Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.
For the 30 students who took the test, the high score was 80, the median was 75, and the low score was 40.
Given
No of students = 30
Lowest = 40
Highest = 80
Median = 75
Median is defined as the value located at the centre of the data arranged in ascending order
From the above exmaple let us assume 30 numbers are arranged in ascending order from 40 to 80
Median is the mid point of 14 and 15 value
Let it be M
So if median is 75 there should be remaining 14 values that is the right part of the median from 75 to 80
Where the set of 14 values lie towards left side of median
So there is less possibility in arranging 14 values from 75 to 80
Therefor the statement does not make sense
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