\(Weight(s)\) \(0-10\) \(10-20\) \(20-30\) \(40-50\) Number of coconuts \(10\) \(27\) \(19\) \(6\) \(2\) Estimate the mode of the frequency distribution abo...

Assessment: JAMB UTME - Mathematics - 1993 Subject: General Mathematics

Question 1 Report

\(Weight(s)\) \(0-10\) \(10-20\) \(20-30\) \(40-50\)
Number of coconuts \(10\) \(27\) \(19\) \(6\) \(2\)

Estimate the mode of the frequency distribution above.

Answer Details
Mode = a +  ( b − a ) ( F m − F b ) 2 F m − F a − F b
=  L 1 + Δ 1 x c Δ 1 + Δ 2
=  10 + ( 20 − 10 ) ( 27 − 10 ) 2 ( 27 ) − 10 − 19
= 10 +  170 25
= 10 + 6.8
= 16.8

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