Community A
Number of households: 10, 20, 40, 75
Total number of children: 26, 52, 104, 195
Community B
Number of households: 12, 24, 50, 85
Total number of children: 30, 60, 125, 212.5
Based on the tables showing the average number of children per household for two different communities, which community has the most children of both neighborhoods have the same number of households? How many children live in this community if 1,000 households?
Options:
Community A has the most children. There are 2,600 children in this community if there are 1,000 households.
Community A has the most children. There are 260 children in this community if there are 1,000 households.
Community B has the most children. There are 212.5 children which is greater than the 195 in community A.
Community B has the most children. There are 2,500 children in this community if there are 1,000 households
To determine which community has the most children if both neighborhoods have the same number of households, we can calculate the average number of children per household for each community.
For Community A:
Number of households: 10, 20, 40, 75
Total number of children: 26, 52, 104, 195
Average number of children per household in Community A:
Average = Total number of children / Number of households
Average = (26 + 52 + 104 + 195) / (10 + 20 + 40 + 75)
Average = 377 / 145
Average ≈ 2.60 children per household
For Community B:
Number of households: 12, 24, 50, 85
Total number of children: 30, 60, 125, 212.5
Average number of children per household in Community B:
Average = Total number of children / Number of households
Average = (30 + 60 + 125 + 212.5) /(12 + 24 + 50 + 85)
Average = 427.5 / 171
Average ≈ 2.50 children per household
Comparing the averages, we can conclude that Community A has a higher average number of children per household. This means that if there are 1,000 households, Community A would have more children than Community B.
To calculate the number of children in Community A if there are 1,000 households:
Number of children = Average number of children per household × Number of households
Number of children = 2.60 × 1,000
Number of children = 2,600
Therefore, the correct option is: Community A has the most children. There are 2,600 children in this community if there are 1,000 households.
To determine which community has the most children when both neighborhoods have 1,000 households, we need to find the average number of children per household for each community.
For Community A:
Average number of children per household = Total number of children / Number of households
For the given data, the average number of children per household for Community A would be:
For the first household group (10 households):
Average = 26 children / 10 households = 2.6 children per household
For the second household group (20 households):
Average = 52 children / 20 households = 2.6 children per household
For the third household group (40 households):
Average = 104 children / 40 households = 2.6 children per household
For the fourth household group (75 households):
Average = 195 children / 75 households = 2.6 children per household
So, the average number of children per household for Community A is consistently 2.6 children per household.
Now, to find the number of children in Community A if there are 1,000 households, we can multiply the average number of children per household by the number of households:
Number of children in Community A = Average number of children per household * Number of households
Number of children in Community A = 2.6 children per household * 1,000 households
Number of children in Community A = 2,600 children
Therefore, the correct option is:
Community A has the most children. There are 2,600 children in this community if there are 1,000 households.
To determine which community has the most children when both neighborhoods have the same number of households, we need to calculate the average number of children per household for each community.
For Community A:
- Number of households: 10, 20, 40, 75
- Total number of children: 26, 52, 104, 195
To find the average number of children per household in Community A, we divide the total number of children by the number of households:
- Average number of children per household in Community A = Total number of children / Number of households
For each household in Community A, the average number of children per household can be calculated as follows:
- For the first household (10 households) in Community A: Average = 26 / 10 = 2.6
- For the second household (20 households) in Community A: Average = 52 / 20 = 2.6
- For the third household (40 households) in Community A: Average = 104 / 40 = 2.6
- For the fourth household (75 households) in Community A: Average = 195 / 75 = 2.6
So, the average number of children per household in Community A is 2.6.
Now, let's do the same calculation for Community B:
- Number of households: 12, 24, 50, 85
- Total number of children: 30, 60, 125, 212.5
For each household in Community B:
- For the first household (12 households) in Community B: Average = 30 / 12 = 2.5
- For the second household (24 households) in Community B: Average = 60 / 24 = 2.5
- For the third household (50 households) in Community B: Average = 125 / 50 = 2.5
- For the fourth household (85 households) in Community B: Average = 212.5 / 85 = 2.5
So, the average number of children per household in Community B is 2.5.
Now, to find out which community has the most children when there are 1,000 households, we can multiply the average number of children per household by 1,000.
For Community A: 2.6 children per household * 1,000 households = 2,600 children
For Community B: 2.5 children per household * 1,000 households = 2,500 children
Comparing the two calculations, it can be concluded that Community A has the most children. Therefore, the correct answer is:
"Community A has the most children. There are 2,600 children in this community if there are 1,000 households."