\(\begin{array}{c|c} Weight(s) & 0 -10 & 10 - 20 & 20 - 30 &30 - 40 & 40 - 50\\ \hline \text{Number of coconuts} & 10 & 27 & 19 & 6 & 2\end{array}\)
Weight(g)
0-10
10-20
20-30
30-40
40-50
No. of coconuts
10
27
19
6
2
Estimate the mode of the frequency distribution above
A
13.2g
B
15.0g
C
16.8g
D
17.5g
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #31271)