[EX02-116] Major league baseball stadiums vary in age, style, number of seats, and many other ways, but to the baseball players, the size of the field is of the utmost importance. Suppose we agree to measure the size of the field by using the distance from home plate to the centerfield fence.

Following is the distance (in feet) to the centerfield fence in the 30 major league stadiums.

422 405 400 400 400 402 404 435 399 410 400 400 400 400 408 401 395 410 410 401 420 408 405 410 402 415 400 404 405 400 Source: http://mlb.mlb.com

a. Construct a histogram.

b. The interquartile range is described by the bounds of the middle 50% of the data, Q1 and Q3. Find the interquartile range.

c. Are there any fields that appear to be considerably smaller or larger than the others?

d. Is there a great deal of difference in the size of these 30 fields as measured by the distance to centerfield? Justify your answer with statistical evidence.