begin array c c Weight s amp 0 -10 amp 10 - 20 ... - JAMB Mathematics 1993 Question
(\begin{array}{c|c} Weight(s) & 0 -10 & 10 - 20 & 20 - 30 & 40 - 50\ \hline \text{Number of coconuts} & 10 & 27 & 19 & 6 & 2\end{array})
Estimate the mode of the frequency distribution above
A
13.2g
B
15.0g
C
16.8g
D
17.5g
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Correct Option: C
Mode = a + (\frac{(b - a)(F_m - F_b)}{2F_m - F_a - F_b})
= (L_1 + \frac{\Delta_1 x^\text{c}}{\Delta_1 + \Delta_2})
= (10 + \frac{(20 - 10)(27 - 10)}{2(27) - 10 - 19})
= 10 + (\frac{170}{25})
= 10 + 6.8
= 16.8
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