Question

Question Hall Listed below are amounts of strontium-80 in mlibecquerels, or mBg) in a simple random sample of baby boothctaned from residents in a region bom ator 1979. Use the given date to construct a boxplot and identify the numbers 129 130 134 138 144 145 154 156 158 150 170 172 173 177 184 The Sumber vummary I 0.0.0,and all in my (Une mending order Type Integer or decimal. Do not found) Which oribio resents the ? ОА @ OB @ 120 100 110 100 110 oc e 100 Cleto our

Answer 1

Solution:-

The five number summary is 129, 140, 150, 166.5, 184.

Minimum: 129
Quartile Q1: 140
Median: 150
Quartile Q3: 166.5
Maximum: 184

Arrange the data set in ascending order.

129, 130, 134, 138, 139, 141, 144, 145, 147, 150, 150, 154, 156, 158, 163, 170, 172, 173, 177, 184

$\begin{aligned} Q_{1}&=\frac{ \left(n+1\right)^{th}}{4}\:term\\&=\frac{ \left(20+1\right)^{th}}{4}\:term\\&=5.25^{th}\:term\\&=140\\Q_{2}&=\frac{ \left(n+1\right)^{th}}{2}\:term\\&=\frac{ \left(20+1\right)^{th}}{2}\:term\\&=10.5^{th}\:term\\&=150\\Q_{3}&=\frac{ 3\left(n+1\right)^{th}}{4}\:term\\&=\frac{ 3\left(20+1\right)^{th}}{4}\:term\\&=15.75^{th}\:term\\&=166.5\end{aligned}$

(A)

120 130 140 150 160 170 180 190