Question

the standard deviation of the data 5 ,7,9,11,13,16,17,18,19,35​

Answer 1

Answer:

8.06

Step-by-step explanation:

Mean of the given data is 15.

S.D = $\sqrt{(Sigma(X-Mean)^2)/n}$

= $\sqrt{650/10}$

=8.06

Answer 2

Given :   5 ,7,9,11,13,16,17,18,19,35​

To Find : standard deviation

Solution:

5 ,7,9,11,13,16,17,18,19,35​

Mean = (5 + 7 + 9 + 11 + 13 + 16 + 17 + 18 + 18 + 19 + 35)/10  

= 150/10

= 15

xi       xi  - Mean    (xi  - Mean)²

5 -10 100

7 -8 64

9 -6 36

11 -4 16

13 -2 4

16 1 1

17 2 4

18 3 9

19 4 16

35 20 400

               650

 

 standard deviation of population = √(∑ ( | xi - mean| )² /n)

= √(650/10)

= √65

≈ 8.062

standard deviation of Sample = √(∑ ( | xi - mean| )² /(n-1))

= √(650/(10-1))

= √(650/9)

≈  8.498

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