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The mean of the numbers 15, 21, 17, 26, 18, and 29 is 21. Calculate...

Mathematics
WAEC 2020

The mean of the numbers 15, 21, 17, 26, 18, and 29 is 21. Calculate the standard deviation 

  • A. 9
  • B. 6
  • C. 5
  • D. 0
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Correct Answer: Option C
Explanation

x

x - \(\overline{x}\))\(^2\) (x - \(\overline{x}\))\(^2\)

15

21

17

26

18

29

-6

0

-4

5

-3

-8

36

0

16

25

9

64

    \(\sum (x - \overline{x})^2\) = 150

 

Standard deviation = \(\sqrt{\frac{ \sum (x - \overline{x})^2}{n} }\)

= \(\frac{150}{6}\)

= \(\sqrt{25}\)

= 5


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WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709