In an office, there are 25 employees who travel to work every day. The time taken to commute to office is as follows. Calculate the mean time of commuting (in minutes). Time taken to commute to office (in minutes) by 25 employees:Time taken (minutes) No. of employees Less than 10 2 Less than 20 6 Less than 30 15 Less than 40 19 Less than 50 23 Less than 60 25
29
Convert the less-than cumulative frequencies into class-wise frequencies for the intervals 0–10, 10–20, 20–30, 30–40, 40–50 and 50–60.
Class frequencies: 2, 4, 9, 4, 4, 2 with total 25. Corresponding class midpoints: 5, 15, 25, 35, 45, 55.
Σfx = (2×5) + (4×15) + (9×25) + (4×35) + (4×45) + (2×55) = 10 + 60 + 225 + 140 + 180 + 110 = 725.
Mean = Σfx / Σf = 725 / 25 = 29 minutes.
Hence, the correct answer is 29.
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