Answer :
To find the median of the given set of values (89, 15, 67, 148, 22, 89), follow these steps:
1. List the values: Start with the numbers: 89, 15, 67, 148, 22, 89.
2. Sort the values: Arrange the numbers from smallest to largest: 15, 22, 67, 89, 89, 148.
3. Count the number of values: You have six numbers in the list.
4. Determine the position for the median:
- Since the number of values, 6, is even, the median will be the average of the two middle numbers.
5. Identify the middle numbers:
- The two middle numbers in the sorted list are the 3rd and 4th values: 67 and 89.
6. Calculate the median:
- Add the two middle numbers: 67 + 89 = 156.
- Then, divide the sum by 2: 156 / 2 = 78.0.
So, the median of the data set is 78.0.
1. List the values: Start with the numbers: 89, 15, 67, 148, 22, 89.
2. Sort the values: Arrange the numbers from smallest to largest: 15, 22, 67, 89, 89, 148.
3. Count the number of values: You have six numbers in the list.
4. Determine the position for the median:
- Since the number of values, 6, is even, the median will be the average of the two middle numbers.
5. Identify the middle numbers:
- The two middle numbers in the sorted list are the 3rd and 4th values: 67 and 89.
6. Calculate the median:
- Add the two middle numbers: 67 + 89 = 156.
- Then, divide the sum by 2: 156 / 2 = 78.0.
So, the median of the data set is 78.0.