Q: Which of the following is the correct formula for calculating relative frequency?

$$\frac{\text{frequency}}{\text{total number of measurements}} \times 100$$

Q: In a frequency distribution, what is the formula for the class midpoint?

$$\frac{\text{lower class limit} + \text{upper class limit}}{2}$$

Question 1

Which of the following best describes the difference between qualitative and quantitative data?

Accepted Answer

Qualitative data consists of names or labels, while quantitative data consists of numerical values.

Question 2

A bar chart is most appropriate for which type of data?

Accepted Answer

Qualitative data

Question 3

Given the following frequency distribution for travel time to work (mins):

5–15: 156
16–26: 343
27–37: 249
38–48: 172
49–59: 40
60–70: 8
71–81: 1

What is the class width?

Accepted Answer

$$11$$

Question 4

If a frequency distribution table has a lower class limit of 20 and an upper class limit of 29, what is the class midpoint?

Accepted Answer

$$\frac{20 + 29}{2} = 24.5$$

Question 5

A histogram is used to display which type of data?

Accepted Answer

Quantitative data

Question 6

Which of the following is the correct formula for calculating relative frequency?

Accepted Answer

$$\frac{	ext{frequency}}{	ext{total number of measurements}} 	imes 100$$

Question 7

You are given a data set with a minimum value of 16 and a maximum value of 71, and you want to organize it into 7 classes. What is the class width?

Accepted Answer

$$\frac{71 - 16}{7} = 7.857$$, round up to $$8$$

Question 8

Which of the following distributions is most likely to be represented by a histogram with a long tail to the right?

Accepted Answer

Skewed right distribution

Question 9

A pie chart is used to display which type of data?

Accepted Answer

Qualitative data

Question 10

If you have the following overtime hours worked by 12 employees: 3, 8, 5, 12, 14, 7, 9, 15, 10, 13, 4, 4, and you are asked to construct a frequency distribution with a lower class limit of 3 and a class width of 4, what is the upper class limit of the second class?

Accepted Answer

$$3 + 4 - 1 = 6$$

Question 11

In a frequency distribution, what is the formula for the class midpoint?

Accepted Answer

$$\frac{	ext{lower class limit} + 	ext{upper class limit}}{2}$$

Question 12

A histogram for the number of books read in a month has classes: 0–2, 3–5, 6–8, 9–11, 12–14. What is the class width?

Accepted Answer

$$3$$

Question 13

If a frequency distribution has 8 classes, a minimum value of 15, and a maximum value of 115, what is the class width?

Accepted Answer

$$\frac{115 - 15}{8} = 12.5$$, round up to $$13$$

Question 14

Which of the following is NOT a step in constructing a frequency distribution?

Accepted Answer

Calculate the mean of the data

Question 15

A café records the number of customers served per hour over 14 hours: 15, 24, 30, 21, 27, 35, 32, 31, 38, 41, 26, 33, 36, 40. If the lower class limit is 15 and the class width is 5, how many classes are needed to include all data?

Accepted Answer

$$\frac{41 - 15}{5} = 5.2$$, round up to $$6$$

Question 16

Which graph is best for displaying the frequency of eye colors in a classroom?

Accepted Answer

Bar chart

Question 17

If a histogram shows a distribution where most data is concentrated on the left and the tail extends to the right, what is the shape of the distribution?

Accepted Answer

Skewed right

Question 18

Which of the following is true about a uniform distribution as shown in a histogram?

Accepted Answer

All classes have approximately equal frequencies.

Question 19

When using a TI-84 calculator to create a histogram, which step is necessary to adjust the class boundaries?

Accepted Answer

Set Xscl to desired class width in WINDOW.

Visualizing and Summarizing Data: Frequency Distributions and Histograms

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