Question

Listed below are the measured radiation absorption rates? (in w/kg) corresponding to 11 cell phones. Use the given data to construct a no plot and identify the 5- number summary

Answer 1

Answer:

The minimum value is 0.51

$Q_1= \frac{0.89+1.04}{2}= 0.965$

Median=Q2= 1.18

$Q_3= \frac{1.41+1.42}{2}= 1.415$

Max = 1.49

Step-by-step explanation:

We assume the following dataset:

1.18,1.41, 1.49,1.04,1.04,0.74,0.89,1.42,1.45,0.51,1.38

We order the dataset on increasing way and we have:

0.51 0.74 0.89 1.04 1.04 1.18 1.38 1.41 1.42 1.45 1.49

The minimum value is 0.51

The first quartile Q1 can be calculated with the first 6 observations: 0.51 0.74 0.89 1.04 1.04 1.18. The Q1 would be the average between the 3rd and 4th position:

$Q_1= \frac{0.89+1.04}{2}= 0.965$

For the median since the number of data represent an odd number than the median would be the position in the middle (6th)

Median=Q2= 1.18

The first quartile Q1 can be calculated with the last 6 observations: 1.18 1.38 1.41 1.42 1.45 1.49. The Q1 would be the average between the 3rd and 4th position:

$Q_3= \frac{1.41+1.42}{2}= 1.415$

And the maximum value for this case would be:

Max = 1.49

We can see the boxplot obtained on the figure attached.