Deck 7: Statistics and Probability

Question 1

There are approximately 300,000,000 people living in the United States. The circle graph in Figure given below, shows the breakdown of the U.S. population by ethnic origin. Approximately how many more people of Asian ethnic origin live in the United States than people of American Indian/Alaska Native Islander ethnic origin?

A) 10,600,000 more people
B) 10,400,000 more people
C) 10,700,000 more people
D) 10,500,000 more people
E) 10,300,000 more people

Answer 1

10,500,000 more people

Question 2

An accounting major recorded the number of units required in each discipline to graduate with a degree in accounting. The results are shown in the circle graph below. What percent of the units required to graduate are taken in Humanities? Round your answer to one decimal place.

A) 0.2 $\%$
B) 1.2 $\%$
C) 85.0 $\%$
D) 15.0 $\%$
E) 11.7 $\%$

Answer 2

11.7 $\%$

Question 3

The circle graph shows the number of students enrolled in the various health programs offered at Southeastern Community College. Find the total number of students enrolled in health programs at Southeastern Community College.

A) 300 students
B) 280 students
C) 290 students
D) 294 students
E) 286 students

Answer 3

290 students

Question 4

Suppose that a typical household in the United States has an average after-tax income of $38,950. The circle graph below represents how this annual income is spent. (Note: It is because of rounding that the percents do not add up to 100%.) Approximately what amount is spent on clothing?

A) $233.70
B) $2337.00
C) $2.34
D) $36,613.00
E) $6491.67

Question 5

An accounting major recorded the number of units required in each discipline to graduate with a degree in accounting. The results are shown in the circle graph below. What is the ratio of the number of units in Math to the number of units in Humanities?

A) $\frac { 5 } { 4 }$
B) $12$
C) $15$
D) $\frac { 4 } { 5 }$
E) $\frac { 3 } { 4 }$

Question 6

A nursing student at a community college recorded the number of units required in each discipline to graduate with an Associate Degree Nursing. The results are shown in the circle graph. How many units are required to graduate with an Associate Degree Nursing?

A) 74 units
B) 75 units
C) 72 units
D) 73 units
E) 71 units

Question 7

The circle graph shows a breakdown, according to age, of the homeless in America. Use the graph. What percent of the homeless population is under the age of 54?

A) 89 $\%$
B) 88 $\%$
C) 95 $\%$
D) 92 $\%$
E) 96 $\%$

Question 8

The circle graph shows the budget allocation for the Griner family's income. The annual family income is $125,000. Find the amount of money budgeted annually for vehicle and housing and utilities.

A) $53,850
B) $54,750
C) $52,750
D) $52,250
E) $53,750

Question 9

Suppose that a typical household in the United States has an average after-tax income of $38,450. The circle graph below represents how this annual income is spent. (Note: It is because of rounding that the percents do not add up to 100 $\%$ .) How much more is spent on food than on entertainment?

A) $34.61
B) $3460.50
C) $3360.50
D) $346.05
E) $3560.50

Question 10

There are approximately 300,000,000 people living in the United States. The circle graph in figure given below, shows the breakdown of the U.S. population by ethnic origin. Approximately how many people living in the United States are of American Indian/Alaska Native ethnic origin?

A) 2,998,000 people
B) 3,000,000 people
C) 3,001,000 people
D) 3,002,000 people
E) 2,999,000 people

Question 11

The circle graph shows the budget allocation for the Griner family's income. The annual family income is $125,000. What fractional amount of the budget is designated for insurance costs?

A) $\frac { 4 } { 25 }$
B) $\frac { 7 } { 51 }$
C) $\frac { 1 } { 7 }$
D) $\frac { 7 } { 50 }$
E) $\frac { 8 } { 51 }$

Question 12

The pictograph below shows the approximate gross revenues in the United States from four Walt Disney animated movies. Find the percent of the total gross revenue that was earned by The Lion King. Round your answer to two decimal places.

A) 13.33 $\%$
B) 26.67 $\%$
C) 40.00 $\%$
D) 20.00 $\%$
E) 60.00 $\%$

Question 13

The circle graph shows the number of blood donors of the following blood type who participated in the previous blood drive at a community college. Use the following graph. What percent of donors had blood type A+? Round to the nearest tenth of a percent.

