JAMB Mathematics 2009 Objective — Question 45

Question 45 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2009 Objective paper, with the correct answer and a full explanation.

5, 8, 6 and k occur with frequencies 3, 2, 4 and 1 respectively and have a mean of 5.7. Find the value of k

A. 4
B. 3
C. 2Correct
D. 1

Explanation

Mean = sum(fx)/sum(f). 5.7 = [5(3)+8(2)+6(4)+k(1)]/(3+2+4+1) = (15+16+24+k)/10 = (55+k)/10. 57=55+k. k=2.

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