Q: Which formula would you use to calculate the relative frequency for a class in a histogram?

$$ \text{Relative Frequency} = \frac{\text{Class Frequency}}{\text{Total Frequency}} $$

Question 1

Which of the following best describes a histogram?

Accepted Answer

A bar graph with bars of equal width, where the horizontal axis represents quantitative data (class boundaries, midpoints, or lower class limits) and the vertical axis represents frequencies.

Question 2

What is the main purpose of using a histogram in data analysis?

Accepted Answer

To display the distribution, center, variation, outliers, and time trends of quantitative data.

Question 3

Given the data set: 150, 145, 160, 165, 350, 140, 130 pounds, which value is an outlier?

Accepted Answer

350

Question 4

Which of the following histograms best represents a normal distribution?

Accepted Answer

A histogram with a bell-shaped curve, where most data is centered and frequencies decrease symmetrically on both sides.

Question 5

If a histogram shows most data values on the left with a long tail to the right, how is the distribution described?

Accepted Answer

Skewed to the right

Question 6

A teacher gives an easy test and most students score close to 100%. What type of distribution would you expect for the histogram of scores?

Accepted Answer

Skewed to the left

Question 7

Which of the following is NOT a characteristic that can be analyzed using a histogram?

Accepted Answer

Relationship between two categorical variables

Question 8

What is the vertical axis labeled in a relative frequency histogram?

Accepted Answer

Percentages

Question 9

Which formula would you use to calculate the relative frequency for a class in a histogram?

Accepted Answer

$$ 	ext{Relative Frequency} = \frac{	ext{Class Frequency}}{	ext{Total Frequency}} $$

Question 10

A histogram of McDonald's lunch service times shows most customers are served quickly, but a few take much longer. Which distribution shape does this most likely represent?

Accepted Answer

Skewed to the right

Question 11

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

Accepted Answer

A histogram where all bars are approximately the same height.

Question 12

If a histogram has a long tail on the left side, what is the distribution called?

Accepted Answer

Skewed to the left

Question 13

Which of the following is a correct interpretation of an outlier in a data set?

Accepted Answer

A value that is far from the majority of the data set.

Question 14

Which of the following is NOT a possible horizontal scale for a histogram?

Accepted Answer

Percentages

Question 15

A histogram is constructed for the heights of 1000 adult men. The histogram is bell-shaped and symmetric. Which of the following is most likely true?

Accepted Answer

The data is normally distributed.

Question 16

Which of the following best describes the difference between a frequency histogram and a relative frequency histogram?

Accepted Answer

A frequency histogram uses frequencies on the vertical axis, while a relative frequency histogram uses percentages.

Histograms and Data Distributions in Introductory Statistics

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