Average hourly earnings(N)5−910−1415−1920−2..

Question 1 Report

$\begin{array}{cc} Average hourly earnings(N) & 5 - 9 & 10 - 14 & 15 - 19 & 20 - 24 \\ No. of workers & 17 & 32 & 25 & 24 \end{array}$

Estimate the mode of the above frequency distribution

12.2

12.27

12.9

13.4

Answer Details

$\begin{array}{cc} Class intervals & F & Class boundary \\ 5 - 7 & 17 & 4.5 - 9.5 \\ 10 - 14 & 32 & 9.5 - 14.5 \\ 15 - 19 & 25 & 14.5 - 19.5 \\ 20 - 24 & 24 & 19.5 - 24.5 \end{array}$
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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Average hourly earnings(N)5−910−1415−1920−24No. of workers17322524 Average hourly earnings(N) 5 − 9 10 − 14 15 − 19 20 − 24 No. of workers 17 32 25 24 Estim...

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