Five coins were simultaneously tossed 1000 times and at each toss the number of heads were observed. 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 1 2 3 4 5 | 38 144 342 287 164 25 |
Total | 1000 |
No. of heads per toss (x) | No. of tosses (f) | fx |
0 | 38 | 0 |
1 | 144 | 144 |
2 | 342 | 684 |
3 | 287 | 861 |
4 | 164 | 656 |
5 | 25 | 125 |
N = 1000 | ∑fx = 2470 |
Therefore, mean number of heads per toss =
=
= 2.47