Question

The distribution of the scores on a standardized math exam in a school district is skewed to the right. Which of the following statements is true about this distribution?

a) The mode of the scores is less than the mean of the scores.
b) The mean of the scores is larger than the median of the scores.
c) The mode of the scores and the median of the scores are equal.
d) The mode, median, and mean of the scores are all equal.

Answer 1

In a skewed right distribution, the mode is less than the median and the mean is larger than the median.

Step-by-step explanation:

In a distribution that is skewed to the right, the mode of the scores is less than the median, which is often less than the mean. Therefore, statement (a) is true.

The mean of the scores is larger than the median in a skewed right distribution. Therefore, statement (b) is true.

The mode and the median of the scores can be different in a skewed right distribution. Therefore, statement (c) is false.

Since the mode, median, and mean of the scores can be different, statement (d) is false.