Question

use the graph to answer questions 13 and 14

1. in the distribution above, the median is

a approximately 25
b equal to the mean.
c larger than the mean
d. smaller than the mean

Explanation:

Step1: Recall the property of median and mean in skewed distribution

In a positively - skewed distribution, the tail is on the right side. The median is less affected by extreme values. The mean is pulled towards the tail (extreme values).

Step2: Analyze the given histogram

Looking at the histogram, the tail is on the right side (scores from 40 - 45 have a relatively high frequency compared to the left - most bars). So, this is a positively - skewed distribution.

In a positively - skewed distribution, the relationship between mean and median is \(Median

Answer:

D. smaller than the mean