A teacher observes the marks of the five students of the class She observes the median and mean each...........

Quantitative Aptitude (CDS) Statistics

A teacher observes the marks of the five students of the class. She observes the median and mean each to be 5 but the only mode is 8. What is the lowest marks obtained?

Can’t be determined

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Explanation:

Let the marks of the students in ascending order be a,b,c,d,e
a+b+c+d+e=5*5=25
Median=5
c=5
Mode=8
d and e each is equal to 8 because if there are more than 2 8’s the sum becomes more than 25
a+b+5+8+8=25 a+b=4
The answers can be a=1 and b=3 or a=0 and b=4
Hence, the answer is can’t be determined. a=b=2 cannot be possible because there is only one mode