Question 1

Which of the following best describes a histogram?

Accepted Answer

A graph consisting of bars of equal width drawn adjacent to each other, where the horizontal scale represents classes of quantitative data values and the vertical scale represents frequencies.

Question 2

What is the primary advantage of using a histogram over a frequency distribution table?

Accepted Answer

A histogram is easier to interpret visually and can reveal the shape, center, spread, and outliers of the data.

Question 3

A relative frequency histogram differs from a standard histogram in which way?

Accepted Answer

The vertical axis of a relative frequency histogram shows relative frequencies instead of actual frequencies.

Question 4

Which of the following is NOT a use of a histogram?

Accepted Answer

Calculating the exact mean of the data.

Question 5

If a histogram is bell-shaped and symmetric, what can you infer about the distribution?

Accepted Answer

The data are normally distributed.

Question 6

A histogram of arm circumferences in a population is roughly symmetric and bell-shaped. Which of the following is most likely true?

Accepted Answer

The mean and median are approximately equal.

Question 7

Which of the following histograms best represents a distribution that is skewed to the right?

Accepted Answer

A histogram with a longer tail on the right side.

Question 8

Suppose the mean of a data set is less than the median. What does this indicate about the shape of the distribution?

Accepted Answer

The distribution is skewed to the left.

Question 9

Which of the following is a critical step when interpreting a histogram for a real-world scenario, such as emergency room visits?

Accepted Answer

Analyzing the histogram for center, variation, distribution shape, outliers, and time (CVDOT).

Question 10

A histogram of McDonald's lunch service times shows a longer tail on the right. What does this suggest about the service times?

Accepted Answer

Most service times are short, but there are a few much longer service times.

Question 11

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

Accepted Answer

All bars are approximately the same height.

Question 12

When constructing a histogram in Excel, what is the purpose of selecting 'bins'?

Accepted Answer

To define the intervals for grouping the data values.

Question 13

Which of the following is a plausible reason for a gap between bars in a histogram?

Accepted Answer

There are no data values in the interval represented by the gap.

Question 14

If a histogram shows a single peak and is symmetric, which of the following is most likely true about the data?

Accepted Answer

The data are normally distributed.

Question 15

Which of the following is NOT a characteristic that can be identified from a histogram?

Accepted Answer

The exact value of each data point.

Question 16

A researcher wants to compare the spread of two different data sets. Which feature of the histogram should they focus on?

Accepted Answer

The width of the distribution (how far the bars extend along the horizontal axis).

Question 17

Which of the following best describes the process of constructing a frequency distribution in Excel?

Accepted Answer

Input the data, select the data and bins, use the Data Analysis Toolpak to create the frequency distribution, and then insert a histogram chart.

Question 18

Which of the following scenarios would most likely result in a histogram that is skewed to the left?

Accepted Answer

Test scores where most students scored high but a few scored much lower.

Question 19

If a histogram of emergency room wait times shows two distinct peaks, what is the best description of the distribution?

Accepted Answer

Bimodal distribution.

Histograms and Frequency Distributions in Introductory Statistics

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