six coins were simultaneously tossed 1000 times of these 100

six coins were simultaneously tossed 1000 times. of these 1000 tosses, there were 9 in which no heads appeared, 99 in which 1 head appeared, 21 in which 2 heads appeared, 313 in which 3 heads appeared, 233 in which 4 heads appeared, 95 in which 5 heads appeared, and 10 in which 6 heads appeared. display this frequency distribution by drawing a frequency curve.

Calculate the arithmetic mean of the collection of heads per toss.

what is the median of the collection of heads per toss?

what is the mode of the collection of heads per toss?

Solution

Solution :

Frequency distribution by drawing a frequency curve :

P(0 head)=9/1000= 0.009
P(1 head)=99/1000=0.099
P(2 head)=241/1000=0.241
P(3 head)=313/1000=0.313
P(4 head)=233/1000=0.233
P(5head)=95/1000=0.095
P(6 head)=10/1000=0.01

This can be illustrated on a graph and shows the distribution in the experiment.