1 pt The Histogram below gives the age of incoming freshmen

(1 pt) The Histogram below gives the age of incoming freshmen students at a particular high school.
Based on the given distribution the mean is       less than the median    equal to the median    greater than the median    may fall anywhere relative to the median   

Solution

The median of the set is defined as the (n+1)the element in the case of (2n+1) elements in total or the mean of nth and (n+1)th term in the case of elements is even (2n).

The number of people in the range of 14.5-15.5 are 300 which is more than half of the population size, hence the median of this distribution will be equal to 14.75

But mean can be calculated using the above formula

Mean = (14.75 * 300 + 15.25 * x + 15.75 * y + 16.25 * z + 16.75 * a + 17.75 * b)/(300 + x + y + z + a + b)

Hence the mean will always be greater than median since the lowest value possible in the set will be equal to 14.75

Hence correct answer is the mean is greater than the median