Question

Directions:

Show your work AND explain your reasoning using complete English sentences. Explanations must directly follow the solution for each part of the problem.

1. The table below shows a frequency distributions for the heights of all Major League Baseball players from 1876-2012. (Source: www.baseball-almanac.com)

Height (inches)	Frequency
63 to 65	73
66 to 68	1056
69 to 71	5006
72 to 74	7593
75 to 77	2903
78 to 80	291
81 to 83	11

a. What is the total number of people that have played Major League Baseball between 1876 and 2012?

b. What is the percentage of Major League Baseball players 6’0” or taller? Round your answer to 2 decimal places.

Answer 1

Solution :

From given table,

(a)

The total number of people that have played Major League Baseball between 1876 and 2012 is

= 73 + 1056 + 5006 + 7593 + 2903 + 291 + 11

= 16933

(b)

The percentage of Major League Baseball players 6’0” or taller is ,

6 feet = 72 inch

P(72 or more inches) = (7593 + 2903 + 291 + 11) / 16933

= .6377

Answer = 64%