Question

Mean and median height: The National Center for Health Statistics reported in a recent year that the mean height for U.S. women aged 20-29 was 64.3 inches and the median was 64.2 inches. If a histogram were constructed for the heights of all U.S. women aged 20−29, would you expect it to be skewed to the right, skewed to the left, or approximately symmetric? Explain.

Answer 1

The histogram of the heights of U.S. women aged 20-29 is expected to be approximately symmetric.

Step-by-step explanation:

A histogram is a graphical representation that shows the distribution of a data set. In this case, we have the heights of U.S. women aged 20-29. The mean height is 64.3 inches, which represents the average height. The median height is 64.2 inches, which represents the middle value when the heights are arranged in ascending order.

If the mean and median are close together, it suggests that the data is approximately symmetric. In this case, since the mean and median are very close, we would expect the histogram of the heights of U.S. women aged 20-29 to be approximately symmetric.