Five coins were simultaneously tossed 1000 times and at each toss the number of heads were observed . The number of tossess 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. |
Given:
Five coins were simultaneously tossed 1000 times and at each toss the number of heads were observed . The number of tossess during which 0,1,2,3,4 and 5 heads were obtained are shown in the table.
To do:
We have to find the mean number of heads per toss.
Solution:
No. of heads per toss ($x$)
| No.of tosses ($f$) | $f \times\ x$ |
| 0 | 38 | 0 |
| 1 | 144 | 144 |
| 2 | 342 | 684 |
| 3 | 287 | 861 |
| 4 | 164 | 656 |
| 5 | 25 | 125 |
| Total | 1000 | 2470 |
We know that,
Mean$=\frac{\sum fx}{\sum f}$
$=\frac{2470}{1000}$
$=2.47$
The mean number of heads per toss is $2.47$.
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