Math  /  Data & Statistics

QuestionQUESTION 15 - 1 POINT If the median of a data set is 16 and the mean is 10 , which of the following is most likely?
Select the correct answer below: The data are skewed to the left. The data are skewed to the right. The data are symmetrical.

Studdy Solution

STEP 1

1. The median of the data set is given as 16.
2. The mean of the data set is given as 10.
3. We need to determine the skewness of the data set based on the relationship between the mean and the median.

STEP 2

1. Understand the relationship between mean, median, and skewness.
2. Determine the skewness of the data set.

STEP 3

Recall that in a data set: - If the mean is less than the median, the data are typically skewed to the left (negatively skewed). - If the mean is greater than the median, the data are typically skewed to the right (positively skewed). - If the mean is equal to the median, the data are typically symmetrical.

STEP 4

Given that the mean (10) is less than the median (16), the data are most likely skewed to the left.
The correct answer is:
The data are skewed to the left.

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