A) 30.1 $\%$
B) 29.8 $\%$
C) 33.3 $\%$
D) 29.6 $\%$
E) 30.3 $\%$

Question 14

The circle graph shows the number of students enrolled in the various health programs offered at Southeastern Community College. What percent of the students enrolled in health programs are enrolled in the medical assisting program? Round to the nearest tenth of a percent.

A) 14.5 $\%$
B) 17.5 $\%$
C) 13.5 $\%$
D) 16.5 $\%$
E) 15.5 $\%$

Question 15

The circle graph shows the number of blood donors of each blood type who participated in the previous blood drive at a community college. What is the ratio of donors with type A- blood to those with type O+ blood?

A) $\frac { 1 } { 5 }$
B) $\frac { 2 } { 3 }$
C) $\frac { 1 } { 3 }$
D) $\frac { 5 } { 3 }$
E) $\frac { 3 } { 5 }$

Question 16

The circle graph shows the number of students enrolled in the various health programs offered at Southeastern Community College. How many more students are in the nursing assisting than in the medical assisting program?

A) 6 students
B) 8 students
C) 9 students
D) 7 students
E) 10 students

Question 17

The pictograph below shows the approximate gross revenues in the United States from four Walt Disney animated movies. Find the ratio of the gross revenue of Beauty and the Beast to the gross revenue of Aladdin.

A) $\frac { 3 } { 4 }$
B) $2$
C) $3$
D) $1$
E) $\frac { 4 } { 3 }$

Question 18

The circle graph shows the number of students enrolled in the various health programs offered at Southeastern Community College. What percent of students enrolled in health programs are enrolled in the medical assisting program? Round to the nearest tenth of a percent.

A) 19.5 $\%$
B) 18.5 $\%$
C) 15.5 $\%$
D) 16.5 $\%$
E) 14.5 $\%$

Question 19

The pictograph in the following figure gives typical hourly rates for these health care providers. Use the graph and find the ratio of the hourly rate for a Certified Dental Assistant to the hourly rate for a Certified Nurse Assistant.

A) 7 to 5
B) 6 to 5
C) 7 to 9
D) 5 to 6
E) 5 to 3

Question 20

The circle graph shows a breakdown, according to age, of the homeless in America. On average, how many of every 100,000 homeless people in America are over the age of 35?

A) 62000 people
B) 63000 people
C) 64000 people
D) 65000 people
E) 61000 people

Question 21

The broken-line graph below shows the average monthly snowfall during ski season around Aspen, Colorado. During which month is the snowfall the least?

A) April
B) January
C) November
D) October
E) March

Question 22

The double-bar graph below shows the fuel efficiency of four vehicles, as rated by the Environmental Protection Agency. They are among the most fuel-efficient 2003 model-year cars for city and highway mileage. Is the fuel efficiency of the Toyota Prius greater on the highway or in city driving?

A) No difference
B) On the highway
C) In city driving

Question 23

The bar graph below shows the regions in which all the passenger cars were produced during a recent year. What percent of the passenger cars were produced in Western Europe? Round your answer to the nearest percent.

A) 38 $\%$
B) 28 $\%$
C) 21 $\%$
D) 8 $\%$
E) 5 $\%$

Question 24

The bar graph below shows the regions in which all the passenger cars were produced during a recent year. What is the difference between the number of passenger cars produced in Western Europe and the number produced in Eastern Europe/Russia?

A) 9 million passenger cars
B) 23 million passenger cars
C) 7 million passenger cars
D) 11 million passenger cars
E) 24 million passenger cars

Question 25

The double-broken-line graph shows the number of Calories per day that should be consumed by women and men in various age groups. Use the following graph. What is the difference between the number of Calories recommended for men and the number recommended for women 11 to 14 years of age?

A) 600 Calories
B) 500 Calories
C) 400 Calories
D) 700 Calories
E) 300 Calories

Question 26

The double-bar graph below shows the fuel efficiency of four vehicles, as rated by the Environmental Protection Agency. They are among the most fuel-efficient 2003 model-year cars for city and highway mileage. Approximately how many more miles per gallon does the Toyota Prius get while traveling in the city than on the highway?

A) No difference
B) Approximately 5 miles per gallon
C) Approximately 20 miles per gallon
D) Approximately 15 miles per gallon
E) Approximately 10 miles per gallon

Question 27

A nurse monitors the blood glucose levels of a patient during the patient's hospital stay. The broken-line graph given below shows the readings during the three-day period. Use this graph. What was the patient's blood sugar level at 7 A.M. on Monday?

