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Find the mean and variance for the data 6, 7, 10 , 12, 13, 4,

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Find the mean and variance for the data $6, 7, 10, 12, 13, 4, 8, 12$

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Find the mean and variance for the data

6, 7, 10, 12, 13, 4, 8, 12

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Text solutionVerified

Given date is,

6, 7, 10, 12, 13, 4, 8, 12

Mean

\overset{x}{ˉ} = \frac{\sum _{i = 1}^{8} x _{i}}{n} = \frac{6 + 7 + 10 + 12 + 13 + 4 + 8 + 12}{8} = \frac{72}{8} = 9

Now,

∴

Variance

(σ^{2}) = \frac{1}{n} i = l \sum 8 (x_{i} - \overset{x}{ˉ})^{2} = \frac{1}{8} \times 74 = 9.25

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Question Text	Find the mean and variance for the data $6, 7, 10, 12, 13, 4, 8, 12$
Answer Type	Text solution:1
Upvotes	150