Question

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?

Answer 1

Answer: 1.18

Step-by-step explanation:

put them from least to greatest and then since it is even you pick the two in the middle which is 78% and 80% you add them and then divide them by two.

Answer 2

Given :

Number of sophomores = 8

Scores are as follows :

82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%

To Find :

Median of 8 sophomores $Me=?$

Solution :

First we arrange in ascending order :

72%, 74%, 76%,78%, 80%, 82%, 92%, 92%

Here, N = 8 which is an even number

Now we will apply the formula of median of even number :

As we know that

$Me=\dfrac{\dfrac{N}{2}+\dfrac{N}{2}+1}{2}\\\\Me=\dfrac{\dfrac{8^{th}}{2}+\dfrac{8^{th}}{2}+1}{2}\\\\Me=\dfrac{4^{th}+5^{th}}{2}\\\\Me=\dfrac{78+80}{2}=79$

Hence, the median math score of the sophomores is 79.