Question

12, 22, 24, 33, 39, 42, 44 the given list shows the 7 values in a data set. which of the following data sets has the same median as the given list? a 22, 25, 35, 38, 49, 50, 54 b 22, 28, 33, 39, 41, 43, 46 c 12, 15, 28, 33, 35, 39, 39 d 22, 25, 26, 28, 33, 33, 39

Explanation:

Step1: Arrange given data in order

12, 22, 24, 33, 39, 42, 44. Since there are 7 (odd - numbered) data points, the median is the middle - numbered value. The middle value is the 4th value when arranged in ascending order, so the median of the given data set is 33.

Step2: Check each option

Option A:

Arrange 22, 25, 35, 38, 49, 50, 54 in order. There are 7 data points. The median is the 4th value, which is 38.

Option B:

Arrange 22, 28, 33, 39, 41, 43, 46 in order. There are 7 data points. The median is the 4th value, which is 39.

Option C:

Arrange 12, 15, 28, 33, 35, 39, 39 in order. There are 7 data points. The median is the 4th value, which is 33.

Option D:

Arrange 22, 25, 26, 28, 33, 33, 39 in order. There are 7 data points. The median is the 4th value, which is 28.

Answer:

C. 12, 15, 28, 33, 35, 39, 39