Question

the letters a, b, and c are marked on the histogram. describe the shape of the data. then determine which is the mean, which is the median, and which is the mode. justify your answers.

which description below best describes the shape of the distribution?

• skewed right
• uniform
• symmetric
• skewed left

in this distribution, how is the mode determined?
a. the mode is the data entry that has the lowest frequency.
b. the mean, median, and mode are all equal.
c. the mode is the data entry that has the highest frequency.
d. the mode cannot be identified.

the mode is labeled a, c, b

Explanation:

Analyze the distribution shape

Using the Histogram Shape Analysis knowledge point
The histogram shows a tail extending to the right, with higher frequencies on the left side. This indicates a right-skewed distribution.

Determine how the mode is identified

Using the Measures of Central Tendency knowledge point
The mode is the data value that occurs most frequently, corresponding to the tallest bar in the histogram.

Identify the label for the mode

Using the Measures of Central Tendency knowledge point
The tallest bar is at 3 days, and the line pointing to this peak is labeled A. Therefore, the mode is labeled A.

Answer:

Question 1

Which description below best describes the shape of the distribution?

• Skewed right (Correct answer)
• Uniform
• Symmetric
• Skewed left

Question 2

In this distribution, how is the mode determined?

• A. The mode is the data entry that has the lowest frequency.
• B. The mean, median, and mode are all equal.
• C. The mode is the data entry that has the highest frequency. (Correct answer)
• D. The mode cannot be identified.

Question 3

The mode is labeled

• A (Correct answer)
• C
• B