The median score on a test is 90. Is it possible to add two more scores to the data and still have a median score of 90?
Since the median is the 50th percentile, any two scores — one above the median and one below — can be added without changing the median (e.g., 5 and 105).
I believe the two numbers would have to be the same distance from 90 on either side.
Like 89 90 91 . 90 is the median
Like 89.5 90 90.5 . 90 is still the median
Yes. Because if you add the two numbers on to the table the number woudn't change one bit. That is why I think it would stay the same
To determine if it is possible to add two more scores and still have a median score of 90, we need to understand how the median is calculated.
The median is the middle value in a set of data when the numbers are arranged in increasing or decreasing order. If there is an odd number of data points, the median is the middle value. If there is an even number of data points, the median is the average of the two middle values.
In this case, let's assume that there are an odd number of data points in the set, since the median is given as 90. This means that there is already a middle value in the data set.
If you were to add two more scores, they would have to be lower than the median of 90 in order to keep the median at 90. This is because adding higher scores would push the middle value higher, resulting in a new median that is greater than 90.
Therefore, it is possible to add two more scores to the data and still have a median score of 90, as long as those additional scores are lower than 90.