Measures Of Central Tendency — Important Questions
ICSE · Class 11 · Economics
59 important questions from Measures Of Central Tendency for ICSE Class 11 Economics, with answers. Part of the ICSE Class 11 Economics syllabus.
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Important Questions from Measures Of Central Tendency
A mean of 48 was calculated for 100 observations. Later, one value was found to be 73 instead of 53. What is the correct mean?
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47.8
Original sum = 100 × 48 = 4800. Correct sum = 4800 - 73 + 53 = 4780. Correct mean = 4780/100 = 47.8.
A weighted mean is needed for values 10, 20, 30, 40 with weights 1, 2, 3, 4. What is the weighted arithmetic mean?
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30
Compute ΣWX = 10×1 + 20×2 + 30×3 + 40×4 = 10 + 40 + 90 + 160 = 300. Compute ΣW = 1 + 2 + 3 + 4 = 10. Weighted mean = 300/10 = 30.
A continuous series has frequencies 8, 15, 25, 32, 15, 5 in class intervals 0-10, 10-20, 20-30, 30-40, 40-50, 50-60. What is the median?
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30.625
Total frequency N = 100, so median position is N/2 = 50th item. Cumulative frequencies are 8, 23, 48, 80, 95, 100, so the median class is 30-40. Use M = L1 + (i/f)(m-c) = 30 + (10/32)(50-48) = 30 + 0.625 = 30.625.
A continuous series in descending order has median class 30-40, upper limit 40, class interval 10, frequency 32, median position 50, and preceding cumulative frequency 20. What is the median?
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30.625
For descending order, use M = L2 - (i/f)(m-c). Substitute values: M = 40 - (10/32)(50-20) = 40 - 9.375 = 30.625.
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