What number can be removed from the following list of data so that the median will remain the same?
40, 28, 29, 32, 16, 40, 35
A.
28
B.
32
C.
35
D.
40
Nooooo
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To find the number that can be removed from the list so that the median remains the same, we need to first determine the current median of the data set. The median is the middle value when the data set is arranged in ascending or descending order.
So let's arrange the numbers in ascending order:
16, 28, 29, 32, 35, 40, 40
Since we have an odd number of data points (7 in this case), the median is the middle value, which is 32.
Now, let's consider each option and see how removing that number would affect the median:
Option A: Removing 28
If we remove 28 from the list, the new list becomes:
16, 29, 32, 35, 40, 40
The median of this new list is 32, which is the same as the original median. So option A is a possible answer.
Option B: Removing 32
If we remove 32 from the list, the new list becomes:
16, 28, 29, 35, 40, 40
The median of this new list is 29, which is not the same as the original median. So option B is not the correct answer.
Option C: Removing 35
If we remove 35 from the list, the new list becomes:
16, 28, 29, 32, 40, 40
The median of this new list is 32, which is the same as the original median. So option C is a possible answer.
Option D: Removing 40
If we remove 40 from the list, the new list becomes:
16, 28, 29, 32, 35, 40
The median of this new list is 29, which is not the same as the original median. So option D is not the correct answer.
Therefore, the answer is either option A (removing 28) or option C (removing 35). Both options will result in the same median.