No. of heads | 6 | 5 | 4 | 3 | 2 | 1 | 0 |
No. of tosses | 20 | 25 | 160 | 283 | 338 | 140 | 34 |
Calculate the mean for this distribution.
Solution:
No. of heads (x) | No. of tosses (f) | fx |
6 | 20 | 6×20 = 120 |
5 | 25 | 5×25 = 125 |
4 | 160 | 4×160 = 640 |
3 | 283 | 3×283 = 849 |
2 | 338 | 2×338 = 676 |
1 | 140 | 1×140 =140 |
0 | 34 | 0×34 = 0 |
Total | Ʃf = 1000 | Ʃfx = 2550 |
Mean = Ʃfx/Ʃf
= 2550/1000
= 2.55
Hence the mean is 2.55.