A study conducted by the USGA found the average score of amateur golfers to be 103.24 strokes with a standard deviation of 9.72 strokes. A histogram of the data shows a highly skewed-left distribution. (

a) Should we expect the mean to be less than, greater than, or approximately the same as the median? Explain.

(b) At least what percent of amateur golfers score between 85.26 strokes and 121.22 strokes?

(c) What is the smallest interval guaranteed to capture at least 62% of all scores?