The following table shows classification of number of workers and the number of hours they work in a software company. Find the median of the number of hours they work.

Daily No. of hours	8–10	10–12	12–14	14–16
Number of workers	150	500	300	50

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

1 answer

Answer: Median = 11.4 hours

Class	Frequency	Cumulative frequency (less than)
8–10	150	150
10–12	500	650
12–14	300	950
14–16	50	1000

\(N = 1000\), so \(\frac{N}{2} = 500\). The first cumulative frequency greater than or equal to 500 is 650, so the median class is 10–12.

\(L = 10\), \(cf = 150\), \(f = 500\), \(h = 2\)

\[ \text{Median} = L + \left[\frac{\frac{N}{2} - cf}{f}\right] \times h \]

\[ = 10 + \frac{500 - 150}{500} \times 2 \]

\[ \approx 11.4 \]

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report

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