Class Interval Frequency Class boundaries Class... | JAMB UTME - Mathematics - 1995

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.

3.2

3.3

3.7

4.2

Answer Details

Mode = a + (b - a)(fm - Fb)

2Fm - Fa - Fb

= 3.0 + $\frac{(3.4 - 3) (15 - 4)}{2 (15) - 4 - 10}$

= 3 + $\frac{(6.4) (11)}{30 - 14}$

= 3 + $\frac{4.4}{16}$

= 3 + 0.275

= 3.275

= 3.3cm

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Representation Of Data

Measures Of Dispersion

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

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

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

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