The following are the closing prices of some securities that a mutual fund holds on a certain day:

(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 x̅, ± s, x̅ ± 2s, and x̅ ± 3s Count the data points in each of the intervals x̅ ± s, x̅ ± 2s, and x̅ ± 3s and compare this with the empirical rule.

Transcribed Image Text:

32.56 37.06 10.25 43.25 5.31 11.25 13.13 18.00 22.75 39.00 40.06 22.50 32.00 51.50 53.37 47.00 45.00 28.56 53.50 26.00 41.37 32.00 25.44 29.87 30.00 28.87 24.75 42.19 51.38 30.44 53.50 37.50