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2. Given the following data, calculate the mean, median, mode, midrange, standard deviation, and variance. 14.35,...

2. Given the following data, calculate the mean, median, mode, midrange, standard deviation, and variance.

14.35, 17.22, 18.90, 20.02, 34.43, 12.85, 18.49, 7.62, 19.93

(a) Mean (b) Median (c) Mode
(d) Range (e) Standard Deviation (f) Variance
Math   Statistics-And-Probability   
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Answer #1

7.62, 12.85, 14.35, 17.22, 18.49, 18.90, 19.93, 20.02, 34.43

a) Mean = (7.62 + 12.85 + 14.35 + 17.22 + 18.49 + 18.90 + 19.93 + 20.02 + 34.43)/9 = 18.201

b) Median = 18.49

c) Mode = There is no mode in the data set.

d) Range = 34.43 - 7.62 = 26.81

f) Variance = ((7.62 - 18.201)^2 + (12.85 - 18.201)^2 + (14.35 - 18.201)^2 + (17.22 - 18.201)^2 + (18.49 - 18.201)^2 + (18.90 - 18.201)^2 + (19.93 - 18.201)^2 + (20.02 - 18.201)^2 + (34.43 - 18.201)^2)/8 = 53.329

e) standard deviation = = 7.303

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