Listed below are the measured radiation absorption rates (in W/kg) corresponding to 11 cell phones . Use the given data to construct a boxplot and identify the 5-number summary 1.25 1.41 0.99 1.33 0.67 1.49 0.98 0.63 1.42 0.58 1.23

Listed below are the measured radiation absorption rates in Wkg corresponding to 11 cell phones Use the given data to construct a boxplot and identify the 5numb class=

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Answer

The 5-number summary is 0.58, 0.67, 1.23, 1.41 and 1.49, all in W/kg

Explanation

Firstly, we arrange the given data in ascending order as follows

0.58 0.63 0.67 0.98 0.99 1.23 1.25 1.33 1.41 1.42 1.49

The five-number summary is the minimum, first quartile, median, third quartile, and maximum.

Note: The number of observations, N = 11

The minimum = 0.58

The first quartile, Q₁ = 1/4(N+1) = 1/4 (11+1) = 1/4 (12) = 3, Therefore, the first quartile is the 3rd number = 0.67

The median = 1/2(N+1) = 1/2 (11 +1) = 1/2 (12) = 6. Hence the median is the 6th number = 1.23

The third quartile, Q₃ = 3/4 (N + 1) = 3/4 (11 + 1) = 3/4 (12) = 9. Therefore, the third quartile is the 9th number = 1.41

Lastly, the maximum = 1.49