Saturday, March 9, 2013

Home runs by pitch count.


Derek Jeter has 255 home runs in his career.  The chart below lists the number of home runs by count of the pitch.  What proportion of his home runs were hit when he was behind, even, and ahead in the count.





Count #HR
"0/0 55
"3/2 29
"1/0 26
"1/1 24
"2/2 24
"0/1 23
"2/0 21
"2/1 16
"3/1 15
"1/2 9
"0/2 8
"3/0 4
Unk 1
Total 255


Answer:  I am using 254 as the denominator because one observation is unknown.

 Percent behind in count is 100x(23+9+8)/254 or 15.7%.

 Percent even in count is 100x(55+24+24)/254 or 40.6%

Percent ahead in count is 100x(29+26+21+16+15+4)/254 or 43.7%

Note 15.7+40.6+43.7=100.

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