Home » (begin{array}{c|c} Weight(s) & 0 -10 & 10 – 20 & 20 – 30 & 40…

(begin{array}{c|c} Weight(s) & 0 -10 & 10 – 20 & 20 – 30 & 40…

(begin{array}{c|c} Weight(s) & 0 -10 & 10 – 20 & 20 – 30 & 40 – 50\ hline text{Number of coconuts} & 10 & 27 & 19 & 6 & 2end{array})
Estimate the mode of the frequency distribution above
  • A.
    13.2g
  • B.
    15.0g
  • C.
    16.8g
  • D.
    17.5g
Correct Answer: Option C
Explanation

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

Related:  Ladi sold a car for N84,000 at a loss of 4%. How much did ladi...