\(\begin{array}{c|c} Weight(s) & 0 -10 & 10 - 20 & 20 - 30 & 40 - 50\\ \hline \text{Number of coconuts} & 10 & 27 & 19 & 6 & 2\end{array}\)
Estimate the mode of the frequency distribution above

A.

13.2g

B.

15.0g

C.

16.8g

D.

17.5g

Correct answer is 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