Class Interval Frequency Class boundaries Class Mid−point \(1.5-1.9\) \(2\) \(1.45-1.95\) \(1.7\) \(2.0-2.4\) \(21\) \(1.95-2.45\) \(2.2\) \(2.5-2.9\) \(4\)...

Assessment: JAMB UTME - Mathematics - 1995 Subject: General Mathematics

Question 1 Report

Class Interval Frequency Class boundaries Class Mid−point
\(1.5-1.9\) \(2\) \(1.45-1.95\) \(1.7\)
\(2.0-2.4\) \(21\) \(1.95-2.45\) \(2.2\)
\(2.5-2.9\) \(4\) \(2.45-2.95\) \(2.7\)
\(3.0-2.9\) \(15\) \(2.95-3.45\) \(3.2\)
\(3.5-3.9\) \(10\) \(3.45-3.95\) \(3.7\)
\(4.0-4.4\) \(5\) \(3.95-4.45\) \(4.2\)
\(4.5-4.9\) \(3\) \(4.45-4.95\) \(4.7\)

Find the mode of the distribution above to find the mode of the distribution.

Answer Details

Mode = a + (b - a)(fm - Fb)

2Fm - Fa - Fb

= 3.0 + (3.4?3)(15?4)2(15)?4?10 ( 3.4 ? 3 ) ( 15 ? 4 ) 2 ( 15 ) ? 4 ? 10

= 3 + (6.4)(11)30?14 ( 6.4 ) ( 11 ) 30 ? 14

= 3 + 4.416 4.4 16

= 3 + 0.275

= 3.275

= 3.3cm

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