Question

In Exercise 26, find the range, mean, variance, and standard deviation of the population data set....

In Exercise 26, find the range, mean, variance, and standard deviation of
the population data set.

26. The ages of the Supreme Court justices as of December 22, 2016 (Source:
Supreme Court of the United States)
61 80 68 83 78 66 62 56

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Answer #1

given population data

x: 61, 80, 68, 83, 78, 66, 62, 56 N = 8

Range = highest observation - lowest observation

mean = sum of the observations / total number of observations

variance = sum of squared deviations from the mean / total number of observations

standard deviation = square root of variance

calculations given below.26) Neっ C8o G8 83 18 GG 62, 56 obses vedleっ 83-56 CEO) Nurober of observatious GI+ so + 6 83+T GG+ 62+SC 554 8 69-25(5) Variance. Σ(xi 2 8.25 8.0625 I0.15 I5-5625 689.5 8125 1.5625 13.75 |1890625| 86,1875 σ 18 15 hes G G 3.25o-505 62 7.25 525.25 56 13.25 175.S2s apda viati on こ Variance こ, 86 . I 875 9. 2837

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