What is the standard deviation of the data set given below? 2,6,7,10,10

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Mathematics

Flowers

14 November, 16:57

What is the standard deviation of the data set given below? 2,6,7,10,10

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Zaid Welch · Answer 1

Average = (2 + 6 + 7 + 10 + 10) / 5 = 35/5 = 7

x - mean, square.

2 - 7 = - 5, - 5² = 25

6 - 7 = - 1, - 1² = 1

7 - 7 = 0, 0² = 0

10 - 7 = 3, 3² = 9

10 - 7 = 3, 3² = 9

Sum of square = 25 + 1 + 0 + 9 + 9 = 44

Variance = 44/5 = 8.8

Standard deviation = √variance = √8.8 ≈ 2.966