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AP EAMCET · Maths · Statistics

The standard deviation of the numbers 22, 26, 28, 20, 24, 30 is

  1. A 2
  2. B 2.4
  3. C 3.24
  4. D 3.42
Verified Solution

Answer & Solution

Correct Answer

(D) 3.42

Step-by-step Solution

Detailed explanation

We know thatS.D=∑xi-μ2N where, μ→Mean N→Number of terms xi→terms Now, μ=22+26+28+20+24+306 ⇒μ=1506=25 Now, xi xi-μ2 22 22-252=9 26 26-252=1 28 28-252=9 20 20-252=25 24 24-252=1 30 30-252=25 Therefore, ∑xi-μ2=70…