Question 1

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

Accepted Answer

Qualitative data describe attributes or categories, while quantitative data represent counts or measurements.

Question 2

A researcher records the eye color of 100 students. What type of data is this?

Accepted Answer

Qualitative

Question 3

Given the following frequency distribution for exam scores: 60-69: 5, 70-79: 8, 80-89: 12, 90-99: 5. What is the relative frequency for the 80-89 class?

Accepted Answer

$$ \frac{12}{30} $$

Question 4

Which of the following is NOT a valid reason for constructing a frequency distribution?

Accepted Answer

To eliminate the need for further statistical analysis

Question 5

A histogram is best used to display which type of data?

Accepted Answer

Quantitative data

Question 6

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

Accepted Answer

It has a longer tail on the right side.

Question 7

A pie chart is most appropriate for displaying:

Accepted Answer

The distribution of a categorical variable

Question 8

Which of the following is a common error when constructing a bar graph?

Accepted Answer

Starting the vertical axis at a value other than zero

Question 9

Given the following data set: 2, 4, 4, 6, 8, what is the cumulative frequency for the value 4?

Accepted Answer

3

Question 10

Which of the following best describes a bimodal distribution?

Accepted Answer

A distribution with two distinct peaks

Question 11

A relative frequency histogram differs from a frequency histogram in that:

Accepted Answer

The vertical axis shows proportions instead of counts

Question 12

Which of the following is an example of a misleading graph?

Accepted Answer

A bar graph with a truncated vertical axis

Question 13

If a data set has the following frequencies: 2, 5, 8, 3, what is the cumulative frequency for the third class?

Accepted Answer

15

Question 14

Which of the following best describes the purpose of a stem-and-leaf plot?

Accepted Answer

To display the distribution of a data set while preserving the original data values

Question 15

A distribution is described as 'uniform.' What does this mean?

Accepted Answer

All values occur with approximately the same frequency

Question 16

Which of the following is NOT a characteristic of a normal distribution?

Accepted Answer

It is skewed right

Question 17

If a frequency table has class boundaries 10-20, 20-30, 30-40, and frequencies 3, 7, 10, what is the relative frequency for the 20-30 class?

Accepted Answer

$$ \frac{7}{20} $$

Question 18

Which of the following is a correct interpretation of a cumulative frequency graph?

Accepted Answer

It shows the total number of observations less than or equal to each upper class boundary

Question 19

A student claims that a histogram with unequal class widths is always misleading. Is this statement correct?

Accepted Answer

No, as long as the area of each bar is proportional to the frequency, it is not misleading

Question 20

Which of the following best describes the difference between a bar graph and a histogram?

Accepted Answer

A bar graph displays categorical data with spaces between bars; a histogram displays quantitative data with adjacent bars.

Chapter 2: Organizing Data – Study Notes for Statistics

Study Guide - Practice Questions

Study Guide - Flashcards