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Calculate the mean deviation of the first five prime numbers.

Mathematics
JAMB 2023

Calculate the mean deviation of the first five prime numbers.

  • A. 2.72
  • B. 5.6
  • C. 5.25
  • D. 13.6
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Correct Answer: Option A
Explanation

The first five prime numbers are 2, 3, 5, 7 and 11

M.D = \(\frac {\sum (x - x̄)}{n}\)

n = 5

\(x̄ = \frac {\sum x}{n} = \frac {2 + 3 + 5 + 7 + 11}{5} = \frac {28}{5} = 5.6\)

M.D = \(\frac {(2 - 5.6) + (3 - 5.6) + (5 - 5.6) + (7 - 5.6) + (11 - 5.6)}{5}\)

= \(\frac {(-3.6) + (-2.6) + (-0.6) + (1.4) + (5.4)}{5} = \frac {13.6}{5}\)

Take the absolute value of all numbers in bracket

= \(\frac {3.6 + 2.6 + 0.6 + 1.4 + 5.4}{5} = \frac {13.6}{5}\)

\(\therefore M.D = 2.72\)

There is an explanation video available below.


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Explanation Video

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Join your school's WhatsApp group
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789