Measures Of Dispersion — Important Questions
ICSE · Class 11 · Economics
52 important questions from Measures Of Dispersion for ICSE Class 11 Economics, with answers. Includes multiple choice and multiple correct questions.
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Important Questions from Measures Of Dispersion
A series has X values 5, 7, 9, 11, and 13. What is the standard deviation by actual mean method?
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2.83
Mean = 9. Deviations are -4, -2, 0, 2, 4. Squares are 16, 4, 0, 4, 16. Sum of squares = 40. SD = √(40/5) = √8 = 2.83.
Using step deviation, values 10, 20, 30, 40, 50, 60, 70 with frequencies 3, 5, 7, 9, 8, 5, 3 and A = 40, C = 10 give what standard deviation?
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16.5
Step deviation values are -3, -2, -1, 0, 1, 2, 3. Compute Σfd' = 1 and Σfd'² = 109, N = 40. SD = √[109/40 - (1/40)²] × 10 ≈ 16.5.
Two groups have the same mean 53. Group 1 has N = 40 and SD = 19. Group 2 has N = 50 and SD = 8. What is the combined standard deviation?
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14
Since both means are 53, D1 = 0 and D2 = 0. Combined SD = √[(40×19² + 50×8²) / 90] = √(17640/90) = √196 = 14.
The values 3, 6, 9, 12, and 15 have mean 9. What is the variance?
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18
Deviations from mean are -6, -3, 0, 3, 6. Squares sum to 90. Variance = average squared deviation = 90/5 = 18.
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