In a test the mean mark of four students was 61. the median was 60 and the mode was 27.
what was the highest score?
the mean of 61 means there were 244 total points
The mode of 27 means that 27 occurred twice
so, we now know that the scores in order were 27 27 x y
Since the mean is greater than 27, x > 27, and the median means (x+27)/2 = 60, since there was an even number of scores
So, x = 93
The scores were 27 27 93 y
now we know that 27+27+93+y = 244
y = 97