Grade 1210 grade maths
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
1 Answer
Harshit Singh
Dear Student
Given data: 57, 64, 43, 67, 49, 59, 44, 47, 61, 59
To find mean (μ):
Mean (μ)= ( 57+ 64+ 43+ 67+ 49+ 59+ 44+ 47+ 61+ 59)/10
= 550/10
Mean = 55
To find Variance (σ2):
Variance(σ2) = (xi– μ)2/n
=(22+92+122+122+62+42+62+42+112+82)/10
= 662/10
=66.2
Therefore, variance(σ2) = 66.2
To find standard deviation (σ):
To find the standard deviation, take the square root of variance, we get
Standard Deviation(σ) = √(σ2)
= √66.2 = 8.13
Therefore, the standard deviation is 8.13
Thanks
Given data: 57, 64, 43, 67, 49, 59, 44, 47, 61, 59
To find mean (μ):
Mean (μ)= ( 57+ 64+ 43+ 67+ 49+ 59+ 44+ 47+ 61+ 59)/10
= 550/10
Mean = 55
To find Variance (σ2):
Variance(σ2) = (xi– μ)2/n
=(22+92+122+122+62+42+62+42+112+82)/10
= 662/10
=66.2
Therefore, variance(σ2) = 66.2
To find standard deviation (σ):
To find the standard deviation, take the square root of variance, we get
Standard Deviation(σ) = √(σ2)
= √66.2 = 8.13
Therefore, the standard deviation is 8.13
Thanks
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