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TS EAMCET · Maths · Statistics

The variance of the following frequency distribution is

  1. A 165.3
  2. B 161.1
  3. C 282.1
  4. D 152.5
Verified Solution

Answer & Solution

Correct Answer

(B) 161.1

Step-by-step Solution

Detailed explanation

Given frequency distribution \(\because \quad N=\Sigma f_i=70\) \(\therefore\) variance \(\left(\sigma^2\right)=\frac{1}{N} \Sigma f_i x_i^2-\left[\frac{1}{N} \Sigma f_i \cdot x_i\right]^2\) \(=\frac{1}{70}(42150)-\left[\frac{1}{70}(1470)\right]^2=\frac{4215}{7}-441\)…