In a European country, 20% of the families have three children, 30% have two children,
40% have one child, and 10% have no children. On average, how many children are there to a
family
Let number of families be x
No. of children in with 3 = 20%x X 3 = 0.6x
No. of children in with 2 = 30%x X 2 = 0.6x
No. of children in with 1 = 40%x X 1 = 0.4x
No. of children in with 0 = 10%x X 0 = 0
Average per house = (.6x + .6x + .4x)/x
=1.6x/x
=1.6
To find the average number of children per family in a European country, we need to calculate the weighted average.
Let's assign the following values:
Number of families with 3 children = 20%
Number of families with 2 children = 30%
Number of families with 1 child = 40%
Number of families with no children = 10%
Now, we can calculate the average number of children per family using the following formula:
Average number of children per family = (Number of families with 3 children * 3) + (Number of families with 2 children * 2) + (Number of families with 1 child * 1) + (Number of families with no children * 0)
= (20% * 3) + (30% * 2) + (40% * 1) + (10% * 0)
= (0.2 * 3) + (0.3 * 2) + (0.4 * 1) + (0.1 * 0)
= 0.6 + 0.6 + 0.4 + 0
= 1.6
Therefore, on average, there are 1.6 children per family in this European country.
To find the average number of children in a family, we need to calculate the mean or the expected value.
Let's start by calculating the number of children for each category of families:
- 20% of families have three children, so the total number of children in this category is 20% * 3 = 0.2 * 3 = 0.6 children per family.
- 30% of families have two children, so the total number of children in this category is 30% * 2 = 0.3 * 2 = 0.6 children per family.
- 40% of families have one child, so the total number of children in this category is 40% * 1 = 0.4 * 1 = 0.4 children per family.
- 10% of families have no children, so the total number of children in this category is 10% * 0 = 0 children per family.
Now let's calculate the average number of children by adding up the total number of children in each category and dividing it by the total percentage:
Average number of children = (0.6 + 0.6 + 0.4 + 0) / 100% = 1.6 / 100% = 0.016 children per family.
Therefore, on average, there are approximately 0.016 children per family in the European country.