Question

Question 64
A die was thrown 15 times and the outcomes recorded were
5, 3, 4, 1, 2, 6, 4, 2, 2, 3, 1, 5, 6, 1, 2.
Find the mean, median and mode of the data.

Answer 1

Given data is 5, 3, 4, 1, 2, 6, 4, 2, 2, 3, 1, 5, 6, 1, 2.
Arranging the data in ascending order, we have
1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6.
$Mean=\frac{Sumofallobservations}{Totalnumberofobservations}=\frac{1+1+1+2+2+2+2+3+3+4+4+5+5+6+6}{15}=\frac{47}{15}=3.13$
Mode = Most frequent occuring value in the given data = 2
Here, n = 15 (odd)
Median = Value of $\left(\frac{n+1}{2}\right)th$ observation = Value of $\left(\frac{15+1}{2}\right)th$ observation
= Value of 8th observation = 3