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What is the mean deviation of x, 2x, x+1 and 3x. If their mean is...

Mathematics
JAMB 2009

What is the mean deviation of x, 2x, x+1 and 3x. If their mean is 2?

  • A. 0.5
  • B. 1.0
  • C. 1.5
  • D. 2.0
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Correct Answer: Option A
Explanation
x ∴x x-X /x-X/
x 1 -1 1
2x 2 0 0
x+1 2 0 0
3x 3 1 1
      ∑/x-X/=2

 

Mean = x+2x+x+1+3x
____4

 

 

2 = 7x+1
_4


8 = 7x+1
7x = 8-1
7x = 7
x = 1

 

 

Mean deviation = ∑/x-X/
__n

 

 

= 2
4

 

 

= 1
2


= 0.5

 

There is an explanation video available below.

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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Explanation Video

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