In statistics median of a group of values or numbers is defined as the value which is in the middle of all the values when these are arranged in increasing or decreasing order. Thus there are as many values more than the median as the values that are more than the median.
When the number of values are odd there is clearly one value which has equal number of values more and less than it. This is the median value. However, when the number of values is even there is no value which has equal number of values more and less than it. In such situations, one way to calculate medians as the average of the two central values. Th value 75 calculated by you is correct as per this method.
However in the question posed, you have to choose from the given values, and the given values contain only one of the two central values. That is the option includes only 70 as a possible answer, while 80 is not included. also among the given values 70 is closest to answer of 75 calculated by the other method. Therefor, 70 appears to be the best choice among the given values.
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