Question

question #5
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
85
83
82
69

Explanation:

Step1: Sort the scores

First, sort the scores in ascending order: \(58,62,63,66,68,70,71,79,81,82\)

Step2: Find the median

Since there are \(n = 10\) (even number of data points), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+1)\)th values. \(\frac{n}{2}=5\) and \(\frac{n}{2}+1 = 6\). The 5th value is \(68\) and the 6th value is \(70\). The median is \(\frac{68 + 70}{2}=\frac{138}{2}=69\)

Answer:

69