Home » (begin{array}{c|c} text{Average hourly earnings(N)} & 5 – 9 & 10 – 14 & 15 -…

(begin{array}{c|c} text{Average hourly earnings(N)} & 5 – 9 & 10 – 14 & 15 -…

(begin{array}{c|c} text{Average hourly earnings(N)} & 5 – 9 & 10 – 14 & 15 – 19 & 20 – 24\ hline text{No. of workers} & 17 & 32 & 25 & 24end{array})
Estimate the mode of the above frequency distribution
  • A.
    12.2
  • B.
    12.27
  • C.
    12.9
  • D.
    13.4
Correct Answer: Option B
Explanation

(begin{array}{c|c} text{Class intervals} & F & text{Class boundary}\ hline 5 – 7 & 17 & 4.5 – 9.5\ 10 – 14 & 32 & 9.5 – 14.5\ 15 – 19 & 25 & 14.5 – 19.5\ 20 – 24 & 24 & 19.5 – 24.5 end{array})
mode = 9 + (frac{D_1}{D_2 + D_1}) x C
= 9.5 + (frac{5(32 – 17)}{2(32) – 17 – 25})
= 9.5 + (frac{75}{27})
= 12.27
(approx) 2.3

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