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the table below shows a students quiz scores on six quizzes. scores 8 1…

Question

the table below shows a students quiz scores on six quizzes. scores 8 12 20 10 16 14 find this students median quiz score

Explanation:

Step1: Sort the scores

First, sort the scores in ascending order: \(8, 10, 12, 14, 16, 20\)

Step2: Find the median

Since there are \(n = 6\) (even number of data points), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+ 1)\)th values.
Here, \(\frac{n}{2}=3\) and \(\frac{n}{2}+1 = 4\)
The 3rd value is \(12\) and the 4th value is \(14\)
Median \(=\frac{12 + 14}{2}\)

$$=\frac{26}{2}=13$$

Answer:

\(13\)