Question

below is the distribution of credit card debt for a sample of 100 fictitious college students. one of these numbers is the mean and the other is the median: $3,525 vs. $2584. which is which? ○ $3,525 is the mean. ○ $3,525 is the median. ○ it is impossible to tell from the histogram.

Explanation:

Step1: Analyze the Histogram Shape

The histogram of credit card debt is right - skewed (tail on the right with higher debt values). In a right - skewed distribution, the mean is pulled in the direction of the skew (towards the higher values) and the median is less affected by extreme values. So the mean should be greater than the median.

Step2: Compare the Two Values

We have two values: $3,525 and $2,584. Since $3,525 > $2,584, and in a right - skewed distribution mean > median, $3,525 should be the mean.

Answer:

$3,525 is the mean.