Question

question #10
what is the median score achieved by a student who received the following scores on 10 math quizzes?
68 66 70 62 71 58 81 82 63 79
saved 70
68
69
71

Explanation:

Step1: Sort the scores

$58,62,63,66,68,70,71,79,81,82$

Step2: Find the middle - two numbers

Since there are $n = 10$ (an even number of data points), the middle - two numbers are the $\frac{n}{2}=5$th and $\frac{n}{2}+1 = 6$th ordered values. The 5th value is $68$ and the 6th value is $70$.

Step3: Calculate the median

Median=$\frac{68 + 70}{2}=\frac{138}{2}=69$

Answer:

69