A) 150 milligrams/deciliter
B) 100 milligrams/deciliter
C) 200 milligrams/deciliter
D) 300 milligrams/deciliter
E) 50 milligrams/deciliter

Question 28

A nurse monitors the blood glucose levels of a patient during the patient's hospital stay. The broken-line graph shows the readings during the three-day period. Use this graph. If a normal blood sugar reading is between 75 and 150 milligrams/deciliter, how many readings are outside the normal range?

A) 9 readings
B) 5 readings
C) 3 readings
D) 8 readings
E) 4 readings

Question 29

The broken-line graph shows the percent of adults in the United States over 18 years old who took the influenza vaccine during recent years. Use the graph. What percent of U.S. adults aged 18 and older took the influenza vaccine in 2003?

A) 29 $\%$
B) 29.5 $\%$
C) 28.5 $\%$
D) 31 $\%$
E) 27 $\%$

Question 30

The double-broken-line graph below shows the number of Calories per day that should be consumed by women and men in various age groups. Men should consume more Calories than women. What is the difference between the number of Calories recommended for men and the number recommended for women 19-22 years of age?

A) 600 Calories
B) 500 Calories
C) 800 Calories
D) 1000 Calories
E) 1200 Calories

Question 31

A nurse monitors the blood glucose levels of a patient during the patient's hospital stay. The broken-line graph shows the readings during the three-day period. Use this graph. What was the highest blood sugar reading recorded? When was it recorded?

A) 215 milligrams/deciliter; Tuesday at 7 A.M.
B) 210 milligrams/deciliter; Wednesday at 12 P.M.
C) 210 milligrams/deciliter; Tuesday at 10 P.M.
D) 205 milligrams/deciliter; Monday at 10 P.M.
E) 220 milligrams/deciliter; Wednesday at 10 P.M.

Question 32

The double-broken-line graph below shows the number of Calories per day that should be consumed by women and men in various age groups. Men should consume more Calories than women. People of what age and gender have the highest recommended number of Calories?

A) Women ages 19-22
B) Men ages 19-22
C) Men ages 75+
D) Women ages 75+
E) Women ages 11-14

Question 33

The broken-line graph shows the percent of adults in the United States over 18 years old who took the influenza vaccine during recent years. Use the graph. What was the percent increase in U.S. adults aged 18 and older taking the influenza vaccine from 2006 to 2007?

A) 2.5 $\%$
B) 4 $\%$
C) 3 $\%$
D) 5 $\%$
E) 6 $\%$

Question 34

The broken-line graph below shows the average monthly snowfall during ski season around Aspen, Colorado. What is the average snowfall during March?

A) 15 inches
B) 19 inches
C) 17 inches
D) 20 inches
E) 16 inches

Question 35

A nurse monitors the blood glucose levels of a patient during the patient's hospital stay. The broken-line graph shows the readings during the three-day period. Use this graph. Find the difference between the blood sugar reading at 7 A.M. Monday and the reading at 7 A.M. Tuesday.

A) 50 milligrams/deciliter
B) 60 milligrams/deciliter
C) 40 milligrams/deciliter
D) 70 milligrams/deciliter
E) 45 milligrams/deciliter

Question 36

The broken-line graph shows the percent of adults in the United States over 18 years old who took the influenza vaccine during recent years. Use the graph Between what two consecutive years was there a decrease in the percent of U.S. adults aged 18 and older taking the influenza vaccine?

A) 2006 and 2007
B) 2005 and 2006
C) 2004 and 2005
D) 2004 and 2006
E) 2005 and 2007

Question 37

The double-broken-line graph shows the number of Calories per day that should be consumed by women and men in various age groups. Use the following graph. People of what age and gender have the lowest recommended number of Calories?

A) 70+ women
B) 75+ women
C) 60+ women
D) 65+ women
E) 80+ women

Question 38

The bar graph shows the increasing life expectancy of males in the United States from 1930 to 2010. Use this graph. How much greater is the life expectancy for American males in 2000 than it was in 1960?

A) 6 years
B) 8 years
C) 7 years
D) 9 years
E) 5 years

Question 39

The bar graph shows the increasing life expectancy of males in the United States from 1930 to 2010. Use this graph. In which of the years shown was the life expectancy of males in the United States approximately the same?

