The radon concentration (in pCi/liter) data obtained from 40 houses in a certain area are given below.
|
2.9
|
0.6
|
13.5
|
17.1
|
2.8
|
3.8
|
16.0
|
2.1
|
6.4
|
17.2
|
|
7.9
|
0.5
|
13.7
|
11.5
|
2.9
|
3.6
|
6.1
|
8.8
|
2.2
|
9.4
|
|
15.9
|
8.8
|
9.8
|
11.5
|
12.3
|
3.7
|
8.9
|
13.0
|
7.9
|
11.7
|
|
6.2
|
6.9
|
12.8
|
13.7
|
2.7
|
3.5
|
8.3
|
15.9
|
5.1
|
6.0
|
(a) Find the mean, variance, and range for these data.
(b) Find lower and upper quartiles, median, and interquartile range. Check for any outliers.
(c) Construct a box plot.
(d) Construct a histogram and interpret.
(e) Locate on your histogram x ± s, x ± 2s, and x ± 3s. Count the data points in each of the intervals x, x± s, x ± 2s, and x ± 3s. How do these counts compare with the empirical rule?