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Mean and Standard Distribution

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1. Calculate the mean, median, and mode for the data set below. Is the distribution normal or skewed? Which measure of central tendency is most appropriate for this distribution? Why?
64 80 64 70
76 79 67 72
65 73 68 65
67 65 70 62
67 68 65 64

2. Calculate the range and standard deviation for the following five distributions:
a. 1, 2, 3, 4, 5, 6, 7, 8, 9
b. -4, -3, -2, -1, 0, 1, 2, 3, 4
c. 10, 20, 30, 40, 50, 60, 70, 80, 90
d. 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9
e. 100, 200, 300, 400, 500, 600, 700, 800, 900

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Solution Summary

The solution provides detailed explanation how to find the mean, standard deviation and best measure for central tendency.

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Hi there,

1. First, we arrange them in order from the smallest to the largest:
62
64
64
64
65
65
65
65
67
67
67
68
68
70
70
72
73
76
79
80
Mean=(62+64+64+...+80)/20=68.55
Median=(67+67)/2=67
Mode=65 (appear 4 times, the most frequent one)
Since ...

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