A) 2000 and 2010
B) 2010 and 2020
C) 1990 and 2000
D) 1980 and 2030
E) 2010 and 1990

Question 40

The bar graph shows the increasing life expectancy of males in the United States from 1930 to 2010. Use this graph. Between what two decades shown on the graph did the life expectancy increase by approximately one years?

A) 1940 and 1960
B) 1940 and 1950
C) 1950 and 1960
D) 1960 and 1950
E) 1960 and 1970

Question 41

Most health statistics list normal body temperature as 98.6°. A recent study of 30 healthy adults recorded their body temperatures at 8 A.M. and then displayed the results in the histogram in the following Figure. Use the Figure and find the percent of body temperatures that were higher than 98.5°.

A) 29.5 $\%$
B) 30.5 $\%$
C) 28.5 $\%$
D) 31.5 $\%$
E) 30 $\%$

Question 42

The total cholesterol readings for 40 female patients seen this week at a doctor's office were recorded. Figure is a histogram of these data. Use the following figure. How many patients had total cholesterol readings between 500 and 600?

A) 4 patients
B) 3 patients
C) 2 patients
D) 5 patients
E) 6 patients

Question 43

The frequency polygon Figure shows the approximate numbers of runners in the 2008 Boston Marathon to finish in each of the given time slots (times are given in hours and minutes). Use the following figure. Find the approximate number of marathoners who finished with times of more than 3 hours.

A) 20,900 marathoners
B) 21,000 marathoners
C) 21,100 marathoners
D) 21,200 marathoners
E) 20,800 marathoners

Question 44

The heights, in inches, of the women in a nursing class were recorded. The results are displayed in the frequency polygon in the Figure. Use the following figure. How many women are between 61 inches and 64 inches tall?

A) 11 women
B) 12 women
C) 9 women
D) 10 women
E) 8 women

Question 45

Most health statistics list normal body temperature as 98.6°. A recent study of 30 healthy adults recorded their body temperatures at 8 A.M. and then displayed the results in the histogram given below. Use the figure. How many body temperatures were lower than 96.5°?

A) 2 temperatures
B) 3 temperatures
C) 0 temperatures
D) 4 temperatures
E) 1 temperatures

Question 46

The resting heart rates for a group of men involved in a clinical trial of a new medication were recorded at the beginning of the study. The results in beats per minute were 70, 87, 66, 67, 75, 78, 78, 82, 71, 74, 82, and 69.9. Calculate the mean, the median, and the mode of the resting heart rates of the group.

A) Mean: 69.9 beats/minute; median: 78.0 beats/minute; mode: 78 beats/minute
B) Mean: 70.9 beats/minute; median: 79.0 beats/minute; mode: 79 beats/minute
C) Mean: 71.9 beats/minute; median: 80.0 beats/minute; mode: 80 beats/minute
D) Mean: 72.9 beats/minute; median: 81.0 beats/minute; mode: 81 beats/minute
E) Mean: 73.9 beats/minute; median: 82.0 beats/minute; mode: 82 beats/minute

Question 47

The frequency polygon in the below Figure shows the approximate numbers of runners in the 2008 Boston Marathon to finish in each of the given time slots (times are given in hours and minutes). Use the following figure. Determine the approximate number of runners who finished with times between 2 $\frac { 1 } { 2 }$ hours and 6 hours.

A) 23,000 runners
B) 22,000 runners
C) 21,000 runners
D) 24,000 runners
E) 20,000 runners

Question 48

The double-broken-line graph shows the number of Calories per day that should be consumed by women and men in various age groups. Use the following graph. Find the ratio of the number of Calories recommended for women 11 to 14 years old to the number recommended for women '23 to 50 years old.

A) $\frac { 11 } { 12 }$
B) $\frac { 12 } { 11 }$
C) $\frac { 10 } { 11 }$
D) $\frac { 11 } { 10 }$
E) $\frac { 13 } { 12 }$

Question 49

The frequency polygon below shows the distances thrown by the entrants in the University and College Discus Finals at the 2003 Drake Relays. What percent of the entrants had distances between 160 and 170 feet? Round your answer to two decimal places.

