Question

a histogram shows data that is skewed to the right. which most likely describes the relationship between the mean and the median?
the mean is greater than the median. the rightmost values in the data set raise the mean more than the median.
the median is greater than the mean. the rightmost values in the data set raise the median more than the mean.
the mean is greater than the median. the leftmost values in the data set lower the median more than the mean.
the median is greater than the mean. the leftmost values in the data set lower the mean more than the median.

Explanation:

Step1: Recall Skewness Effect

In right - skewed data, extreme values (rightmost) pull the mean. The median is less affected by outliers.

Step2: Analyze Mean - Median Relationship

For right - skewed data, the mean is greater than the median because the right - tail (large values) increases the mean more than the median (since median is about the middle value, not as sensitive to extreme right values). Now check the options:

• Option 1: "The mean is greater than the median. The rightmost values in the data set raise the mean more than the median." This matches the concept of right - skewed data.
• Option 2: Median greater than mean is wrong for right - skewed.
• Option 3: Leftmost values affecting is wrong, right - skewed is about right - tail.
• Option 4: Median greater than mean and leftmost values affecting is wrong.

Answer:

The mean is greater than the median. The rightmost values in the data set raise the mean more than the median.