Measures of Central Tendency — Practice Quiz
Gujarat Board · Class 11 · Statistics
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Quick Quiz: Measures of Central Tendency
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What is the arithmetic mean of the numbers 4, 6, 8, 10, 12?
The median of the data set 3, 7, 2, 9, 5 is:
What is the mode of the data: 2, 3, 4, 3, 5, 3, 6?
If the sum of 5 observations is 50, what is their arithmetic mean?
Sample Questions
Which of the following are advantages of arithmetic mean?
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It is rigidly defined, It is based on all observations, It is suitable for further algebraic operations
Mean is rigidly defined with a fixed formula, uses all observations, and is suitable for algebraic operations. However, it is affected by extreme values and cannot be calculated for open-ended classes.
Mode is the value that appears most frequently in a data set.
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True
Mode is defined as the value that occurs with the highest frequency or appears most often in a data set.
Which measure of central tendency is least affected by extreme values?
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Median
Median depends only on the middle value(s) and is not affected by extreme values, unlike mean which uses all values in its calculation.
The empirical relationship between mean, median, and mode is:
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Mode = 3(Median) - 2(Mean)
Karl Pearson established the empirical relationship: Mode = 3(Median) - 2(Mean), which is useful when mode cannot be determined directly.
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