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.

Number of heads per toss Number of tosses
0 38
1 144
2 342
3 287
4 164
5 25
Total 1000
"

Number of heads per toss	Number 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.

To do:

We have to find the mean number of heads per toss.

Solution:

Number of heads per tosses ($x_i$)	Number of tosses ($f_i)$	$x_i \times\ f_i$
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$=\frac{\sum fx}{\sum f}$

Therefore,

Mean $=\frac{2470}{1000}$

$=2.47$

The mean number of heads per toss is $2.47$.

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Updated on: 10-Oct-2022

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