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

$$\text{Relative Frequency} = \frac{\text{Frequency of Class}}{\text{Total Frequency}}$$

Question 1

Which of the following best describes the primary purpose of using graphs in statistics?

Accepted Answer

To organize, communicate, and reveal patterns in the data

Question 2

What is the definition of 'frequency' in the context of a frequency distribution?

Accepted Answer

The number of values that fall into a particular class

Question 3

Given a data set with a minimum value of 26 and a maximum value of 442, and you want to create 6 classes, what is the class width using the formula $$cw = \frac{	ext{max} - 	ext{min}}{	ext{number of classes}}$$?

Accepted Answer

$$cw = \frac{442 - 26}{6} = 69.33$$, so round up to 70

Question 4

Which of the following statements about histograms is TRUE?

Accepted Answer

Histograms are used for quantitative data and have bars of equal width drawn adjacent to each other

Question 5

A frequency distribution table does NOT maintain the original data values. What is a potential consequence of this?

Accepted Answer

You cannot identify the exact values of outliers

Question 6

If a histogram has a long tail on the left side, how is the distribution described?

Accepted Answer

Skewed left (negatively skewed)

Question 7

Which graph type is best for displaying cumulative frequencies?

Accepted Answer

Ogive

Question 8

A stemplot is constructed for the following data: 11, 14, 17, 21, 25, 29, 30, 37, 37, 58. What is the stem for the value 37?

Accepted Answer

3

Question 9

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

Accepted Answer

$$	ext{Relative Frequency} = \frac{	ext{Frequency of Class}}{	ext{Total Frequency}}$$

Question 10

A company tracks magazine sales over five days and plots the results on a line graph. What type of graph is this?

Accepted Answer

Time series graph

Question 11

Which of the following graphs is appropriate for both quantitative and categorical (qualitative) data?

Accepted Answer

Dot plot

Question 12

In a frequency distribution, what is the difference between the lower class limit and the upper class limit?

Accepted Answer

The lower class limit is the smallest value that can belong to a class, and the upper class limit is the largest value that can belong to a class.

Question 13

A bar graph and a histogram look similar but are used for different types of data. Which statement is correct?

Accepted Answer

Bar graphs have gaps between bars, histograms do not.

Question 14

A frequency polygon is constructed by connecting points above the class midpoints. What does the vertical axis represent?

Accepted Answer

Frequencies or relative frequencies

Question 15

If you are given a frequency distribution with the following classes: 60-69, 70-79, 80-89, what is the class width?

Accepted Answer

$$70 - 60 = 10$$

Question 16

Which of the following is NOT a requirement when constructing a frequency distribution?

Accepted Answer

Include the original data values in the table

Question 17

A Pareto chart is a type of bar graph. What distinguishes it from a regular bar graph?

Accepted Answer

Bars are arranged in descending order of frequency

Question 18

Which graph would be most appropriate to show the relationship between temperature and number of ice cream cones sold?

Accepted Answer

Scatter plot

Question 19

If a frequency distribution table for wild bear weights has 6 classes and the minimum weight is 26 lbs, what should be the lower class limit of the first class?

Accepted Answer

26

Question 20

Which of the following is a correct step when constructing a frequency distribution?

Accepted Answer

Choose the minimum data value as the first lower class limit

Summarizing and Graphing Data (Introductory Statistics, Ch. 2)

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