The number of goals scored by 20 football teams in their most recent match are show in the table below. Extra columns have been included in the table that you may wish to use to help you with the calculations | Number of goals, x | Frequency, f. | | | | :--- | :--- | :--- | :--- | | 0 | 5 | | | | 1 | 7 | | | | 2 | 4 | | | | 3 | 3 | | | | 4 | 1 | | | a) Calculate the mean number of goals scored. State your answer to the nearest whole number of goals. (4 marks) b) Calculate the median number of goals (2 marks) c) What is the modal number of goals? (1 mark)
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Step 1
- Multiply each number of goals by its frequency to find the total goals for each category. - \(0 \times 5 = 0\) - \(1 \times 7 = 7\) - \(2 \times 4 = 8\) - \(3 \times 3 = 9\) - \(4 \times 1 = 4\) Show more…
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