Two families with 6 members are randomly selected. Each of the fami members took an IQ test. Their scores are as follows.

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

Which of the two families has more consistent scores?

1 answer

To determine which family has more consistent scores, we need to look at the range and standard deviation of each family's scores.

Family A: Range = 128 - 109 = 19; Standard deviation = 7.7

Family B: Range = 120 - 115 = 5; Standard deviation = 1.4

Since Family B has a smaller range and lower standard deviation, their scores are more consistent. Therefore, Family B has more consistent scores.