Deck 3: Statistical Parameters: Measures of Central Tendency and Variation

Question 1

What is the standard deviation (rounded to one decimal place) for the previous set of scores?

A)10.12
B)10.11
C)10.1
D)10.2

Answer 1

10.1

Question 2

The following is a list of annual salaries (in dollars) for a group of mid-level managers in a large company. $\begin{array} { r r r r } \hline 98,000 & 115,000 & 75,000 & 88,000 \\65,000 & 107,000 & 72,000 & 71,000 \\88,000 & 57,000 & 88,000 & 73,000 \\97,000 & 85,000 & 87,000 & 73,000 \\93,000 & 88,000 & 71,000 & 65,000 \\87,000 & 83,000 & 75,000 & 44,000 \\81,000 & 76,000 & 81,000 & 89,000 \\\hline\end{array}$

-What is the median of the salaries (rounded to a whole number)?

A)82,000
B)81,111
C)88,000
D)14,864

Answer 2

82,000

Question 3

What is the range of the previous set of scores?

A)18
B)64
C)46
D)490

Answer 3

46

Question 4

The "unbiased" aspect of an unbiased estimator indicates that

A)it holds for all ethnic groups
B)it underestimates the population value with the same tendency as it overestimates the population value
C)it works in skewed as well as nonskewed distributions
D)all of the above

Question 5

The following is a list of annual salaries (in dollars) for a group of mid-level managers in a large company. $\begin{array} { r r r r } \hline 98,000 & 115,000 & 75,000 & 88,000 \\65,000 & 107,000 & 72,000 & 71,000 \\88,000 & 57,000 & 88,000 & 73,000 \\97,000 & 85,000 & 87,000 & 73,000 \\93,000 & 88,000 & 71,000 & 65,000 \\87,000 & 83,000 & 75,000 & 44,000 \\81,000 & 76,000 & 81,000 & 89,000 \\\hline\end{array}$

-The top salary in the previous set was $115,000.Would you consider that salary

A)a klinker
B)an outlier
C)neither because it falls well within three standard deviations of the mean

Question 6

What is the variance (rounded to one decimal place) of the previous set of scores?

A)102.4
B)102.3
C)102.368
D)102

Question 7

The following is a list of annual salaries (in dollars) for a group of mid-level managers in a large company. $\begin{array} { r r r r } \hline 98,000 & 115,000 & 75,000 & 88,000 \\65,000 & 107,000 & 72,000 & 71,000 \\88,000 & 57,000 & 88,000 & 73,000 \\97,000 & 85,000 & 87,000 & 73,000 \\93,000 & 88,000 & 71,000 & 65,000 \\87,000 & 83,000 & 75,000 & 44,000 \\81,000 & 76,000 & 81,000 & 89,000 \\\hline\end{array}$

-What is the mean of the salaries (rounded to a whole number)?

A)81,000
B)81,143
C)88,000
D)14,864

Question 8

The following is a list of annual advertising expenses (in dollars) for a group of states' mental health centers. $\begin{array} { c c c c } \hline 1500 & 11,000 & 7500 & 800 \\600 & 2350 & 3000 & 3800 \\500 & 6000 & 8000 & 500 \\1750 & 1250 & 50 & 3400 \\9000 & 890 & 1600 & 2200 \\\hline\end{array}$

-What is the median of the advertising expenses (rounded to a whole number)?

A)$3284
B)$3285
C)$1975
D)$3241

Question 9

With respect to the mean and the median values of the previous set of scores, which of the following is true?

A)the median is lower than the mean, suggesting a negative skew
B)the median is lower than the mean, suggesting a positive skew
C)the standard deviation is lower than the variance, suggesting a positive skew
D)both b and c are correct

Question 10

Which of the following is NOT true of the mean?

A)it is appropriate for normal and skewed distributions
B)it is the same as the arithmetic average
C)it belongs in the category of parameters of central tendency
D)it is considered an unbiased estimator

Question 11

The following is a list of annual advertising expenses (in dollars) for a group of states' mental health centers. $\begin{array} { c c c c } \hline 1500 & 11,000 & 7500 & 800 \\600 & 2350 & 3000 & 3800 \\500 & 6000 & 8000 & 500 \\1750 & 1250 & 50 & 3400 \\9000 & 890 & 1600 & 2200 \\\hline\end{array}$

-What is the mode advertising expense (rounded to a whole number)?

A)$500
B)$3285
C)$1975
D)$3241

Question 12

The following is a list of annual advertising expenses (in dollars) for a group of states' mental health centers. $\begin{array} { c c c c } \hline 1500 & 11,000 & 7500 & 800 \\600 & 2350 & 3000 & 3800 \\500 & 6000 & 8000 & 500 \\1750 & 1250 & 50 & 3400 \\9000 & 890 & 1600 & 2200 \\\hline\end{array}$

-What is the standard deviation of the advertising expenses (rounded to a whole number)?

