QUESTION 24 po Use the lolowing informalion to awer Questions 24-26. During the

Question

QUESTION 24 po Use the lolowing informalion to awer Questions 24-26. During the early part of the 1994 baseball seeson, many sports fans and baseball players noticed that the number of home runs seemed to ba unusually large. Below are the team-by-team statistics on home runs ht from opening day through June They are given as separate stempots for number of home runs by American and National League teams. National Leasue 2 9 4039 51478S 6 488 7 57 4 2678S 53555 6 3 37 The median for the number of home runs hit tor the Nationel League teams is 505 48 575 QUESTION 25 2 po During the early part of the 1994 baseball sesson, many sports fans and baseball players noticed that the number of home runs seemed to be unusualy large. Below are the team-by-team statistics on home runs ht from opening day through June They are glven as separate semplots for the number of home runs by American and National Leueteams National Leasue 2 9 4 039 5147 88 6 488 7 57 426788 53555 6 3 37 vhich of the tollowing is a corect statement? Tha American L aaguR and National Leagun plots are rnasanably symmetric Tha number of home runs by the National League ranges from 29-70 The median number of home runs hit by American League teams was lower than by National League teams The median number of home runs hit by the American League is 575

Explanation / Answer

a)

Home runs hits for the National league team is

29,31,42,46,47,48,48,53,55,55,55,63,63,67

First Data arrange in Ascending order..

Median = size of [(n+1)/2]th item

Median = size of [(14+1)/2]th item

Median = size of 7.5th item

Median = size of 7th item + 0.5 (size of 8th item - size of 7th item)

Median = 48 + 0.5(53 - 48)

Median = 48 + 2.5

Median = 50.5

ANSWER: A. 50.5

b)

Home runs hits for the American league team is

35,40,43,49,51,54,57,58,58,64,68,68,75,77

First Data arrange in Ascending order..

Median = size of [(n+1)/2]th item

Median = size of [(14+1)/2]th item

Median = size of 7.5th item

Median = size of 7th item + 0.5 (size of 8th item - size of 7th item)

Median = 57 + 0.5(58 - 57)

Median = 57.5

Median = 57.5

ANSWER: D. The median number of home runs hit by the American League is 57.5

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