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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
29.87
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.
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