Question 3 The ages of a sample of 25 stockholders were recorded as follows: \begin{tabular}{lllllllllllll} 50 & 64 & 30 & 55 & 46 & 35 & 24 & 46 & 58 & 47 & 31 & 52 & 54 \\ 37 & 66 & 47 & 59 & 51 & 61 & 57 & 49 & 28 & 48 & 32 & 38 & \end{tabular} a. Calculate the mean of the sample data. b. Identify the 5-figure summary and the presence of any outliers. Construct the box plot. c. Comment on the skewness of the distribution. d. Calculate the variance of the sample. e. Calculate the standard deviation of the sample. f. Calculate the range the data. g. Construct a range approximation to the standard deviation.
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- Add all the ages together: \(50 + 64 + 30 + 55 + 46 + 35 + 24 + 46 + 58 + 47 + 31 + 52 + 54 + 37 + 66 + 47 + 59 + 51 + 61 + 57 + 49 + 28 + 48 + 32 + 38 = 1226\). - Divide by the number of ages (25): \(\frac{1226}{25} = 49.04\). Show more…
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