Question

0 Lied below are amounts of trou in libero me in a simple random sample of baby hained from wes in a region bom er 1979. Use the given data to construct a boxpand identify the subsummary 15 153 134 153 139 144 142 140 155 150 180 12 12 The number summary and al in me Use ascending order Type integers or decimal. Do not round) Which boxplet below represents the date? ОА OB a 110 20 vo OD a 100 120 100 160 100

Answer 1

The 5 number summary consists of the following:

The smallest number = 129

The first quartile = (n+1)/4 th observation

= 21/4 = 5.25th term = 140*0.75 + 142*0.25 = 140.5

The median or the second quartile =

(n+1)/2 th term = 10.5th term = 151*0.5 + 153*0.5

= 152

The third quartile = 3*(n+1)/4 th term = 15.75th term

= 155*0.25 + 158*0.75

= 157.25

The largest observation = 172

So, the five number summary is 129,140.5,152,157.25,172.

The correct boxplot diagram is the diagram in option A.

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