The data show the amount spent by 8 households on heating bills in January and June last year.

January
1: $80.50
2: $75.00
3: $68.90
4: $87.00
5: $81.80
6: $78.20
7: $74.60
8: $69.80

June
1: $50.40
2: $36.70
3: $31.00
4: $47.30
5: $52.00
6: $39.60
7: $35.60
8: $31.20

Which of the following best describes the data?

A) The data are dependent because the heating bills in January and June came from the same households.
B) The data are dependent because the amounts changed between January and June.
C) The data are independent because the heating bills in January and June came from the same households.
D) The data are independent because the amount changed between January and June.

1 answer

The correct answer is:

A) The data are dependent because the heating bills in January and June came from the same households.

This is because the heating bills for January and June are measurements taken from the same set of households, which means the data points are related, making them dependent on each other.