Q: Which of the following is a correct method for calculating the relative frequency for a category in a frequency table?

$$\text{Relative Frequency} = \frac{\text{Frequency of the category}}{\text{Total number of observations}}$$

Question 1

Which of the following best describes a relative frequency distribution table?

Accepted Answer

A table that lists each value or category in a data set along with the percentage of the total it represents.

Question 2

A teacher records the test scores of 20 students and wants to present the data in a way that shows the percentage of students who received each grade category (A, B, C, D, F). Which display is most appropriate?

Accepted Answer

A relative frequency distribution table with grouped categories.

Question 3

What is the main visual difference between a bar graph and a histogram?

Accepted Answer

A bar graph has gaps between the bars, while a histogram's bars are adjacent with no gaps.

Question 4

Given the following class intervals for a frequency distribution: 50-59, 60-69, 70-79, 80-89, 90-99, what is the class width?

Accepted Answer

$$10$$

Question 5

If a data set of exam scores is grouped into the following categories: 60-69, 70-79, 80-89, and 90-99, and the frequencies are 2, 6, 8, and 4 respectively, what is the relative frequency for the 80-89 category?

Accepted Answer

$$\frac{8}{20} = 0.40 = 40\%$$

Question 6

Which of the following is NOT a key component of a grouped frequency distribution table?

Accepted Answer

Cumulative frequency polygon

Question 7

How is the class midpoint for the interval 70-79 calculated?

Accepted Answer

$$\frac{70 + 79}{2} = 74.5$$

Question 8

A stem-and-leaf display is constructed for the following data: 73, 77, 81, 84. Which of the following correctly represents the stem and leaf for these values?

Accepted Answer

Stem: 7 | Leaf: 3, 7; Stem: 8 | Leaf: 1, 4

Question 9

Which of the following best describes a Pareto chart?

Accepted Answer

A bar graph with bars arranged from tallest to shortest.

Question 10

A data set of company sales over 12 months is best displayed using which type of graph?

Accepted Answer

Time series graph

Question 11

Which of the following statements about histograms is TRUE?

Accepted Answer

Histograms display data using adjacent rectangles with no gaps between them.

Question 12

If a distribution is described as 'skewed to the right,' what does this mean?

Accepted Answer

There is a lack of data on the right side; the tail extends to the right.

Question 13

Which of the following is a correct interpretation of a stem-and-leaf display?

Accepted Answer

It allows you to reconstruct all original data values from the display.

Question 14

A frequency distribution table for test scores has the following class intervals: 50-59, 60-69, 70-79, 80-89, 90-99. If the lower class limit for the 70-79 interval is 70, what is the upper class limit for this interval?

Accepted Answer

$$79$$

Question 15

Which of the following is NOT a main data display discussed as essential in the study materials?

Accepted Answer

Pie chart

Question 16

A histogram is most appropriate for which type of data?

Accepted Answer

Quantitative data grouped into continuous intervals

Question 17

If a data set's histogram is bell-shaped and symmetric, which term best describes its distribution?

Accepted Answer

Normal distribution

Question 18

Which of the following is a correct method for calculating the relative frequency for a category in a frequency table?

Accepted Answer

$$	ext{Relative Frequency} = \frac{	ext{Frequency of the category}}{	ext{Total number of observations}}$$

Question 19

A company wants to quickly identify which product category had the highest sales in a year. Which data display would be most effective for this purpose?

Accepted Answer

Pareto chart

Question 20

Which of the following best describes a uniform distribution?

Accepted Answer

All categories or intervals have approximately the same frequency.

Chapter 2: Exploring Data with Tables and Graphs – Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards