Consider the following data set: 5, 6, 7, 7, 8, 9. What is the median of the data set?a.6b.7c.7.5d.8
Question
Consider the following data set: 5, 6, 7, 7, 8, 9. What is the median of the data set?
a. 6
b. 7
c. 7.5
d. 8
Solution
The median is the middle value of a data set when it is ordered in ascending or descending order. If the data set has an even number of observations, the median is the average of the two middle numbers.
Here is how you can find the median of the given data set:
- First, arrange the data set in ascending order: 5, 6, 7, 7, 8, 9.
- Since the data set has an even number of observations (6), you need to find the average of the two middle numbers.
- The two middle numbers are 7 and 7.
- The average of 7 and 7 is 7.
So, the median of the data set is 7 (option b).
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