Question

question 6 (1 point)
the scores for an exam in a math course are as follows:
65, 75, 60, 86, 88, 81, 92, 70
find the median.
your answer:
answer

Explanation:

Step1: Sort the data

Sort the scores in ascending order: \(60,65,70,75,81,86,88,92\)

Step2: Find the median

Since there are \(n = 8\) (even number of data points), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+1)\)th values.
\(\frac{n}{2}=\frac{8}{2} = 4\), \(\frac{n}{2}+1=4 + 1=5\)
The 4th value is \(75\) and the 5th value is \(81\)
Median\(=\frac{75 + 81}{2}=\frac{156}{2}=78\)

Answer:

\(78\)