Question

A reading teacher recorded the number of pages read in an hour by each of her students. The numbers are shown below. 44, 49, 39, 43, 50, 44, 45, 49, 51. For this data, which summary statistic is NOT correct?

A. The minimum is 39.

B. The lower quartile is 44.

C. The median is 45.

D. The maximum is 51.

Answer 1

The lower quartile is incorrect, it should be 44 not 49.

Step-by-step explanation:

The summary statistic that is NOT correct for the given data is option B, which states that the lower quartile is 44.

To find the lower quartile, we need to arrange the data in ascending order first: 39, 43, 44, 44, 45, 49, 49, 50, 51. There are 9 data points, so the lower quartile is located at the position (9 + 1) / 4 = 2.5. Since 2.5 is not a whole number, we take the average of the 2nd and 3rd values, which are both 44. So, the lower quartile is 44, not 49 as stated in option B.