Community A. Community B
Household. Children. Household. Children
10. 26. 12. 30
20. 52. 24. 60
40. 104. 50. 125
75. 195. 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 household?
How many children live in community if 1000 households?
A. Community A has the most children. There are 260 children in this community if there are 1000 household
B. Community B has the most children. There are 212.5 children which is greater than 195 in community A
C. Community B has the most children. There are 2500 children in this community if there are 1000 household
D. Community A has the most children. There are 2600 children in this community if there are 1000 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:
Average number of children per household = Total number of children / Total number of households
= (26 + 52 + 104 + 195) / 4
= 377 / 4
= 94.25
For Community B:
Average number of children per household = Total number of children / Total number of households
= (30 + 60 + 125 + 212.5) / 4
= 427.5 / 4
= 106.875
From the calculations, we can see that Community B has a higher average number of children per household.
Next, to determine how many children would live in each community if there were 1000 households, we can calculate the total number of children in each community.
For Community A:
Total number of children = Average number of children per household * Total number of households
= 94.25 * 1000
= 94250
For Community B:
Total number of children = Average number of children per household * Total number of households
= 106.875 * 1000
= 106875
Therefore, the correct answer is:
B. Community B has the most children. There are 212.5 children which is greater than 195 in community A. There are 106,875 children in this community if there are 1000 households.
B. Community B has the most children. There are 212.5 children which is greater than 195 in community A
To determine which community has the most children if both neighborhoods have the same number of households, we need to compare the average number of children per household for each community.
From the tables given:
- Community A has an average of 10, 26, 40, and 75 children per household respectively.
- Community B has an average of 12, 24, 50, and 85 children per household respectively.
Looking at the average number of children per household, we can see that for each respective household size, the values for Community B are higher than those for Community A.
Now, to find the number of children if there are 1000 households, we can extrapolate the average number of children per household to the total number of households.
For Community A:
Average number of children per household = (10 + 26 + 40 + 75) / 4 = 150 / 4 = 37.5
Number of children in 1000 households = 37.5 * 1000 = 37,500
For Community B:
Average number of children per household = (12 + 24 + 50 + 85) / 4 = 171 / 4 = 42.75
Number of children in 1000 households = 42.75 * 1000 = 42,750
Comparing these values, we can conclude that Community B has the most children, with 42,750 children in 1000 households.
Therefore, the correct answer is B. Community B has the most children. There are 212.5 children, which is greater than 195 in Community A.