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Score (x) 0 1 2 3 4 5 6 Freq (f) 5 7 3 7...

Mathematics
JAMB 2019

Score (x) 0 1 2 3 4 5 6
Freq (f) 5 7 3 7 11 6 7

Find the variance

 

  • A. 3.42
  • B. 4.69
  • C. 4.85
  • D. 3.72
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Correct Answer: Option D
Explanation
x f fx (x - \(\bar{x}\)) (x - \(\bar{x}\))\(^2\) f(x - \(\bar{x}\))\(^2\)
0 5 0 -3.26 10.628 53.14
1 7 7 -2.26 5.108 35.756
2 3 6 -1.26 1.588 4.764
3 7 21 -0.26 0.068 0.476
4 11 44 0.74 0.548 6.028
5 6 30 1.74 3.028 18.168
6 7 42 2.74 7.508 52.556
  46 150     170.888

Variance = \(\frac{\sum f(x - \bar{x})}{\sum f}\)

= \(\frac{170.888}{46}\)

= 3.72

 

There is an explanation video available below.


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Explanation Video

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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
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 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
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 offline past questions - with all answers and explanations in one app - Download for free