Q: Which of the following is the correct formula for relative frequency?

$$ \text{Relative Frequency} = \frac{\text{Frequency for a class}}{\text{Sum of all frequencies}} $$

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 reveals the shape, center, spread, and outliers of the data.

Question 3

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

Accepted Answer

Identifying the mode of qualitative data.

Question 4

A histogram of arm circumferences is roughly bell-shaped. What does this indicate about the distribution?

Accepted Answer

The data are approximately normally distributed.

Question 5

If a histogram has a longer right tail, how is the data described?

Accepted Answer

Skewed to the right (positively skewed)

Question 6

Given a histogram with the following bin frequencies: 10, 24, 10, 3, 2, what can you infer about the distribution?

Accepted Answer

The distribution is skewed to the right.

Question 7

Which of the following statements about relative frequency histograms is TRUE?

Accepted Answer

They have the same shape and horizontal scale as a histogram, but the vertical scale is marked with relative frequencies.

Question 8

If the mean of a data set is less than the median, what can you conclude about the skewness of the distribution?

Accepted Answer

The distribution is skewed to the left.

Question 9

Which of the following is the correct formula for relative frequency?

Accepted Answer

$$ 	ext{Relative Frequency} = \frac{	ext{Frequency for a class}}{	ext{Sum of all frequencies}} $$

Question 10

A researcher collects data on emergency room visits and creates a histogram. What should the researcher look for to determine if there are outliers?

Accepted Answer

Bars that are separated from the rest of the data with much lower frequencies.

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

Suppose you are using Excel to create a histogram. 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 NOT a characteristic that can be interpreted from a histogram?

Accepted Answer

The exact value of each individual data point.

Question 14

A histogram of McDonald's lunch service times shows most data clustered at lower values with a long tail to the right. What does this suggest?

Accepted Answer

Most service times are short, but there are a few much longer service times (right-skewed distribution).

Question 15

Which of the following best describes the center of a data set as seen in a histogram?

Accepted Answer

The value or class where the highest bar is located.

Question 16

If a histogram is symmetric, what can you say about the mean and median?

Accepted Answer

The mean equals the median.

Question 17

Which of the following is a multi-step process for constructing a frequency distribution in Excel?

Accepted Answer

Enter data, select Data Analysis, choose Histogram, select input range and bin range, and generate the chart.

Question 18

Which of the following is the correct interpretation if a histogram shows two distinct peaks?

Accepted Answer

The data are bimodal.

Describing Data with Tables and Graphs: Frequency Distributions and Histograms

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