Consider the following set of data: 15, 20, 21, 20, 36, 15, 25, 15.
a. What is the skewness of the data?
b. What is the kurtosis of the data?
c. What is the excess kurtosis?
xi | X-bar | (xi-x-bar)^4 | (xi-xbar)^2 | |
15 | 20.875 | 1191.328369 | 34.515625 | |
20 | 20.875 | 0.586181641 | 0.765625 | |
21 | 20.875 | 0.000244141 | 0.015625 | |
20 | 20.875 | 0.586181641 | 0.765625 | |
36 | 20.875 | 52333.71118 | 228.76563 | |
15 | 20.875 | 1191.328369 | 34.515625 | |
25 | 20.875 | 289.5314941 | 17.015625 | |
15 | 20.875 | 1191.328369 | 34.515625 | |
167 | 167 | 56198.40039 | 350.875 | Total |
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