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

 

Answer 1

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