Class Interval 1 − 5 6 − 10 11 − 15 16 − 20 21 − 25 Frequency 6 15 20 7 2 Estimate the median of the frequency distribution above

Assessment: JAMB UTME - Mathematics - 1994 Subject: General Mathematics

Question 1 Report

Class Interval 1 − 5 6 − 10 11 − 15 16 − 20 21 − 25
Frequency 6 15 20 7 2

Estimate the median of the frequency distribution above

Answer Details
Median = L + [ N 2 − f f m ]h
N = Sum of frequencies
L = lower class boundary of median class
f = sum of all frequencies below L
fm = frequency of modal class and
h = class width of median class
Median = 11 + [ 50 2 − 21 20 ]5
= 11 + ( 25 − 21 20 )5
= 11 + ( ( 4 ) 20 )
11 + 1 = 12

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