Question 1

Using 5 classes of width 100 starting at 200, construct a frequency distribution for the following numbers: 440, 386, 563, 403, 571, 448, 484, 496, 212, 696
Use the frequency counts for all 5 classes, starting with class 200 to 299, as your answer.
A) 2, 7, 1, 0, 0
B) 1, 1, 5, 2, 1
C) 3, 1, 0, 2, 1
D) 2, 2, 1, 0, 1

Accepted Answer

The classes are 200-299, 300-399, 400-499, 500-599, 600-699. The numbers fall into these classes as follows: 1 in 200-299 (212), 1 in 300-399 (386), 5 in 400-499 (403, 440, 448, 484, 496), 2 in 500-599 (563, 571), and 1 in 600-699 (696).

Question 2

Find the range of the following numbers: 62, 20, 34, 75, 28, 86, 33, 68
A) 48
B) 20 & 86
C) 66
D) 50.8

Accepted Answer

The range of a set of numbers is the difference between the largest and smallest numbers. In this set, the largest number is 86 and the smallest is 20. So, the range is 86 - 20 = 66.

Question 3

Given this histogram, find the number of workers who produced 60−64 units. (All frequencies graphed to nearest 5) 
A) 20
B) 25
C) 40
D) 35

Accepted Answer

The answer of Given this histogram, find the number of...

Question 4

Using 6 classes of width 15 starting at 30, construct a frequency distribution for the following numbers: 64, 36, 47, 70, 82, 77, 104, 88, 101, 90, 116. What is the frequency for class 4, 75 to 89?
A) 1
B) 2
C) 3
D) 4

Accepted Answer

The fourth class, which ranges from 75 to 89, includes the numbers 77, 82, and 88, making the frequency for this class 3.

Question 5

Descriptive statistics is the process of arriving to predictions, forecasts, or estimates based on the data under study.

Accepted Answer

Descriptive statistics summarize and organize characteristics of a data set, without drawing conclusions or making predictions.

Question 6

Using 5 classes of width 150 starting at 100, construct a frequency distribution for the following numbers: 436, 786, 355, 211, 117, 821, 619, 679, 697, 644, 168, 145, 655, 176
Use the frequency counts for all 5 classes, starting with class 100 to 249, as your answer.
A) 4, 0, 1, 5, 2
B) 7, 2, 1, 6, 2
C) 5, 1, 1, 5, 2
D) 7, 3, 2, 5

Accepted Answer

The classes are: 100-249, 250-399, 400-549, 550-699, 700-849. Counting the numbers in each class: 100-249 has 5 numbers (117, 145, 168, 176, 211), 250-399 has 1 number (355), 400-549 has 1 number (436), 550-699 has 5 numbers (619, 644, 655, 679, 697), and 700-849 has 2 numbers (786, 821).

Question 7

Calculate the mean of the grouped data from the given frequency distribution. (Round to nearest tenth) $$\begin{array} { | l | l | } 
\hline \text { Class } & \text { Frequency (f) } \
\hline 30 \text { to } 39 & 2 \
\hline 40 \text { to } 49 & 2 \
\hline 50 \text { to } 59 & 2 \
\hline 60 \text { to } 69 & 5 \
\hline
\end{array}$$
A) 28.7
B) 25.9
C) 38.3
D) 53.6

Accepted Answer

To calculate the mean of grouped data, you first find the midpoint of each class by averaging the upper and lower bounds. Then, multiply each midpoint by the class frequency, sum these products, and divide by the total frequency. The midpoints are 34.5, 44.5, 54.5, and 64.5 for the respective classes. The calculation is as follows: $\frac{(34.5*2) + (44.5*2) + (54.5*2) + (64.5*5)}{2+2+2+5} = \frac{69 + 89 + 109 + 322.5}{11} = \frac{589.5}{11} = 53.6$.

Question 8

The range is used as a measure of the dispersion in a set of data.

Accepted Answer

The range measures the dispersion in a set of data by calculating the difference between the largest and smallest values in the dataset, indicating how spread out the values are.

