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If the mean of 2, 5, (x+1), (x+2), 7 and 9 is 6. Find the...

Mathematics
JAMB 2022

If the mean of 2, 5, (x+1), (x+2), 7 and 9 is 6. Find the median 

  • A. 5.5
  • B. 5
  • C. 6.5
  • D. 6
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Correct Answer: Option C
Explanation

Firstly; solving for x

6 = \(\frac{2 + 5 + x+1 + x+2 + 7 + 9}{6}\)

cross multiply to have:

6 * 6 = 2 + 5 + x+1 + x+2 + 7 + 9

36 = 2x + 26

36 - 26 = 2x

10 = 2x

x = 5

Median = \(\frac{7+6}{2}\)

→ 6.5

There is an explanation video available below.


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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
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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995

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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
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 Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709