Skewness of Frequency Distribution — Important Questions
Gujarat Board · Class 11 · Statistics
44 important questions from Skewness of Frequency Distribution for Gujarat Board Class 11 Statistics, with answers.
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Important Questions from Skewness of Frequency Distribution
Which characteristics indicate positive skewness in a frequency distribution?
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Mean > Mode, Right tail is elongated, Q₃ - M > M - Q₁
Positive skewness occurs when the distribution has a longer right tail, mean exceeds mode, and the third quartile is farther from median than the first quartile.
What is the typical range for coefficient of skewness?
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-1 to +1
The coefficient of skewness typically lies between -1 and +1, with 0 indicating perfect symmetry.
Which conditions indicate a symmetric distribution?
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Q₃ - M = M - Q₁, Bell-shaped frequency curve, Equal frequencies at equal distances from mode
Symmetric distributions have equal quartile distances from median, bell-shaped curves, and balanced frequencies around the mode.
If Q₃ + Q₁ = 80 and M = 40, what can you conclude about the distribution?
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Symmetric
Since Q₃ + Q₁ = 80 and M = 40, we have Q₃ + Q₁ = 2M (80 = 2×40), indicating symmetry.
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