Question

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.

1.17, 0.79, 0.57, 0.78, 0.92, 0.68, 1.34, 1.44, 1.41, 0.53, 1.36

The 5-number summary is:

A. 0.57, 0.78, 1.17, 1.36, 1.44 (all in W/kg).
B. 0.53, 0.68, 0.78, 0.92, 1.44 (all in W/kg).
C. 0.57, 0.78, 1.17, 1.36, 1.41 (all in W/kg).
D. 0.53, 0.68, 0.79, 0.92, 1.44 (all in W/kg).

Answer 1

To construct a boxplot and find the 5-number summary for the given data, arrange the data in increasing order and calculate the minimum, first quartile, median, third quartile, and maximum values.

Step-by-step explanation:

To construct a boxplot, we need to find the five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum values.

The given data is: 1.17, 0.79, 0.57, 0.78, 0.92, 0.68, 1.34, 1.44, 1.41, 0.53, 1.36.

1. First, we need to arrange the data in increasing order: 0.53, 0.57, 0.68, 0.78, 0.79, 0.92, 1.17, 1.34, 1.36, 1.41, 1.44.
2. The minimum value is 0.53.
3. The first quartile (Q1) is the median of the lower half of the data, which is the median of the first 6 values. The median of 0.53, 0.57, 0.68, 0.78, 0.79, and 0.92 is 0.73.
4. The median (Q2) is the middle value of the data, which is 0.92.
5. The third quartile (Q3) is the median of the upper half of the data, which is the median of the last 6 values. The median of 1.17, 1.34, 1.36, 1.41, 1.44 is 1.36.
6. The maximum value is 1.44.

Therefore, the 5-number summary is 0.53, 0.73, 0.92, 1.36, 1.44 (all in W/kg).