Skewness of Frequency Distribution — Practice Quiz
Gujarat Board · Class 11 · Statistics
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Quick Quiz: Skewness of Frequency Distribution
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In a symmetric frequency distribution, what is the relationship between mean, median, and mode?
What is the formula for Karl Pearson's coefficient of skewness when mode is well-defined?
In a negatively skewed distribution, which measure of central tendency has the highest value?
What is Bowley's formula for coefficient of skewness?
Sample Questions
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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