Question

The variable being measured is the number of hours a 10 year old spend watching videos. Using three distribution-

1 Distribution of a population of individuals

2 Distribution of a particular sample of individuals fro the population

3 Distribution of mean

Explain the difference in all three distributions to someone who has never taken statistics class before.

Answer 1

Solution:

Let us consider the number of hours a 10 year old spends watching videos for 10 days.

Let us use 10 days data to study the three distribution.

Days	1	2	3	4	5	6	7	8	9	10
Hours	1	1.5	2	3	1	2	1.5	3	2.5	2

1. Distribution of a population of individuals

The population is whole set of values that we are interested in. It includes all the elements from a set of data.

Here the above 10 days data are population distribution.

2 Distribution of a particular sample of individuals from the population.

Now let us consider the below sample from the above data set.

Days	1	2	3	4
Hours	1	1.5	2	3

Here we have taken only 4 days data set. This is called sample distribution.

3 Distribution of mean

Let us find the mean of sample we have considered from the second table.

Mean=Sum of all data/ Number of data=(1+1.5+2+3)/4=7.5/4=1.875

The average number of hours 10year old watches videos is 1.875 hours.

The below chart helps to understand all the above three distribution.