Golf courses. A startup company is planning to build a new golf course. For marketing purposes, the company would like to be able to advertise the new course as one of the more difficult courses in the state of Vermont. One measure of the difficulty of a golf course is its length: the total distance (in yards) from tee to hole for all 18 holes.

Here are the histogram and summary statistics for the lengths of all the golf courses in Vermont.

Count 45 Mean 5892.91 yd StdDev 386.59 Min 5185 Q1 5585.75 Median 5928 Q3 6131 Max 6796

a) What is the range of these lengths?

b) Between what lengths do the central 50% of these courses lie?

c) What summary statistics would you use to describe these data?

d) Write a brief description of these data (shape, center, and spread).