passpadi

2023

Mathematics

JAMB

Calculate the mean deviation of the first five prime numbers.

A.

2.72

B.

5.6

C.

 5.25

D.

13.6

Correct Answer: 2.72

Explanation

The first five prime numbers are 2, 3, 5, 7 and 11 M.D = ∑(x−x̄ )/n n = 5 x̄ =∑x/n = (2 + 3 + 5 + 7 + 11)/5 = 28/5 = 5.6 M.D = ((2 − 5.6) + (3 − 5.6) + (5 − 5.6) + (7 − 5.6)) + (11 − 5.6)/5 = ((−3.6) + (−2.6) + (−0.6) + (1.4) + (5.4))/5=13.6/5 Take the absolute value of all numbers in bracket = (3.6 + 2.6 + 0.6 + 1.4 + 5.4)/5 = 13.6/5 ∴M.D = 2.72

The first five prime numbers are 2, 3, 5, 7 and 11 M.D = ∑(x−x̄ )/n n = 5 x̄ =∑x/n = (2 + 3 + 5 + 7 + 11)/5 = 28/5 = 5.6 M.D = ((2 − 5.6) + (3 − 5.6) + (5 − 5.6) + (7 − 5.6)) + (11 − 5.6)/5 = ((−3.6) + (−2.6) + (−0.6) + (1.4) + (5.4))/5=13.6/5 Take the absolute value of all numbers in bracket = (3.6 + 2.6 + 0.6 + 1.4 + 5.4)/5 = 13.6/5 ∴M.D = 2.72
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