Question

what is the standard deviation of 14,14,14,14,14 ?​

Answer 1

0

Step-by-step explanation:

Here the first we find the mean

Mean = $\frac{Sum of all observation}{Total number of observation}$

Mean =$\frac{14+14+14+14+14}{5}$

          =$\frac{70}{5}$

          =14

Now,Standard Deviation $\sigma$ = $\sqrt{\frac{(14-14)^2+(14-14)^2+(14-14)^2+(14-14)^2+(14-14)^2}{5}}$

                                                                     = 0

Answer 2

Answer:

σ = 0 (standard deviation = 0)

Step-by-step explanation:

The given data is 14, 14, 14, 14, 14.

"By definition standard deviation tells the spread of the numbers from the mean or how the numbers are close to the mean of the data."

Since 14 is the only number which is repeated in the data, so the mean of the data is = 14

But the spread of other numbers which are same as the mean will be 0.

Therefore, Standard deviation of 14, 14, 14, 14, 14 would be '0'.

This can be calculated mathematically also by the formula.

$\sigma =\sqrt\frac{{\sum_{i=1}^{n}}(xi-\bar{x})^{2}}{n-1}$

Since $(x-\bar x)=0$ for each term.

Therefore, σ = 0

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