A) 8.33 $\%$
B) 16.67 $\%$
C) 37.50 $\%$
D) 4.17 $\%$
E) 0.00 $\%$

Question 50

The annual tuition for undergraduate college students attending 4-year institutions varies depending on the college. The histogram below shows the tuition amounts for a representative sample of 124 students from various parts of the United States. What percent of the total number of students spend less than $12,000 annually for tuition? Round your answer to two decimal places.

A) 93.55 $\%$
B) 85.48 $\%$
C) 100.00 $\%$
D) 33.87 $\%$
E) 70.97 $\%$

Question 51

The annual tuition for undergraduate college students attending 4-year institutions varies depending on the college. The histogram below shows the tuition amounts for a representative sample of 124 students from various parts of the United States. How many students pay more than $6000 annually for tuition?

A) 36 students
B) 30 students
C) 18 students
D) 8 students
E) 0 students

Question 52

The heights, in inches, of the women in a nursing class were recorded. The results are displayed in the frequency polygon in the Figure.Use the following figure. What percent of the women are taller than 64 inches?

A) 69 $\%$
B) 68 $\%$
C) 70 $\%$
D) 71 $\%$
E) 67 $\%$

Question 53

The total cholesterol readings for 40 female patients seen this week at a doctor's office were recorded. Figure is a histogram of these data. Use the following figure.Total cholesterol readings lower than 200 are considered normal. How many patients had readings lower than 200?

A) 25 patients
B) 24 patients
C) 23 patients
D) 22 patients
E) 21 patients

Question 54

The frequency polygon below shows the distances thrown by the entrants in the University and College Discus Finals at the 2003 Drake Relays. Find the number of entrants with distances of more than 150 feet.

A) 3
B) 16
C) 7
D) 24
E) 1

Question 55

Most health statistics list normal body temperature as 98.6°. A recent study of 30 healthy adults recorded their body temperatures at 8 A.M. and then displayed the results in the histogram in the following Figure. Use the Figure. Which class has the highest frequency?

A) 96.5° to 98.5°
B) 97.5° to 98.5°
C) 96.5° to 97.5°
D) 98.5° to 99.5°
E) 95.5° to 97.5°

Question 56

The total cholesterol readings for 40 female patients seen this week at a doctor's office were recorded. Figure is a histogram of these data. Use the following figure.If a patient has a total cholesterol reading higher than 300, a doctor may prescribe a cholesterol-lowering medication as well as a change in diet. What percent of these patients had total cholesterol readings higher than 400?

A) 12.5%
B) 14%
C) 14.5%
D) 11%
E) 11.5%

Question 57

The annual tuition for undergraduate college students attending 4-year institutions varies depending on the college. The histogram below shows the tuition amounts for a representative sample of 124 students from various parts of the United States. How many students have a tuition that is between $12,000 and $15,000 per year?

A) 10 students
B) 8 students
C) 42 students
D) 46 students
E) 6 students

Question 58

The frequency polygon in Figure shows the distribution of scores of the approximately 1,548,000 students who took the SAT Math exam in 2010. Use the following figure Approximately how many students scored lower than 700?

A) Approximately 691,000 students
B) Approximately 689,000 students
C) Approximately 688,500 students
D) Approximately 691,500 students
E) Approximately 690,000 students

Question 59

The frequency polygon in Figure shows the distribution of scores of the approximately 1,548,000 students who took the SAT Math exam in 2010. Use the following figure Approximately how many students scored between 200 and 300 on the SAT Math exam?

A) Approximately 31,000 students
B) Approximately 30,000 students
C) Approximately 29,000 students
D) Approximately 31,500 students
E) Approximately 28,500 students

Question 60

The number of big-screen televisions sold each month for 1 year was recorded by an electronics store. The results were 14, 10, 22, 22, 20, 17, 23, 24, 17, 22, 14, and 35. Calculate the mean, the median, and the mode of the number of televisions sold per month.

