Obtain the five-number summary for the given data.
-The weights (in pounds)of 18 randomly selected adults are given below. $\begin{array} { l l l l l l } 120 & 146 & 187 & 155 & 119 & 138 \end{array}$
$\begin{array} { l l l l l l } 127 & 140 & 179 & 164 & 182 & 202 \end{array}$
$\begin{array} { l l l l l l } 114 & 173 & 133 & 150 & 169 & 173 \end{array}$
A)$114,133,152.5,173,202$ pounds
B) $114,131.50,150,174.50,202$ pounds
C) $114,130.00,150,171.0,202$ pounds
D) $114,130.00,230.5,171.0,202$ pounds

Question

Obtain the five-number summary for the given data.
-The weights (in pounds)of 18 randomly selected adults are given below. $\begin{array} { l l l l l l } 120 & 146 & 187 & 155 & 119 & 138 \end{array}$
$\begin{array} { l l l l l l } 127 & 140 & 179 & 164 & 182 & 202 \end{array}$
$\begin{array} { l l l l l l } 114 & 173 & 133 & 150 & 169 & 173 \end{array}$  
A)$114,133,152.5,173,202$ pounds
B) $114,131.50,150,174.50,202$ pounds
C) $114,130.00,150,171.0,202$ pounds
D) $114,130.00,230.5,171.0,202$ pounds

Quizplus · Accepted Answer

The five-number summary consists of the minimum, first quartile (Q1), median, third quartile (Q3), and maximum. First, we arrange the data in ascending order: 114, 119, 120, 127, 133, 138, 140, 146, 150, 155, 164, 169, 173, 173, 179, 182, 187, 202. With 18 data points, the median (Q2) is the average of the 9th and 10th values: (150 + 155)/2 = 152.5. Q1 is the median of the first 9 numbers, which is 133, and Q3 is the median of the last 9 numbers, which is 173. The minimum is 114 and the maximum is 202. Therefore, the five-number summary is 114, 133, 152.5, 173, 202 pounds.

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Obtain the Five-Number Summary for the Given Data $\begin{array} { l l l l l l } 120 & 146 & 187 & 155 & 119 & 138 \end{array}$