Complete the variance and standard deviation of the following observations of marks of 5 students of a tutorial group: Marks out of 25:8,12,13,15,22

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Text solutionVerified

Solution: Here, Mean

(\overline{X}) = \frac{8 + 12 + 13 + 15 + 22}{5} = \frac{70}{5} = 14

∴ x_{i} - \overline{X} = - 6, - 2, - 1, 1, 8

\Rightarrow (x_{i} - \overline{X})^{2} = 36, 4, 1, 1, 64

∴ \sum (x_{i} - \overline{X})^{2} = 106

Now, Variance

(σ^{2}) = \frac{1}{n} \sum (x_{i} - \overline{X})^{2} = \frac{106}{5} = 21.2

Standard deviation

(σ) = 21.2 = 4.6

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Question Text	Complete the variance and standard deviation of the following observations of marks of 5 students of a tutorial group: Marks out of 25:8,12,13,15,22
Answer Type	Text solution:1
Upvotes	150