12, 20, 22, 31, 38, 41, 43. the given list shown the 7 values in a data - set. which of the following data…

12, 20, 22, 31, 38, 41, 43. the given list shown the 7 values in a data - set. which of the following data sets has the same median as the given list? a. 20, 23, 24, 27, 31, 31, 38 b. 12, 15, 27, 31, 33, 38, 38 c. 20, 27, 31, 38, 40, 42, 45 d. 22, 25, 36, 37, 48, 49, 53

12, 20, 22, 31, 38, 41, 43. the given list shown the 7 values in a data - set. which of the following data sets has the same median as the given list? a. 20, 23, 24, 27, 31, 31, 38 b. 12, 15, 27, 31, 33, 38, 38 c. 20, 27, 31, 38, 40, 42, 45 d. 22, 25, 36, 37, 48, 49, 53

Answer

Explanation:

Step1: Arrange given data in ascending order

12, 20, 22, 31, 38, 41, 43. Since there are 7 (odd number) values, the median is the $\left(\frac{7 + 1}{2}\right)$-th value. The 4 - th value is 31.

Step2: Check option a

Arrange 20, 23, 24, 27, 31, 31, 38 in ascending order. There are 7 values, and the 4 - th value is 27.

Step3: Check option b

Arrange 12, 15, 27, 31, 33, 38, 38 in ascending order. There are 7 values, and the 4 - th value is 31.

Step4: Check option c

Arrange 20, 27, 31, 38, 40, 42, 45 in ascending order. There are 7 values, and the 4 - th value is 38.

Step5: Check option d

Arrange 22, 25, 36, 37, 48, 49, 53 in ascending order. There are 7 values, and the 4 - th value is 37.

Answer:

B. 12, 15, 27, 31, 33, 38, 38