A)$3284
B)$3285
C)$1975
D)$3241

Question 13

The following is a list of annual salaries (in dollars) for a group of mid-level managers in a large company. $\begin{array} { r r r r } \hline 98,000 & 115,000 & 75,000 & 88,000 \\65,000 & 107,000 & 72,000 & 71,000 \\88,000 & 57,000 & 88,000 & 73,000 \\97,000 & 85,000 & 87,000 & 73,000 \\93,000 & 88,000 & 71,000 & 65,000 \\87,000 & 83,000 & 75,000 & 44,000 \\81,000 & 76,000 & 81,000 & 89,000 \\\hline\end{array}$

-What is the mode salary (rounded to a whole number)?

A)81,000
B)81,111
C)88,000
D)14,864

Question 14

The following is a list of annual advertising expenses (in dollars) for a group of states' mental health centers. $\begin{array} { c c c c } \hline 1500 & 11,000 & 7500 & 800 \\600 & 2350 & 3000 & 3800 \\500 & 6000 & 8000 & 500 \\1750 & 1250 & 50 & 3400 \\9000 & 890 & 1600 & 2200 \\\hline\end{array}$

-What is the mean of the advertising expenses (rounded to a whole number)?

A)$3284
B)$3285
C)$1975
D)$3241

Question 15

What is the median for the previous set of scores?

A)22.5
B)22
C)23
D)23.5

Question 16

What is the mean (rounded to two decimal places) of the following set of first-time statistics students' ages: 18, 18, 18, 19, 19, 19, 19, 20, 22, 22, 23, 23, 23, 24, 25, 26, 26, 29, 33, 64?

A)24.5
B)25
C)24.50

Question 17

The most important reason that the median is preferred to the mean is

A)it is more useful than the mean in inferential statistics
B)it is an unbiased estimator of the population median value
C)it is a more accurate measure of central tendency in highly skewed distributions
D)it is a better measure of variation

Question 18

The following is a list of annual advertising expenses (in dollars) for a group of states' mental health centers. $\begin{array} { c c c c } \hline 1500 & 11,000 & 7500 & 800 \\600 & 2350 & 3000 & 3800 \\500 & 6000 & 8000 & 500 \\1750 & 1250 & 50 & 3400 \\9000 & 890 & 1600 & 2200 \\\hline\end{array}$

-The lowest advertising expense in the previous set was $50.Would you consider that expense

A)a klinker
B)an outlier
C)neither because it falls well within three standard deviations of the mean

Question 19

What is the mode score, and what is its frequency?

A)18 and 3
B)23 and 3
C)19 and 4
D)4 and 19

Question 20

The following is a list of annual salaries (in dollars) for a group of mid-level managers in a large company. $\begin{array} { r r r r } \hline 98,000 & 115,000 & 75,000 & 88,000 \\65,000 & 107,000 & 72,000 & 71,000 \\88,000 & 57,000 & 88,000 & 73,000 \\97,000 & 85,000 & 87,000 & 73,000 \\93,000 & 88,000 & 71,000 & 65,000 \\87,000 & 83,000 & 75,000 & 44,000 \\81,000 & 76,000 & 81,000 & 89,000 \\\hline\end{array}$

-What is the standard deviation of the salaries (rounded to a whole number)?

A)81,000
B)81,111
C)88,000
D)14,701

Question 21

Approximately how many students should have IQs greater than 130?

A)9
B)18
C)27
D)36

Question 22

Approximately how many students will have IQs greater than 100?

A)118
B)174
C)169
D)237

Question 23

The following is a list of annual advertising expenses (in dollars) for a group of states' mental health centers. $\begin{array} { c c c c } \hline 1500 & 11,000 & 7500 & 800 \\600 & 2350 & 3000 & 3800 \\500 & 6000 & 8000 & 500 \\1750 & 1250 & 50 & 3400 \\9000 & 890 & 1600 & 2200 \\\hline\end{array}$

-What is the range of the previous advertising expenses?

A)$11,050
B)$10,050
C)$10,950
D)none of the above

Question 24

The most common IQ tests have a standardized mean of 100 and a standard deviation of 15.Based on this information, use the empirical rule to answer the following question: If approximately 348 prospective college students are tested for their IQ, approximately how many will fall within one standard deviation of the mean?

A)345
B)338
C)313
D)237

Question 25

Approximately how many students will have at least an IQ of 100 but not greater than 115?

A)68%
B)169
C)174
D)118