Question 9

Find the range of the following numbers: 473, 167, 109, 164, 534, 468
A) 164
B) 364
C) 359
D) 425

Accepted Answer

The range is the difference between the highest and lowest numbers. The highest number is 534 and the lowest is 109, so the range is 534 - 109 = 425.

Question 10

The arithmetic mean is the sum of the values of a set of data divided by the number of values in that set.

Accepted Answer

The arithmetic mean is calculated by adding all the numbers in a data set and then dividing by the count of those numbers.

Question 11

A component bar chart is used to illustrate the relationship between two or more similar values.

Accepted Answer

A component bar chart is used to show how different parts contribute to a whole, not to illustrate the relationship between two or more similar values.

Question 12

Calculate the mean of the grouped data from the given frequency distribution. (Round to nearest tenth) $$\begin{array} { | l | l | } 
\hline \text { Class } & \text { Frequency } ( f ) \
\hline 200 \text { to } 249 & 3 \
\hline 250 \text { to } 299 & 1 \
\hline 300 \text { to } 349 & 1 \
\hline 350 \text { to } 399 & 3 \
\hline 400 \text { to } 449 & 1 \
\hline 450 \text { to } 499 & 3 \
\hline
\end{array}$$
A) 353.7
B) 286.5
C) 253.7
D) 250.0

Accepted Answer

To calculate the mean of the grouped data, first find the midpoint of each class by averaging the upper and lower bounds. Then, multiply each midpoint by the class frequency to find the "weighted" midpoints. Sum these products and divide by the total frequency to get the mean.Midpoints: (224.5, 274.5, 324.5, 374.5, 424.5, 474.5)Weighted midpoints: (673.5, 274.5, 324.5, 1123.5, 424.5, 1423.5)Total frequency: 12Sum of weighted midpoints: 4244Mean = 4244 / 12 = 353.666...Rounded to the nearest tenth: 353.7

Question 13

Using 4 classes of width 150 starting at 500, construct a frequency distribution for the following numbers: 773, 500, 751, 710, 774, 1060, 835, 887, 984, 697. What is the frequency of class 2, 650 to 799?
A) 1
B) 2
C) 4
D) 5

Accepted Answer

The answer of Using 4 classes of width 150 starting...

Question 14

The mode is the value or values in a set of data that occur most often.

Accepted Answer

The mode is indeed defined as the value or values that appear most frequently in a data set.

Question 15

Calculate the mean of the grouped data from the given frequency distribution. (Round your answer to the nearest tenth) $$\begin{array} { | l | l | } 
\hline \text { Class } & \text { Frequency } ( f ) \
\hline 20 \text { to } 29 & 1 \
\hline 30 \text { to } 39 & 3 \
\hline 40 \text { to } 49 & 3 \
\hline 50 \text { to } 59 & 1 \
\hline 60 \text { to } 69 & 1 \
\hline 70 \text { to } 79 & 1 \
\hline
\end{array}$$
A) 27.0
B) 45.5
C) 32.4
D) 49.5

Accepted Answer

To calculate the mean of the grouped data, first find the midpoint of each class by averaging the upper and lower bounds. Then, multiply each midpoint by the class frequency and sum these products. Finally, divide by the total frequency.Midpoints: (20+29)/2 = 24.5, (30+39)/2 = 34.5, (40+49)/2 = 44.5, (50+59)/2 = 54.5, (60+69)/2 = 64.5, (70+79)/2 = 74.5.Multiplying each midpoint by its frequency and summing: (24.5*1) + (34.5*3) + (44.5*3) + (54.5*1) + (64.5*1) + (74.5*1) = 24.5 + 103.5 + 133.5 + 54.5 + 64.5 + 74.5 = 455.Total frequency = 1 + 3 + 3 + 1 + 1 + 1 = 10.Mean = 455 / 10 = 45.5.

Question 16

Given this histogram, find the class which has the smallest frequency. (All frequencies graphed to nearest 5) 
A) 5−6
B) 7−8
C) 1−2
D) 9−10

Accepted Answer

The answer of Given this histogram, find the class which...

