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Question
Calculate the Mean, Median and Mode of the following data:
5, 10, 10, 12, 13.
Are these three equal?
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Solution
Given data is 5, 10, 10, 12, 13.
Sum of all observations = 5 + 10 + 10 + 12 + 13 = 50
Number of observations = 5
Mean = `"Sum of all observations"/"Total observations" = 50/5` = 10
Here, n = 5 ...(Odd)
So, Median = Value of `((n + 1)/2)^(th)` observation
= Value of `((5 + 1)/2)^(th)` observation
= Value of 3rd observation = 10
Mode = Most frequent data = 10
Hence, Mean = Median = Mode
Yes, Mean, median and mode are equal.
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