Question

Calculate standard deviation and coefficient of variation from the fallowing data: age under (in your) 10 20 30 40 50 60 70 80 number of persons dying 15 30 53 75 100 110 115 125 here total number of person dying is 125.

Answer 1

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Answer 2

Answer:

Standard Deviation = 19.76

Coefficient of Variation = 56

Step-by-step explanation:

• mean = ∑fx/∑f

mean = $\frac{4395}{125}$ = 35.16

• variance = ∑ [fx²/n - mean²]

where n is the total number of observations

f is the frequency of the corresponding class

here, mean = 35.16

mean² = 35.16² = 1236.2

fx² = 203325

variance = $\frac{203325}{125}$ - 1236.22

variance = 1626.6 - 1236.22 = 390.4

• standard deviation = √variance = √390.4

Standard Deviation = 19.76

• coefficient of variation = $\frac{SD}{Mean}$ × 100

Coefficient of Variation = $\frac{19.76}{35.16}$×100 = 56

refer to the image attached