Question

If the mean of a data set is 32 and the median is 36 , 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.

Answer 1

When the mean of a data set is less than the median, the data set is skewed to the right. Skewness refers to the symmetry in a data set. Conversely, if the mean were greater than the median, the data would be left skewed.

Step-by-step explanation:

In statistical terms, when we have a data set in which the mean is less than the median, as is the case where the mean is 32 and the median is 36, we can infer that our data set is skewed to the right. This is because 'skewness' refers to the symmetry, or lack thereof, in a data set. In a symmetric data set, the mean and median are the same. When the mean is less than the median, as in this case, the data set is right skewed. Conversely, if the mean were greater than the median, the data would be left skewed.

Learn more about Data Skewness