Question

The following chart gives the ages of 336 pennies drawn from current change. Which of the following statements are correct?

I. The distribution is skewed to the right.
II. The distribution is skewed to the left.
III. The mean is greater than the median.
IV. The median is greater than the mean.

Options:
A) I and IV
B) II and III
C) II and IV
D) I and III
E) I only

Answer 1

The penny age distribution with the mean greater than the median is indicative of a rightward skew in the data. Hence, the correct statements are that the distribution is skewed to the right and the mean is greater than the median.

Step-by-step explanation:

The question concerns the skewness of a distribution and the comparison between the mean and the median. When the distribution is skewed to the right, the mean is higher than the median due to the long tail to the right that pulls the mean higher. In the context of the penny ages distribution, this question specifies that the mean is slightly larger than the median, suggesting the presence of a right skew. Additionally, a right skew generally implies that the mode is less than both the median and the mean, indicating that the distribution is not symmetrical.