$$\text{Relative Frequency} = \frac{\text{Frequency of the class}}{\text{Total number of observations}}$$

Question 1

Which of the following best describes a relative frequency histogram?

Accepted Answer

A bar graph that displays the proportion of data points in each class interval, with the total area summing to 1.

Question 2

Given the data set: 2, 3, 5, 7, 7, 8, 10, which of the following is the correct calculation for the mean?

Accepted Answer

$$\frac{2+3+5+7+7+8+10}{7}$$

Question 3

Which graphical display is most appropriate for showing the distribution of a single quantitative variable?

Accepted Answer

Histogram

Question 4

A researcher wants to compare the distribution of test scores between two different classes. Which graphical display should they use?

Accepted Answer

Back-to-back stem-and-leaf plot

Question 5

Which of the following statements about scatterplots is TRUE?

Accepted Answer

Scatterplots are used to display the relationship between two quantitative variables.

Question 6

If a histogram is skewed to the right, which of the following is most likely TRUE about the mean and median?

Accepted Answer

The mean is greater than the median.

Question 7

Which of the following is NOT a characteristic of a good graphical display?

Accepted Answer

It distorts the data to emphasize a particular result.

Question 8

A pie chart is most appropriate for displaying:

Accepted Answer

The proportion of each category in a categorical variable.

Question 9

Which of the following best describes a cumulative frequency graph (ogive)?

Accepted Answer

A line graph that shows the cumulative total of frequencies up to each class boundary.

Question 10

Suppose you have a data set with the following values: 1, 2, 2, 3, 4, 5, 5, 5, 6. What is the mode?

Accepted Answer

5

Question 11

Which of the following is a key difference between a bar chart and a histogram?

Accepted Answer

A bar chart displays categorical data, while a histogram displays quantitative data.

Question 12

A stem-and-leaf plot is most useful for:

Accepted Answer

Displaying the shape and distribution of a small data set.

Question 13

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

Accepted Answer

$$	ext{Relative Frequency} = \frac{	ext{Frequency of the class}}{	ext{Total number of observations}}$$

Question 14

A hospital administrator wants to visualize the number of patients admitted each day for a month. Which graphical display is most appropriate?

Accepted Answer

Histogram

Question 15

Which of the following is TRUE about boxplots?

Accepted Answer

Boxplots display the median, quartiles, and possible outliers of a data set.

Question 16

If a data set has a mean of 50 and a standard deviation of 5, what is the z-score for a value of 60?

Accepted Answer

$$z = \frac{60 - 50}{5} = 2$$

Question 17

Which of the following is a potential pitfall when interpreting histograms?

Accepted Answer

Choosing inappropriate bin widths can misrepresent the data distribution.

Question 18

A scatterplot shows a strong positive linear relationship between hours studied and exam score. Which of the following is the best interpretation?

Accepted Answer

As hours studied increase, exam scores tend to increase.

Question 19

Which of the following is the best reason to use a dot plot?

Accepted Answer

To display all individual data points for a small data set.

Question 20

Which graphical display would be most appropriate to show the distribution of ages among patients in a clinic?

Accepted Answer

Histogram

Graphical Data Displays in Statistics

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