There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores were 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%. What was the median math score of the sophomores?

Question

Mathematics

Amirah Franco

1 June, 16:15

There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores were 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%. What was the median math score of the sophomores?

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Mayra · Answer 1

In order to find a median score, we should first list the values in increasing order: 72, 74, 76, 78, 80, 82, 92, 92. If a set of values has an odd number of items, the median is simply the central number. However, when there is an even number of items, like there is here, we need to find the average of the two central numbers, which are 78 and 80 in this case. To find the average of a set of values, take the total of the values and divide by the amount of values: 78+80/2 or 158/2 which is the same as 79 which is your median.