A) Mean: 21 TVs; median: 22 TVs; mode: 20 TVs
B) Mean: 20 TVs; median: 22 TVs; mode: 21 TVs
C) Mean: 21 TVs; median: 21 TVs; mode: 22 TVs
D) Mean: 20 TVs; median: 20 TVs; mode: 21 TVs
E) Mean: 20 TVs; median: 21 TVs; mode: 22 TVs

Question 61

The life expectancies, in years, in ten selected Central and South American countries are given at the below.
a. Find the mean life expectancy in this group of countries.
b. Find the median life expectancy in this group of countries.
$$\begin{array} { c c } \text { COUNTRY } & \text { LIFE } \\& \text { EXPECTANCY } \\\text { Brazil } & 73 \\\text { Chile } & 77 \\\text { Costa Rica } & 77 \\\text { Ecuador } & 77 \\\text { Guatemala } & 82 \\\text { Panama } & 85 \\\text { Peru } & 82 \\\text { Trinidad and Tobago } & 60 \\\text { Uruguay } & 88 \\\text { Venezuela } & 74\end{array}$$

A) Mean: 80.5 years; median: 80 years
B) Mean: 81.5 years; median: 79 years
C) Mean: 78.5 years; median: 78 years
D) Mean: 77.5 years; median: 77 years
E) Mean: 79.5 years; median: 76 years

Question 62

Eight health maintenance organizations (HMOs) presented group health insurance plans to a company. The monthly rates per employee were $410, $381, $391, $385, $413, $350, $390, and $416. Calculate the mean and the median monthly rates for these eight HMOs.

A) Mean: $390.5; median: $390.5
B) Mean: $390.5; median: $392
C) Mean: $392; median: $392
D) Mean: $392; median: $390.5
E) Mean: $784; median: $390.5

Question 63

The times, in seconds, for a 100-meter dash at a college track meet were 11.00, 10.76, 11.09, 11.50, 10.80, 11.43, 11.22, 11.15, 11.06, and 11.28.
a. Calculate the mean time for the 100-meter dash.
b. Calculate the median time for the 100-meter dash.

A) (a) Mean: 11.129 seconds; (b) median: 11.129 seconds
B) (a) Mean: 11.129 seconds; (b) median: 11.12 seconds
C) (a) Mean: 11.12 seconds; (b) median: 11.12 seconds
D) (a) Mean: 11.12 seconds; (b) median: 11.129 seconds
E) (a) Mean: 12.37 seconds; (b) median: 11.12 seconds

Question 64

A consumer research group recently reported the amount of sugar in 12-ounce servings of six popular soft drinks. The results in grams were 29, 52, 31.5, 36, 47, and 52. Calculate the mean, the median, and the mode of the amount of sugar in these soft drinks.

A) Mean: 43.3 grams; median: 40.5 grams; mode: 32.5grams
B) Mean: 41.3 grams; median: 41.5 grams; mode: 52 grams
C) Mean: 42.3 grams; median: 43.5 grams; mode: 29.5 grams
D) Mean: 40.3 grams; median: 42.5 grams; mode: 30.5 grams
E) Mean: 39.3 grams; median: 39.5 grams; mode: 33.5 grams

Question 65

The number of seats occupied per flight on a jet for 16 trans-Atlantic flights was recorded. The numbers were 310, 419, 381, 416, 402, 352, 362, 320, 412, 386, 331, 407, 397, 377, 415, and 393. Calculate the mean, the median, and the mode of the number of seats occupied per flight.

A) Mean: 389.5 seats; median: 389.5 seats; mode: 384.75 seats
B) Mean: 380 seats; median: 384.75 seats; mode: 389.5 seats
C) Mean: 380 seats; median: 389.5 seats; mode: no mode
D) Mean: 384.75 seats; median: 389.5 seats; mode: no mode
E) Mean: 384.75 seats; median: 389.5 seats; mode: 380 seats

Question 66

The cholesterol levels for 100 adults were recorded and then displayed in the box-and-whiskers plot shown below.
a. How many adults had a cholestorol level above 212?
b. How many adults had a cholestorol level below 249?
c. How many cholestorol levels are represented in each quartile?
d. What percent of the adults had a cholestorol level of not more than 193?

A) (a) 50 adults; (b) 75 adults; (c) 25 cholestorol levels; (d) 25 $\%$
B) (a) 50 adults; (b) 25 adults; (c) 75 cholestorol levels; (d) 75 $\%$
C) (a) 25 adults; (b) 75 adults; (c) 50 cholestorol levels; (d) 75 $\%$
D) (a) 25 adults; (b) 75 adults; (c) 50 cholestorol levels; (d) 25 $\%$
E) None of the above

Question 67

A consumer research group purchased identical items in eight drugstores. The costs for the purchased items were $85.74, $90.7, $81.43, $80.65, $88.73, $82.42, $87.9, and $85.82. Calculate the mean and the median costs of the purchased items.

