Weight(s)0−1010−2020−3040−50Number of coconuts10271962 W e i g h t ( s ) 0 − 10 10 − 20 20 − 30 40 − 50 Number of coconuts 10 27 19 6 2 Estimate the mode of...

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

Question 1 Report

$\begin{array}{cc} W e i g h t (s) & 0 - 10 & 10 - 20 & 20 - 30 & 40 - 50 \\ Number of coconuts & 10 & 27 & 19 & 6 & 2 \end{array}$

Estimate the mode of the frequency distribution above.

13.2g

15.0g

16.8g

17.5g

Answer Details

Mode = a + $\frac{(b - a) (F_{m} - F_{b})}{2 F_{m} - F_{a} - F_{b}}$
= $L_{1} + \frac{Δ_{1} x^{c}}{Δ_{1} + Δ_{2}}$
= $10 + \frac{(20 - 10) (27 - 10)}{2 (27) - 10 - 19}$
= 10 + $\frac{170}{25}$
= 10 + 6.8
= 16.8

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Weight(s)0−1010−2020−3040−50Number of coconuts10271962 W e i g h t ( s ) 0 − 10 10 − 20 20 − 30 40 − 50 Number of coconuts 10 27 19 6 2 Estimate the mode of...

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