Class Intervals 0 − 2 3 − 5 6 − 8 9 − 11 Frequency 3 2 5 3 Find the mode of the above distribution.

Assessment: JAMB UTME - Mathematics - 2011 Subject: General Mathematics

Question 1 Report

Class Intervals 0 − 2 3 − 5 6 − 8 9 − 11
Frequency 3 2 5 3

Find the mode of the above distribution.

Answer Details
Mode = L1 + ( D 1 D 1 + D 2 )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 + ( D 1 D 1 + D 2 )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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