Data Handling and Presentation
Totals from a frequency table
Find totals from a frequency table, using a cricketer's wickets.
Faiz makes a frequency table of the wickets taken by the cricketer Jaspreet Bumrah in his last 30 matches. One column is the number of wickets; the other is in how many matches that happened:
| Wickets | Matches |
|---|---|
| 0 | 2 |
| 1 | 4 |
| 2 | 6 |
| 3 | 8 |
| 4 | 3 |
| 5 | 5 |
| 6 | 1 |
| 7 | 1 |
The matches add up to 2 + 4 + 6 + 8 + 3 + 5 + 1 + 1 = 30.
Mayank says: just add 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 to get the total wickets. That gives 28, but it is wrong! It counts each number of wickets only once, as if it happened in just one match. But Bumrah took 3 wickets in 8 different matches.
The right way: multiply each number of wickets by its frequency, then add. 3 wickets in each of 8 matches is 3 × 8 = 24 wickets. Row by row: 0 × 2 = 0, 1 × 4 = 4, 2 × 6 = 12, 3 × 8 = 24, 4 × 3 = 12, 5 × 5 = 25, 6 × 1 = 6, 7 × 1 = 7. Adding: 0 + 4 + 12 + 24 + 12 + 25 + 6 + 7 = 90. Bumrah took 90 wickets in those 30 matches.
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