Question

question 8 - 1 point
if the median of a data set is 72 and the mean is 87, 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 symmetric.

Explanation:

In a dataset, when the mean is greater than the median, it indicates that there are relatively large values (outliers or a skew) pulling the mean up. A right - skewed (positively skewed) distribution has a mean greater than the median because the tail on the right (with larger values) affects the mean more than the median. Here, the mean (87) is greater than the median (72), so the data is skewed to the right. A left - skewed distribution has a mean less than the median, and a symmetric distribution has a mean approximately equal to the median.

Answer:

The data are skewed to the right.