Question

Question 50
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
$Mean=\frac{Sumofallobservations}{Totalobservations}=\frac{50}{5}=10$ Here, n = 5(odd)
So, median = value of $\left(\frac{n+1}{2}\right)$th observation
= value of $\left(\frac{5+1}{2}\right)$th observation = value of 3rd observation = 10
Mode = Most frequent data = 10
Hence, Mean = Median = Mode
Yes,
Mean, median and mode are equal.