Question

Question 24
For a data of 6 observations 5,5,5,5,5,5, the value of SD =?
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Answer 1

Given :- For a data of 6 observations 5,5,5,5,5,5, the value of SD = ?

Answer :-

Mean of data = (5 + 5 + 5 + 5 + 5 + 5)/6 = 30/6 = 5 .

so,

→ sum of (difference between mean)² = (5 - 5)² _________ (5 - 5)² = 0

then,

→ variance = sum of (difference between mean)² / 5

→ variance = 0/5 = 0 .

therefore,

→ SD = √(variance) = 0 (Ans.)

Note :- when data is identical, variance and SD are equal to zero .

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