Laura will have seven test scores at the end of the semester. Each of the scores is a positive integer less than or equal to $100$. Her first five scores are $80, 83, 87, 94$ and $96$. How many different values are possible for the median of her seven scores?

Question

Mathematics

Teagan Harper

26 June, 22:20

Laura will have seven test scores at the end of the semester. Each of the scores is a positive integer less than or equal to $100$. Her first five scores are $80, 83, 87, 94$ and $96$. How many different values are possible for the median of her seven scores?

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Answers (1)

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Kendal Haynes · Answer 1

2 different scores

Step-by-step explanation:

The first thing we must do is define what the average is, which would be the value of half. This means that the average of 7 scores would be adding 2 more scores than the 5 we already have.

It does not matter if they are greater or less than those that already exist, they should only be equal to or less than 100 (also integers) and therefore the mean would be the 4th value of those 7 scores after organizing them from highest to lowest.