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Question
Five coins were simultaneously tossed 1000 times and at each toss the number of heads wereobserved. The number of tosses during which 0, 1, 2, 3, 4 and 5 heads were obtained are shown in the table below. Find the mean number of heads per toss.
| No. of heads per toss | No.of tosses |
| 0 | 38 |
| 1 | 144 |
| 2 | 342 |
| 3 | 287 |
| 4 | 164 |
| 5 | 25 |
| TOtal | 1000 |
Solution
| No. of heads per toss (x) | No.of tosses (f) | fx |
| 0 | 38 | 0 |
| 1 | 144 | 144 |
| 2 | 324 | 684 |
| 3 | 287 | 861 |
| 4 | 164 | 656 |
| 5 | 25 | 125 |
| N = 1000 | `sumfx = 2470` |
∴ Mean number of heads per toss `(sumfx )/N`
= `2470/1000`
= 2.47
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