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TS EAMCET · Maths · Statistics

If the mean of the discrete distribution 8,9 , \(6,5, x, 4,6,5\) is 6 , then its standard deviation (nearest to two decimal places) is

  1. A 2.5
  2. B 1.58
  3. C 0.51
  4. D 0.41
Verified Solution

Answer & Solution

Correct Answer

(B) 1.58

Step-by-step Solution

Detailed explanation

We have, \(\begin{aligned} & \text { Mean }=6 \\ & \therefore \quad \frac{8+9+6+5+x+4+6+5}{8}=6 \\ & \Rightarrow 43+x=48 \Rightarrow x=5 \end{aligned}\) So, data are \(8,9,6,5,5,4,6,5\)…