A) Mean: $87.421; median: $87.780
B) Mean: $86.421; median: $86.780
C) Mean: $85.421; median: $85.780
D) Mean: $87.621; median: $87.980
E) Mean: $88.721; median: $89.080

Question 68

Cymbalta is a prescription medication used to treat depression. The probabilities of some of the side effects from this medication are listed in below table.
a. If 35 patients take this medication, how many would you expect to experience headaches as a side effect?
b. If 65 patients take this medication and five of them report dizziness as a side effect, is this more or less than the number you would expect based on the probabilities in the table?
$$\begin{array} { l l } \text { Side Effect } & \text { Probablity } \\\text { Nausea } & 23 \% \\\text { Dry Mouth } & 10 \% \\\text { Headaches } & 18 \% \\\text { Fatigue } & 11 \% \\\text { Dizziness } & 8 \%\end{array}$$

A) a. 7 patients b. Less
B) a. 6 patients b. Less
C) a. 8 patients b. More
D) a. 5 patients b. More
E) a. 9 patients b. Less

Question 69

Of 3981 obese patients who had weight loss bariatric surgery including stomach stapling, stomach banding and gastric bypass, 67 died after surgery. Suppose these statistics are used to determine the probability of death following bariatric surgery. Calculate that probability in the form of a percent. Round to the nearest tenth of a percent.

A) 2.6 $\%$
B) 2.9 $\%$
C) 1.2 $\%$
D) 1.7 $\%$
E) 1.5 $\%$

Question 70

The number of days that 12 patients stayed in a hospital after hip replacement was recorded during January and are shown in the table below. Find the mean and median length of hospital stay for these patients. Round to the nearest tenth. 5
8
4
4
8
6
4
5
5
8
5
4

A) Mean: 6.5 days; Median: 6.0 days
B) Mean: 5.5 days; Median: 5.0 days
C) Mean: 4.5 days; Median: 4.0 days
D) Mean: 7.5 days; Median: 7.0 days
E) Mean: 3.5 days; Median: 3.0 days

Question 71

Two dice are rolled.
a. What is the probability that the sum of the dots on the upward faces is 7?
b. What is the probability that the sum of the dots on the upward faces is 13?
c. What is the probability that the sum of the dots on the upward faces is less than 16?
d. What is the probability that the sum of the dots on the upward faces is 4?

A) (a) $\frac { 1 } { 6 }$ ; (b) 0; (c) 1; (d) $\frac { 1 } { 18 }$
B) (a) $\frac { 7 } { 36 }$ ; (b) 1; (c) 0; (d) $\frac { 1 } { 12 }$
C) (a) $\frac { 1 } { 6 }$ ; (b) 0; (c) 1; (d) $\frac { 1 } { 12 }$
D) (a) $\frac { 7 } { 36 }$ ; (b) 1; (c) 0; (d) $\frac { 1 } { 18 }$
E) (a) $\frac { 1 } { 6 }$ ; (b) 1; (c) 0; (d) $\frac { 1 } { 18 }$

Question 72

Each of the letters of the word MISSISSIPPI is written on a card, and the cards are placed in a hat. One card is drawn at random from the hat.
a. What is the probability that the card has the letter P on it?
b. Which is greater, the probability of choosing a letter P or that of choosing a letter I?

A) (a) $\frac { 1 } { 4 }$ ; (b) Choosing a letter I
B) (a) $\frac { 1 } { 4 }$ ; (b) Neither
C) (a) $\frac { 2 } { 11 }$ ; (b) Choosing a letter P
D) (a) $\frac { 2 } { 11 }$ ; (b) Choosing a letter I
E) (a) $\frac { 1 } { 4 }$ ; (b) Choosing a letter P

Question 73

The box-and-whiskers plot below shows the distribution of median incomes for 50 towns. What is the lowest value in the set of data? The highest value? The first quartile? The third quartile? The median? Find the range and the interquartile range.

