passpadi

2011

Mathematics

JAMB

ClassIntervalsFrequency0−233−526−859−113 Find the mode of the above distribution.

A.

9

B.

8

C.

10

D.

7

Correct Answer: 7

Explanation

Mode = L1 + (D11+D2)C D1 = frequency of modal class - frequency of the class before it D1 = 5 - 2 = 3 D2 = frequency of modal class - frequency of the class that offers it D2 = 5 - 3 = 2 L1 = lower class boundary of the modal class L1 = 5 - 5 C is the class width = 8 - 5.5 = 3 Mode = L1 + (D1/D1+D2)C = 5.5 + 3/(2+3)C = 5.5 + 3/5 x 3 = 5.5 + 9/5 = 5.5 + 1.8 = 7.3 ≈ = 7

Mode = L1 + (D11+D2)C D1 = frequency of modal class - frequency of the class before it D1 = 5 - 2 = 3 D2 = frequency of modal class - frequency of the class that offers it D2 = 5 - 3 = 2 L1 = lower class boundary of the modal class L1 = 5 - 5 C is the class width = 8 - 5.5 = 3 Mode = L1 + (D1/D1+D2)C = 5.5 + 3/(2+3)C = 5.5 + 3/5 x 3 = 5.5 + 9/5 = 5.5 + 1.8 = 7.3 ≈ = 7
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