Question

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Explanation:

Identify the distribution shape

Using the Histogram Shape Analysis knowledge point

• The histogram has a tail that extends further to the right side (higher values).
• This indicates that the distribution is skewed right.

Determine the mode

Using the Measures of Central Tendency Interpretation knowledge point

• The mode is the data value with the highest frequency, corresponding to the tallest bar.
• On the histogram, the tallest bar is at \(x = 3\), and the line pointing to this peak is labeled \(A\).
• Therefore, the mode is determined by finding the data entry with the highest frequency, and it is labeled \(A\).

Determine the mean and median

Using the Measures of Central Tendency Interpretation knowledge point

• For a right-skewed distribution, the mean is typically pulled toward the right tail by extreme values, making it the largest of the three measures.
• The median lies between the mode and the mean.
• Thus, the order from left to right is Mode < Median < Mean.
• Looking at the labels from left to right: \(A\) is at the peak (mode), \(B\) is in the middle (median), and \(C\) is furthest to the right (mean).
• Therefore, the mean is to the right of the median and mode, and it is labeled \(C\).

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 <blank>A</blank>.

Question 4

In this distribution, how is the mean determined?

• A. The mean is to the right of the median and mode (Correct answer)
• B. The mean is to the left of the median and mode
• C. The mean cannot be identified
• D. The mean, median, and mode are all equal

Question 5

The mean is labeled <blank>C</blank>.