Question

Calcalute the standard deviations of below data
16,24,18,17,12,17,25,15,19,20,27,24

Answer 1

total 12 answer in this data

Answer 2

Answer:

SD = 4.38

Step-by-step explanation:

x         x-mean      (x-mean)²

12        -7.5             56.25

15        -4.5             20.25

16        -3.5             12.25

17        -2.5              6.25

17        -2.5              6.25

18        -1.5               2.25

19         -0.5             0.25

20         0.5             0.25

24         4.5             20.25

24          4.5            20.25

25          5.5            30.25

27           7.5            56.25

n = 12

sample mean of a given data = sum of all observations/ total number of observations

mean = $\frac{16+24+18+17+12+17+25+15+19+20+27+24}{12}$

          = $\frac{234}{12}$

           = 19.5

∑(x-mean)² = 231

standard deviation = $\sqrt{} \frac{{(x-mean)^{2} } }{n}$

SD = $\sqrt\frac{231}{12}$ = √ 19.25

SD = 4.38