Question 1

Which of the following best describes a frequency distribution?

Accepted Answer

A method for organizing raw data into a table that shows the number of occurrences for each value or group of values.

Question 2

Given the class limits 10–19, 20–29, 30–39, what are the class boundaries for the first class?

Accepted Answer

$$9.5 	ext{ to } 19.5$$

Question 3

How do you calculate the midpoint for a class with lower class limit $$L$$ and upper class limit $$U$$?

Accepted Answer

$$\frac{L + U}{2}$$

Question 4

A grouped frequency distribution is most appropriate when:

Accepted Answer

The data are quantitative and there are many distinct values.

Question 5

If a frequency table has the following frequencies: 2, 5, 8, 10, what is the sample size?

Accepted Answer

$$2 + 5 + 8 + 10 = 25$$

Question 6

Which of the following is NOT a component of a frequency table for quantitative data?

Accepted Answer

Mode

Question 7

A frequency polygon is constructed by plotting points at:

Accepted Answer

The midpoints of each class interval and connecting them with straight lines.

Question 8

In constructing a grouped frequency distribution, if the class width is calculated as 4.2, what should you use as the class width?

Accepted Answer

$$5$$

Question 9

Which type of graph is best for displaying cumulative frequency?

Accepted Answer

Ogive

Question 10

Given the following class limits: 21–25, 26–30, and their frequencies: 8, 6, what is the cumulative frequency for the second class?

Accepted Answer

$$8 + 6 = 14$$

Question 11

A data set of exam scores is summarized in a frequency table. The highest frequency occurs in the middle class, and frequencies decrease symmetrically on both sides. What is the shape of this distribution?

Accepted Answer

Bell shape

Question 12

Which of the following statements about categorical frequency distributions is TRUE?

Accepted Answer

There is no midpoint for categorical data.

Question 13

If a distribution is skewed right, which of the following is true?

Accepted Answer

The right tail of the peak is longer than the left tail.

Question 14

A dot plot is most useful for which type of data?

Accepted Answer

Small sets of quantitative data to show individual values.

Question 15

Given the class limits 40–44 and 45–49, what is the class boundary between these two classes?

Accepted Answer

$$44.5$$

Question 16

Which of the following steps is NOT required when constructing a grouped frequency distribution?

Accepted Answer

Calculating the mean of the data.

Question 17

A histogram differs from a bar graph in that:

Accepted Answer

A histogram displays quantitative data with adjacent bars, while a bar graph displays categorical data with separated bars.

Question 18

If the class limits are 15–19, what is the midpoint?

Accepted Answer

$$\frac{15 + 19}{2} = 17$$

Question 19

Which of the following best describes a uniform distribution?

Accepted Answer

The frequency of each value is evenly spread out across the values of the variable.

Question 20

A researcher wants to display the cumulative number of patients admitted to a hospital each day over a week. Which graph should they use?

Accepted Answer

Ogive

Frequency Distributions and Graphical Representation in Statistics

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