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. 1.26 0.98 1.07 0.97 1.28 0.89 1.14 0.58 1.42 0.59 0.96

The 5-number summary is :

{ 0.58, 0.89, 0.98, 1.26, 1.42 }

Step-by-step explanation:

We are given the data set { 1.26, 0.98, 1.07, 0.97, 1.28, 0.89, 1.14, 0.58, 1.42, 0.59, 0.96 }, consisting of 11 elements, each the radiation of 11 cell phones.

To construct the " 5 - number summary " the first thing we want to do is arrange the numbers from least to greatest, to find the median of the data set,

{ 0.58, 0.59, 0.89, 0.96, 0.97, 0.98, 1.07, 1.14, 1.26, 1.28, 1.42 }

The median of this data set is thus 0.98 W / kg. Mind you the units are not required here!

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Now that we have the median, we can determine the first and third quartile, which are simply medians of the data set to the left and right of the median,

{ 0.58, 0.59, 0.89, 0.96, 0.97, 0.98, 1.07, 1.14, 1.26, 1.28, 1.42 }

= 0.89, = 1.26

And of course the minimum and maximum of the data set are given to be 0.58, and 1.42

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We have our 5 - number summary now! This includes the minimum, first quartile, median / second quartile, third quartile, and maximum values, in that order -

The 5 - number summary is { 0.58, 0.89, 0.98, 1.26, 1.42 }

And, your box and whisker plot is shown in the attachment below!