SOLUTION: Calculate the range, mean, deviation, variance, and standard deviation of the following sets of data. Show your solution. Express your answer in radicals or two decimals places.

Question 1182500: Calculate the range, mean, deviation, variance, and standard deviation of the following sets of data. Show your solution. Express your answer in radicals or two decimals places.
48 47 64 56 54 58 51 63 61 70
Found 2 solutions by ikleyn, mananth:
Answer by ikleyn(52858) (Show Source): You can put this solution on YOUR website!
.

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Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
48, 47, 64, 56, 54, 58, 51, 63, 61, 70
Sum of observations =572
Number of observations 10
Mean = 57.2
take each number, subtract the mean and square the result
48-57.2 = -9.2
47-57.2= -10.2
similarly for all of them we get
-9.2
-10.2
6.8,
-1.2,
-3.2,
0.8,
-6.2,
5.8,
3.8,
12.8
Take the square of the above differences Example -9.2 ^2 = 84.64
we get
84.64, 104.04, 46.24, 1.44, 10.24, 0.64, 38.44, 33.64, 14.44, 163.84
Add the difference ^2
we get
497.6
Variance = 497.6 / 10 ( the count)= 49.76
standard deviation =
= 7.054

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