The following are the closing prices of some securities that a mutual fund holds on a certain day:
|
10.25
|
5.31
|
11.25
|
13.13
|
18.00
|
32.56
|
37.06
|
39.00
|
|
43.25
|
45.00
|
40.06
|
28.56
|
22.75
|
51.50
|
47.00
|
53.50
|
|
32.00
|
25.44
|
22.50
|
30.00
|
24.75
|
53.37
|
51.38
|
26.00
|
|
53.50
|
29.87
|
32.00
|
28.87
|
42.19
|
37.50
|
30.44
|
41.37
|
(a) Find the mean, variance, and range for these data and interpret.
(b) Find lower and upper quartiles, median, and interquartile range. Check for any outliers.
(c) Construct a box plot and interpret.
(d) Construct a histogram.
(e) Locate on your histogram x, x ± s, x ± 2s, and x ± 3s. Count the data points in each of the intervals x± s, x ± 2s, and x ± 3s and compare this with the empirical rule.