Community A
Number of Households Total Number of Children
10 26
20 52
40 104
75 195
Community B
Number of Households Total Number of Children
12 30
24 60
50 125
85 212.5
Based on the tables showing the average number of children per household for two different communities, which community has the most children if both neighborhoods have the same number of households? How many children live in this community if 1,000 households?
(1 point)
Responses
Community A has the most children. There are 260 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 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.
Community B has the most children. There are 2,500 children in this community if there are 1,000 households.
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 2,600 children in this community if there are 1,000 households.
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Community A has the most children. There are 260 children in this community if there are 1,000 households.
To determine which community has the most children, we need to compare the average number of children per household in each community.
In Community A, the average number of children per household can be calculated by dividing the total number of children by the number of households:
- For 10 households, the average is 26/10 = 2.6 children per household.
- For 20 households, the average is 52/20 = 2.6 children per household.
- For 40 households, the average is 104/40 = 2.6 children per household.
- For 75 households, the average is 195/75 = 2.6 children per household.
So, in Community A, the average number of children per household is always 2.6.
In Community B, the average number of children per household can be calculated in the same way:
- For 12 households, the average is 30/12 = 2.5 children per household.
- For 24 households, the average is 60/24 = 2.5 children per household.
- For 50 households, the average is 125/50 = 2.5 children per household.
- For 85 households, the average is 212.5/85 = 2.5 children per household.
So, in Community B, the average number of children per household is always 2.5.
Since the average number of children per household is higher in Community A (2.6) compared to Community B (2.5), Community A has the most children.
If we assume there are 1,000 households in each community, we can then calculate the total number of children in each community.
In Community A, the total number of children would be 2.6 children/household * 1,000 households = 2,600 children.
In Community B, the total number of children would be 2.5 children/household * 1,000 households = 2,500 children.
Therefore, if there are 1,000 households in each community, Community A would have 2,600 children and Community B would have 2,500 children.
To determine which community has the most children if both neighborhoods have the same number of households, we need to calculate the average number of children per household for each community and compare them.
First, let's calculate the average number of children per household for Community A. To do this, we divide the total number of children by the number of households for each row and then calculate the average across all rows:
For Community A:
Average number of children per household = (26 + 52 + 104 + 195) / (10 + 20 + 40 + 75)
Calculating this gives us an average of 4.9333 children per household.
Next, let's calculate the average number of children per household for Community B:
For Community B:
Average number of children per household = (30 + 60 + 125 + 212.5) / (12 + 24 + 50 + 85)
Calculating this gives us an average of 3.8382 children per household.
Since we are comparing the same number of households (1,000 households), we can multiply the average number of children per household by 1,000 to find out how many children live in each community.
For Community A:
Number of children in Community A = 4.9333 * 1,000
Calculating this gives us approximately 4,933 children in Community A if there are 1,000 households.
For Community B:
Number of children in Community B = 3.8382 * 1,000
Calculating this gives us approximately 3,838 children in Community B if there are 1,000 households.
So, based on the calculations, Community A has the most children, with 4,933 children, if there are 1,000 households.