Question

The number of goals scored by Arsenal Football Club in the English Premier League in the season 2007 were:
1, 2, 1, 3, 2, 5, 1, 6, 4, 4, 2, 3, 5, 6, 4, 2, 2, 3, 4, 1, 0, 5, 0, 5, 3, 2, 3, 4, 4, 1, 1, 2, 4, 3. 1. 4
Arrange these data in a distance frequency distribution table and answer the following:
(i) What is the range of the number of goals scored by AFC?
(ii) How many times did AFC score 3 or more than 3 goals?
(iii) Which variatie has the highest frequency?

Answer 1

The discrete frequency distribution table is a below:

No. Of goals	Tally Marks	Frequency
0	II	2
1	IIII II	7
2	IIII II	7
3	IIII I	6
4	IIII III	8
5	IIII	4
6	II	2

(i) Maximum goals scored = 6
Minimum goals scored = 0
∴ Range of the goals scored = 6 - 0 = 6
(iii) No. of times AFC scored 3 or more goals = 6 + 8 + 4 + 2 = 20
(iii) The variate which has highest frequency is 4.