Questions: 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. 1.34 0.52 1.09 0.62 1.37 1.17 0.81 0.91 1.49 0.57 1.07 The 5-number summary is , , , , and , all in W/kg. (Use ascending order. Type integers or decimals. Do not round.)

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. 1.34 0.52 1.09 0.62 1.37 1.17 0.81 0.91 1.49 0.57 1.07 The 5-number summary is , , , , and , all in W/kg. (Use ascending order. Type integers or decimals. Do not round.)
Transcript text: Listed below are the measured radiation absorption rates (in $\mathrm{W} / \mathrm{kg}$) corresponding to 11 cell phones. Use the given data to construct a boxplot and identify the 5 -number summary. 1.34 0.52 1.09 0.62 1.37 1.17 0.81 0.91 1.49 0.57 1.07 The 5-number summary is $\square$ $\square$, $\square$, $\square$, and $\square$, all in W/kg. (Use ascending order. Type integers or decimals. Do not round.)
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Solution

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Solution Steps

Step 1: Sort the Data

The data points are sorted in ascending order: [0.52, 0.57, 0.62, 0.81, 0.91, 1.07, 1.09, 1.17, 1.34, 1.37, 1.49]

Step 2: Find the Minimum and Maximum

The minimum value is 0.52 and the maximum value is 1.49.

Step 3: Calculate the Median (Q2)

The median (Q2) of the data set is 1.07.

Step 4: Determine the First Quartile (Q1)

The first quartile (Q1) of the data set is 0.62.

Step 5: Determine the Third Quartile (Q3)

The third quartile (Q3) of the data set is 1.34.

Final Answer:

The 5-number summary of the data set is: Minimum = 0.52, Q1 = 0.62, Median = 1.07, Q3 = 1.34, Maximum = 1.49.

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