A) Lowest = $36,822; highest = $64,034; Q1 = $51,755; Q3 = $43,925; median = $47,652; range = $27,212; interquartile range = $7830
B) Lowest = $36,822; highest = $64,034; Q1 = $43,925; Q3 = $51,755; median = $47,652; range = $7830; interquartile range = $27,212
C) Lowest = $36,822; highest = $64,034; Q1 = $43,925; Q3 = $51,755; median = $47,652; range = $27,212; interquartile range = $7830
D) Lowest = $36,822; highest = $64,034; Q1 = $51,755; Q3 = $43,925; median = $47,652; range = $7830; interquartile range = $27,212
E) None of the above

Question 74

A dodecahedral die has 12 sides numbered from 1 to 12. The die is rolled once.
a. What is the probability that the upward face shows a number divisible by 2?
b. What is the probability that the upward face shows a number that is a multiple of 11?

A) (a) $\frac { 1 } { 2 }$ ; (b) $\frac { 1 } { 12 }$
B) (a) $\frac { 1 } { 4 }$ ; (b) $\frac { 1 } { 24 }$
C) (a) $\frac { 1 } { 4 }$ ; (b) $\frac { 1 } { 12 }$
D) (a) $\frac { 1 } { 2 }$ ; (b) $\frac { 1 } { 24 }$
E) (a) $\frac { 1 } { 2 }$ ; (b) $\frac { 1 } { 6 }$

Question 75

A patient's blood sugar readings were recorded during a recent stay in the hospital. The results in milligrams/deciliter were 210, 202, 163, 184, 199, 159, 130, 159, 122, 103, 108, and 92.
a. Calculate the mean blood sugar reading for this patient.
b. Calculate the median blood sugar reading for this patient.

A) a. 154.6 milligrams/deciliter b. 161 milligrams/deciliter
B) a. 153.6 milligrams/deciliter b. 160 milligrams/deciliter
C) a. 151.6 milligrams/deciliter b. 158 milligrams/deciliter
D) a. 152.6 milligrams/deciliter b. 159 milligrams/deciliter
E) a. 150.6 milligrams/deciliter b. 157 milligrams/deciliter

Question 76

A consumer research group purchased identical items in eight grocery stores. The costs for the purchased items were $42.27, $48.60, $37.79, $37.01, $45.21, $38.78, $44.31, and $42.21. Calculate the mean and the median costs of the purchased items. Round your answers to four decimal places.

A) Mean: $42.2400; median: $42.2400
B) Mean: $42.0225; median: $42.2400
C) Mean: $42.0225; median: $42.0225
D) Mean: $42.2400; median: $42.0225
E) Mean: $48.0257; median: $42.2400

Question 77

Eight health maintenance organizations (HMOs) presented group health insurance plans to a company. The monthly rates per employee were $430, $398, $405, $387, $424, $353, $410 and $435. Calculate the mean and the median monthly rates for these eight companies.

A) Mean: $410.25; median: $410.50
B) Mean: $407.25; median: $408.50
C) Mean: $405.25; median: $407.50
D) Mean: $404.25; median: $409.50
E) Mean: $408.25; median: $406.50

Question 78

Three blue marbles, eight green marbles, and seven red marbles are placed in a bag. One marble is chosen at random.
a. What is the probability that the marble chosen is red?
b. Which is greater, the probability of choosing a blue marble or that of choosing a red marble?

A) (a) $\frac { 7 } { 36 }$ ; (b) Choosing a red marble
B) (a) $\frac { 7 } { 36 }$ ; (b) Neither
C) (a) $\frac { 7 } { 18 }$ ; (b) Choosing a blue marble
D) (a) $\frac { 7 } { 18 }$ ; (b) Choosing a red marble
E) (a) $\frac { 7 } { 36 }$ ; (b) Choosing a blue marble

Question 79

There are 15 students in the medical assisting class at the community college. Their ages are 22, 27, 21, 30, 44, 26, 23, 24, 46, 37, 38, 30, 24, 22, and 49. Find the mean and median ages of this class of students. Round to the nearest tenth.

A) Mean: 35.9 years; Median: 29.7 years
B) Mean: 31.9 years; Median: 28.7 years
C) Mean: 33.9 years; Median: 26.7 years
D) Mean: 30.9 years; Median: 27.7 years
E) Mean: 32.9 years; Median: 25.7 years

Question 80

A survey of 573 people showed that 711 had a group health insurance plan where they worked. On the basis of this survey, what is the empirical probability that an employee has a group health insurance plan? Write the answer as a decimal rounded to the nearest hundredth.

A) 1.81
B) 0.61
C) 2.81
D) 0.81
E) 0.41