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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?
Solution
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.
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