Ask a New Question
Menu

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) Family B is more consistent, because the range of their scores is lower than that of Family A. Family A is more consistent, because the range of their scores is lower than that of Family B. Family B is more consistent, because the range of their scores is higher than that of Family A. The scores of both families are equally consistent.

1 answer

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

Calculating the range:

  • The range is the difference between the highest and lowest scores in each family.

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

  • Lowest score: 109
  • Highest score: 128
  • Range for Family A = 128 - 109 = 19

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

  • Lowest score: 115
  • Highest score: 120
  • Range for Family B = 120 - 115 = 5

Now comparing the ranges:

  • Family A has a range of 19.
  • Family B has a range of 5.

Since a lower range indicates more consistency in scores, Family B is more consistent because the range of their scores is lower than that of Family A.

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