Compare Proportions from Descriptions & Tables Quick Check

Question

5 of 5 5 of 5 Items

Question
Use the tables to answer the question.

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 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.

Community B has the most children. There are 212.5 children which is greater than the 195 in Community A

Answer 1

To determine which community has the most children based on the average number of children per household, we first need to calculate the average number of children per household for both communities using the provided data.

Community A

• Total number of children in each case:
  • For 10 households: 26 children → 26 / 10 = 2.6 children/household
  • For 20 households: 52 children → 52 / 20 = 2.6 children/household
  • For 40 households: 104 children → 104 / 40 = 2.6 children/household
  • For 75 households: 195 children → 195 / 75 = 2.6 children/household

Average for Community A: 2.6 children/household.

Community B

• Total number of children in each case:
  • For 12 households: 30 children → 30 / 12 = 2.5 children/household
  • For 24 households: 60 children → 60 / 24 = 2.5 children/household
  • For 50 households: 125 children → 125 / 50 = 2.5 children/household
  • For 85 households: 212.5 children → 212.5 / 85 = 2.5 children/household

Average for Community B: 2.5 children/household.

Comparison

Community A averages 2.6 children per household, while Community B averages 2.5 children per household. Therefore, Community A has the most children per household.

Calculation for 1,000 households

If we assume both communities have 1,000 households:

• For Community A:
  • 1,000 households × 2.6 children/household = 2,600 children.

Based on this analysis, the correct response is:

Community A has the most children. There are 2,600 children in this community if there are 1,000 households.