Question

Use the following data sets to answer the question.

Set A: {20, 22, 24, 3, 28, 26, 30} Set B: (19, 47, 24, 17, 32, 51, 34}
Which statement about the data sets is true?
The data in Set A are skewed left. because the mean is less than the median. The data in Set B are symmetrical, because the mean is equal to the median.
The data in Set A are skewed right, because the mean is greater than the median. The data in set B are symmetrical, because the mean is equal to the median.
The data in Set A are symmetrical. because the mean is equal to the median. The data in Set B are skewed right, because the mean is greater than the median.

Answer 1

The data in Set A are skewed left, because the mean is less than the median. The data in set B are symmetrical, because the mean is equal to the median.

Explanation:

For prim people, this is the answer I got it right.

Answer 2

The correct statement is: "The data in Set A are skewed left because the mean is less than the median. The data in Set B are symmetrical because the mean is equal to the median."

For Set A: Mean = (20 + 22 + 24 + 3 + 28 + 26 + 30) / 7 = 20.71

Median = 24

In this case, the mean is less than the median, which indicates a left skewness. Therefore, the statement "The data in Set A are skewed left because the mean is less than the median" is true.

For Set B: Mean = (19 + 47 + 24 + 17 + 32 + 51 + 34) / 7 = 30

Median = 32

In this case, the mean is equal to the median, which indicates symmetry. Therefore, the statement "The data in Set B are symmetrical because the mean is equal to the median" is true.