What is y if the median of the data is 13?Data: 7, 2, y, 15, 20, 8, 14, 29*1 point11121314NONE OF THESE
Question
What is y if the median of the data is 13?
Data: 7, 2, y, 15, 20, 8, 14, 29
1 point
- 11
- 12
- 13
- 14
- NONE OF THESE
Solution
To find the median of a data set, you first need to arrange the data in ascending order. Then, the median is the number that falls exactly in the middle of the set. If the set has an even number of observations, the median is the average of the two middle numbers.
Given the data set: 7, 2, y, 15, 20, 8, 14, 29
First, let's arrange the known numbers in ascending order: 2, 7, 8, 14, 15, 20, 29
We know that the median is 13. Since there are 7 numbers in the data set, the median is the fourth number.
In the sorted list, the fourth number is 14. But we know that the median is 13, which is less than 14. Therefore, y must be less than 14 and greater than 8 to be the fourth number in the sorted list.
So, the answer is "NONE OF THESE" because none of the provided options (11, 12, 13, 14) would make y the fourth number in the sorted list while also making the median 13.
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