Question 1

Which of the following is NOT a primary use of a histogram when exploring data?

Accepted Answer

Identifying the mean and standard deviation directly

Question 2

A histogram is best used for which type of data?

Accepted Answer

Quantitative data

Question 3

In a histogram, what does the height of each bar represent?

Accepted Answer

The frequency or relative frequency of data within each class

Question 4

If a histogram has a longer tail on the right side, how is the distribution described?

Accepted Answer

Positively skewed (skewed to the right)

Question 5

Which of the following best describes a normal distribution as seen in a histogram?

Accepted Answer

A bell-shaped, symmetric curve

Question 6

What is the main difference between a frequency histogram and a relative-frequency histogram?

Accepted Answer

A frequency histogram uses counts, while a relative-frequency histogram uses proportions

Question 7

Given the following frequency distribution for number of TVs per household: 0 TVs: 1, 1 TV: 16, 2 TVs: 14, 3 TVs: 12, 4 TVs: 2, 5 TVs: 2, 6 TVs: 3. What is the relative frequency for households with 2 TVs? (Total households = 50)

Accepted Answer

$$\frac{14}{50} = 0.28$$

Question 8

Which of the following is a sign that a histogram may contain outliers?

Accepted Answer

A bar that is isolated and much higher or lower than the others

Question 9

When constructing a histogram, what does the class width determine?

Accepted Answer

The range of values included in each bar

Question 10

Which of the following statements about skewness is correct?

Accepted Answer

A distribution skewed to the left has a longer left tail

Question 11

A normal quantile plot (QQ-plot) is used to assess normality. Which pattern indicates the data are approximately normal?

Accepted Answer

The points are reasonably close to a straight-line pattern

Question 12

Which of the following is NOT a criterion for determining that data are NOT normally distributed using a normal quantile plot?

Accepted Answer

The points are reasonably close to a straight-line pattern

Question 13

Suppose you are analyzing the number of days to maturity for a set of investments using a histogram with class width 10. If the histogram shows most data concentrated in the middle classes and few in the extremes, what can you infer about the distribution?

Accepted Answer

The distribution is approximately normal

Question 14

Which of the following best describes the horizontal axis of a histogram?

Accepted Answer

It represents classes of quantitative data values

Question 15

If a histogram is used to display the number of TV sets per household, what does each bar represent?

Accepted Answer

The number of households with a specific number of TV sets

Question 16

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

Accepted Answer

Tally the number of data values in each class

Question 17

Which acronym helps you remember what to look for when interpreting histograms?

Accepted Answer

"CVDOT" (Center, Variation, Distribution, Outliers, Time)

Question 18

A researcher creates a histogram of arm circumferences for a group of adults. The histogram is bell-shaped and symmetric. What can the researcher infer about the data?

Accepted Answer

The data are approximately normally distributed

Question 19

Which of the following would be a deceptive graph?

Accepted Answer

A histogram with unequal bar widths

Question 20

If a normal quantile plot shows points that curve systematically away from a straight line, what does this indicate?

Accepted Answer

The data are not normally distributed

Exploring Data with Tables and Graphs: Frequency Distributions, Histograms, and Data Interpretation

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