Question 17

Calculate the mean of the grouped data from the given frequency distribution. (Round your answer to the nearest tenth) $$\begin{array} { | l | l | } 
\hline \text { Class } & \text { Frequency } ( f ) \
\hline 300 \text { to } 399 & 2 \
\hline 400 \text { to } 499 & 1 \
\hline 500 \text { to } 599 & 4 \
\hline 600 \text { to } 699 & 3 \
\hline 700 \text { to } 799 & 1 \
\hline
\end{array}$$
A) 225.3
B) 549.5
C) 272.3
D) 449.5

Accepted Answer

To calculate the mean of the grouped data, first find the midpoint of each class by averaging the upper and lower bounds. Then, multiply each midpoint by the class frequency and sum these products. Finally, divide by the total frequency. The calculation is as follows:- Midpoint of 300 to 399 = (300 + 399) / 2 = 349.5- Midpoint of 400 to 499 = (400 + 499) / 2 = 449.5- Midpoint of 500 to 599 = (500 + 599) / 2 = 549.5- Midpoint of 600 to 699 = (600 + 699) / 2 = 649.5- Midpoint of 700 to 799 = (700 + 799) / 2 = 749.5Multiplying each midpoint by its frequency and summing:- $349.5 \times 2 = 699$- $449.5 \times 1 = 449.5$- $549.5 \times 4 = 2198$- $649.5 \times 3 = 1948.5$- $749.5 \times 1 = 749.5$Sum = $699 + 449.5 + 2198 + 1948.5 + 749.5 = 6044.5$Total frequency = $2 + 1 + 4 + 3 + 1 = 11$Mean = $6044.5 / 11 = 549.5$

Question 18

A type of bar chart used to display the data from a frequency distribution is called a histogram.

Accepted Answer

A histogram is indeed a type of bar chart that is specifically used to represent the frequency distribution of numerical data.

Question 19

The midpoint value of a set of data when numbers are ranked in ascending or descending order is called the median.

Accepted Answer

The median is indeed the middle value in a data set when the numbers are arranged in either ascending or descending order. If there is an even number of observations, the median is the average of the two middle numbers.

Question 20

Find the range of the following numbers: 42.5, 42.75, 73.01, 88.55, 75, 84.57, 67.38
A) 42.75
B) 47.25
C) 46.05
D) 44.75

Accepted Answer

The answer of Find the range of the following numbers:...

Quiz 21: Business Statistics and Data Presentation

Using 5 classes of width 100 starting at 200, construct a frequency distribution for the following numbers: 440, 386, 563, 403, 571, 448, 484, 496, 212, 696 Use the frequency counts for all 5 classes, starting with class 200 to 299, as your answer.

Find the range of the following numbers: 62, 20, 34, 75, 28, 86, 33, 68

Given this histogram, find the number of workers who produced 60−64 units. (All frequencies graphed to nearest 5)

Using 6 classes of width 15 starting at 30, construct a frequency distribution for the following numbers: 64, 36, 47, 70, 82, 77, 104, 88, 101, 90, 116. What is the frequency for class 4, 75 to 89?

Descriptive statistics is the process of arriving to predictions, forecasts, or estimates based on the data under study.

Using 5 classes of width 150 starting at 100, construct a frequency distribution for the following numbers: 436, 786, 355, 211, 117, 821, 619, 679, 697, 644, 168, 145, 655, 176 Use the frequency counts for all 5 classes, starting with class 100 to 249, as your answer.

The range is used as a measure of the dispersion in a set of data.

Find the range of the following numbers: 473, 167, 109, 164, 534, 468

The arithmetic mean is the sum of the values of a set of data divided by the number of values in that set.

A component bar chart is used to illustrate the relationship between two or more similar values.

Using 4 classes of width 150 starting at 500, construct a frequency distribution for the following numbers: 773, 500, 751, 710, 774, 1060, 835, 887, 984, 697. What is the frequency of class 2, 650 to 799?

The mode is the value or values in a set of data that occur most often.

Given this histogram, find the class which has the smallest frequency. (All frequencies graphed to nearest 5)

A type of bar chart used to display the data from a frequency distribution is called a histogram.

The midpoint value of a set of data when numbers are ranked in ascending or descending order is called the median.

Find the range of the following numbers: 42.5, 42.75, 73.01, 88.55, 75, 84.57, 67.38