Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th

# The standard deviation and coefficient of variation of a data are 1.2 and 25.6 respectively. Find the value of mean. - Mathematics

Sum

The standard deviation and coefficient of variation of a data are 1.2 and 25.6 respectively. Find the value of mean.

#### Solution

Standard deviation (σ) = 1.2

Coefficient of variation = 25.6

sigma/bar(x) xx 100 = 25.6

1.2/bar(x) xx 100 = 25.6

⇒ 25.6 xx bar(x) = 1.2 × 100

bar(x) = 120/25.6

= (120 xx 10)/256

= 4.687

= 4.69

Value of mean = 4.69

Concept: Coefficient of Variation
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