Q: When constructing a grouped frequency table, which formula is used to calculate the class width?

Class width $$= \frac{\text{maximum value} - \text{minimum value}}{\text{number of classes}}$$

Question 1

Which of the following best describes the purpose of a frequency distribution table in statistics?

Accepted Answer

To summarize raw data by showing how often each value or range of values occurs.

Question 2

When constructing a grouped frequency table, which formula is used to calculate the class width?

Accepted Answer

Class width $$= \frac{	ext{maximum value} - 	ext{minimum value}}{	ext{number of classes}}$$

Question 3

A researcher collects the heights of 100 students and wants to create a grouped frequency table with 5 classes. The minimum height is 150 cm and the maximum is 200 cm. What is the appropriate class width?

Accepted Answer

$$\frac{200 - 150}{5} = 10$$

Question 4

Which of the following is NOT a recommended step when making a grouped frequency table?

Accepted Answer

Use the mean of the data as the starting point for the first class limit.

Question 5

Which type of graph is most commonly used to represent a frequency distribution table for raw data?

Accepted Answer

Histogram

Question 6

If you have a dataset with the following values: 2, 4, 6, 8, 10, and you want to create a frequency table with 2 classes, what is the class width?

Accepted Answer

$$\frac{10 - 2}{2} = 4$$

Question 7

Which of the following best describes a histogram?

Accepted Answer

A graph that shows the frequency of data values in continuous intervals using adjacent bars.

Question 8

Relative frequency is calculated by:

Accepted Answer

Dividing the frequency of a class by the total number of observations.

Question 9

Which of the following graphs would be most appropriate for showing how a variable changes over time?

Accepted Answer

Time-Series graph

Question 10

A Pareto chart is useful for:

Accepted Answer

Showing categories in order of decreasing frequency to highlight major factors.

Question 11

Suppose you are analyzing the number of defective products produced each day in a factory over a month. Which type of graph would best help you identify trends or patterns over time?

Accepted Answer

Time-Series graph

Question 12

Which of the following is a key difference between a histogram and a bar chart?

Accepted Answer

A histogram displays frequencies for continuous data, while a bar chart displays frequencies for categorical data.

Question 13

If the range of a dataset is 36 and you want to create 6 classes, what is the class width?

Accepted Answer

$$\frac{36}{6} = 6$$

Question 14

Which of the following is NOT a variation of frequency distribution table mentioned in the study materials?

Accepted Answer

Scatterplot frequency

Question 15

A scatterplot is best used to:

Accepted Answer

Show the relationship between two quantitative variables.

Question 16

Which step comes immediately after determining the number of classes when making a grouped frequency table?

Accepted Answer

Calculate the class width.

Question 17

In a grouped frequency table, what is the purpose of tally marks?

Accepted Answer

To preliminarily count the number of observations in each class before finalizing the frequency.

Question 18

Which of the following is a correct statement about the mechanics of making a grouped frequency table?

Accepted Answer

The number of classes should be between 5 and 20.

Question 19

Which graph would be most appropriate for visualizing the distribution of exam scores for a large class?

Accepted Answer

Histogram

Descriptive Statistics: Frequency Distribution Tables and Histograms

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