Question

Calculate the Mean, Median and Mode of the following data:

5, 10, 10, 12, 13.

Are these three equal?

Answer 1

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 3^rd observation = 10

Mode = Most frequent data = 10

Hence, Mean = Median = Mode

Yes, Mean, median and mode are equal.