Question

Calculate standard deviation of the following data: 5,8,7,11,14
Ans: 3.1

Answer 1

Answer:3.16

Explanation:

SOLUTION FOR THE GIVEN QUESTION IS 3.16 APPROX 3.1

Answer 2

GIVEN,

5,8,7,11,14

TO FIND,

standard deviation.

SOLUTION,

we are given data of 5, 8, 7, 11, 14.

we know that,

mean of the numbers = $\frac{sum of numbers}{no of numbers}$

substituting the values,

                                    = $\frac{5+7+8+11+14}{5}$

                        MEAN = $\frac{45}{5}$

                                X = 9

Standard Deviation= Σ $\sqrt{(\frac{x- X)^{2} } {n-1} }$

⇒  Σ(x-X)² = 50,

⇒  n-1= 5-1= 4

substituting the values,

=√ $\frac{50}{4}$

solving further,

= √12.5

hence,

S.D.= 3.53

HENCE STANDARD DEVIATION OF THE GIVEN SAMPLE IS 3.53.