Mathematics, 10.02.2020 17:20 miraclewhipppp

What is the standard deviation of this data set? Use a calculator to help you.
20, 23, 32, 36, 41, 43, 44, 45, 47, 54, 55, 59, 61, 63, 66

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Answer from: Lalawhite1082

Standard deviation = 14.064

Step-by-step explanation:

We are given the following data;

X X - Xbar $(X-Xbar)^{2}$

20 20 - 46 = -26 676

23 23 - 46 = - 23 529

32 32 - 46 = -14 196

36 36 - 46 = -10 100

41 41 - 46 = -5 25

43 43 - 46 = -3 9

44 44 - 46 = -2 4

45 45 - 46 = -1 1

47 47 - 46 = 1 1

54 54 - 46 = 8 64

55 55 - 46 = 9 81

59 59 - 46 = 13 169

61 61 - 46 = 15 225

63 63 - 46 = 17 289

66 66 - 46 = 20 400

$\sum(X-Xbar)^{2}$ = 2769

Firstly we will calculate Mean, Xbar = $\frac{\sum X}{n}$

$Xbar = \frac{20+ 23+ 32+ 36+ 41+ 43+ 44+ 45+ 47+ 54+ 55+ 59+ 61+ 63+ 66}{15}$ = 45.93 ≈ 46

Now, Standard deviation formula is given by;

s = $\sqrt{\frac{ \sum(X-Xbar)^{2}}{n-1}}$ = $\sqrt{\frac{ 2769}{15-1}}$ = 14.064 .

Answer from: Quest

just needed some points but try socratic

Answer from: Quest

Bc equals mb that should be your answer

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What is the standard deviation of this data set? Use a calculator to help you.
20, 23, 32, 36,...

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