Question

Two families with 6 members are randomly selected. Each of the family members took an IQ test. Their scores are as follows. Which of the two families has more consistent scores?

Family A: 109, 113, 117, 120, 128, 111
Family B: 120, 118, 115, 116, 119, 118

(1 point)
Responses

The scores of both families are equally consistent.
The scores of both families are equally consistent.

Family B is more consistent, because the range of their scores is lower than that of Family A.
Family B is more consistent, because the range of their scores is lower than that of Family A.

Family B is more consistent, because the range of their scores is higher than that of Family A.
Family B is more consistent, because the range of their scores is higher than that of Family A.

Family A is more consistent, because the range of their scores is lower than that of Family B.

Answer 1

To determine which family has more consistent scores, we can compare the range of scores for both families.

**Family A:**
Scores: 109, 113, 117, 120, 128, 111

- The minimum score is 109.
- The maximum score is 128.
- Range = Maximum - Minimum = 128 - 109 = 19.

**Family B:**
Scores: 120, 118, 115, 116, 119, 118

- The minimum score is 115.
- The maximum score is 120.
- Range = Maximum - Minimum = 120 - 115 = 5.

Since Family B has a range of 5, which is lower than Family A's range of 19, we can conclude that Family B is more consistent in their scores.

Thus, the correct response is:
**Family B is more consistent, because the range of their scores is lower than that of Family A.**