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Find the mean and standered deviation of the data set {8, 9, 5, 1, 6}

User IMash
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Mean: 5.8
Standard deviation: 2.863

Mean = (8+9+5+1+6) / 5 = 29 / 5 = 5.8

To find the standard deviation, we need to first find the variance:

1. Find the mean of the data set:

mean = 5.8

2. Subtract the mean from each value, and square the result:

(8-5.8)^2 = 4.84
(9-5.8)^2 = 8.84
(5-5.8)^2 = 0.64
(1-5.8)^2 = 18.49
(6-5.8)^2 = 0.04

3. Add up the squared differences:

4.84 + 8.84 + 0.64 + 18.49 + 0.04 = 32.85

4. Divide the sum by the number of values minus 1, and take the square root:

s = sqrt(32.85/(5-1)) = sqrt(8.21) = 2.863
User Roy Paterson
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