Question

the standard deviation of the set {10,10,10,10,10} is​

Answer 1

0 in a set numbers are not repeated . s=0

Answer 2

Standard deviation of given set of observations is 0.

• Given data

         10, 10, 10, 10, 10

• Mean of data = (sum of observations)/(number of observations)

                               = $\frac{10+10+10+10+10}{5}$

                               = $\frac{50}{5}$

                               = 10

• Standard deviation is measure of dispersion of set of data from its mean.

                  $x_{i}$                  $x_{i} - mean$(10)

                 10                  10 - 10 = 0

                 10                  10 - 10 = 0

                 10                  10 - 10 = 0

                 10                  10 - 10 = 0

                 10                  10 - 10 = 0

• Since all $x_{i} - mean$ are zeroes, standard deviation of the given set of data is zero.