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The following boxplot shows the 2012 season runs batted in

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The following boxplot shows the 2012 season runs batted in [#permalink] New post 15 Oct 2017, 22:48
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Question Stats:

100% (02:50) correct 0% (00:00) wrong based on 3 sessions
The following boxplot shows the 2012 season runs batted in (RBIs) of 280 American League batters (the top 280 batters in terms of number of plate appearances).
Image

1) What is the size of the IQR of this distribution?

A. 25
B. 47
C. 56
D. 83
E. 140

[Reveal] Spoiler: OA
B



2) How many AL hitters hit more than 25 RBIs in 2012?

A. 9
B. 56
C. 83
D. 114
E. 140

[Reveal] Spoiler: OA
E


3) B. J. Upton of the Tampa Bay Rays hit 78 RBIs in 2012; this is the 90th percentile value on this chart. How many players hit between 56 and 78 RBIs?

A. 14
B. 22
C. 28
D. 34
E. 42

[Reveal] Spoiler: OA
E



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[Reveal] Spoiler:
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Re: The following boxplot shows the 2012 season runs batted in [#permalink] New post 15 Oct 2017, 23:52
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Q1: the interquartile range is compute by subtracting the first quartile from the third one. In the boxplot, the first and the third quartiles are represented by the edge of the box. Thus, in this case it is 56-9 = 47 (B)

Q2: Since 25 RBI is the median of the sample, given that it corresponds to the line within the box, there are 50% of the total players above 25 RBIs; 0.5*280 = 140 (E)

Q3: 78 RBIs is the 90th percentile; 56 RBIs is the third quartile or the 75th percentile. Thus, between those two numbers there are 15% of the total players; 0.15*280 = 42 (E)
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The following boxplot shows the 2012 season runs batted in

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