College

Select the correct answer.

What is the median of this data set?

21, 42, 63, 84, 105, 126, 147

A. 21
B. 63
C. 84
D. 126

Answer :

To find the median of the data set 21, 42, 63, 84, 105, 126, 147, you should follow these steps:

1. Identify the Data Set: The numbers in the data set are already ordered from smallest to largest: 21, 42, 63, 84, 105, 126, 147.

2. Determine the Number of Data Points: There are 7 numbers in the data set.

3. Identify Whether the Number of Data Points is Odd or Even: Since there are 7 (an odd number) data points, the median will be the number that is exactly in the middle of the list.

4. Find the Middle Number: As there are 7 data points, the middle number is the fourth number in this ordered list. So, start counting from the first:

- 1st number: 21
- 2nd number: 42
- 3rd number: 63
- 4th number: 84
- 5th number: 105
- 6th number: 126
- 7th number: 147

The fourth number is 84.

5. Conclusion: Since the middle number in this data set is 84, the median of this data set is 84.

Therefore, the correct answer is OC. 84.