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Find the variance and the standard deviation for the following data: 57, 64, 43, 67, 49, 59, 44, 47, 61, 59
Find the variance and the standard deviation for the following data: 57, 64, 43, 67, 49, 59, 44, 47, 61, 59

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3 months ago Anand Kumar Pandey
3071 Points
```							Dear StudentGiven data: 57, 64, 43, 67, 49, 59, 44, 47, 61, 59To find mean (μ):Mean (μ)= ( 57+ 64+ 43+ 67+ 49+ 59+ 44+ 47+ 61+ 59)/10= 550/10Mean = 55To find Variance (σ2):Variance(σ2) = (xi– μ)2/n=(22+92+122+122+62+42+62+42+112+82)/10= 662/10=66.2Therefore, variance(σ2) = 66.2To find standard deviation (σ):To find the standard deviation, take the square root of variance, we getStandard Deviation(σ) = √(σ2)= √66.2 = 8.13Therefore, the standard deviation is 8.13Thanks
```
3 months ago
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