Question

A die was thrown 20 times and the following scores were recorded:
5, 2, 1, 3, 4, 4, 5, 6, 2, 2, 4, 5, 5, 6, 2, 2, 4, 5, 5, 1
Prepare the frequency table of the scores on the upper face of the die and find the mean score.

Answer 1

The frequency table for the given data is as follows:
x: 1 2 3 4 5 6
f: 2 5 1 4 6 2

In order to compute the arithmetic mean, we prepare the following table:

Computation of Arithmetic Mean

Scores (xi)	Frequency (fi)	xifi
1	2	2
2	5	10
3	1	3
4	4	16
5	6	30
6	2	12
Total	$\sum _{}{f}_i=20$	$\sum f_i{x}_i=73$

We have, $\sum _{}{f}_i=20$ and $\sum f_i{x}_i=73$
∴ The mean score = $\frac{{\sum }_{}{f}_i{x}_i}{\sum f_i}=\frac{73}{20}=3.65$.