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If the standard deviation of 0, 1, 2, 3 ______ 9 is K, then the standard deviation of 10, 11, 12, 13 _____ 19 will be:

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RRC Group D Previous Paper 10 (Held On: 28 Sep 2018 Shift 1)
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  1. K + 1
  2. K
  3. K + 4
  4. K + 8

Answer (Detailed Solution Below)

Option 2 : K
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Detailed Solution

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Formula Used∶

  • σ2 = ∑(xi – x)2/n
  • Standard deviation is same when each element is increased by the same constant

Calculation:

Since each data increases by 10,

There will be no change in standard deviation because (xi – x) remains same.

∴ The standard deviation of 10, 11, 12, 13 _____ 19 will be will be K.

Alternate Method 

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