Question

the scores of n = 8 math tests were 61, 96, 75, 79, 69, 86, 79, 91. what are the values for the median and quartiles? q1 = med = q3 = question help: video message instructor

Explanation:

Step1: Arrange data in ascending order

61, 69, 75, 79, 79, 86, 91, 96

Step2: Find the median (Med)

Since \(n = 8\) (even), \(Med=\frac{79 + 79}{2}=79\)

Step3: Find the lower half for \(Q_1\)

The lower - half is 61, 69, 75, 79. Since \(n = 4\) (even), \(Q_1=\frac{69+75}{2}=72\)

Step4: Find the upper half for \(Q_3\)

The upper - half is 79, 86, 91, 96. Since \(n = 4\) (even), \(Q_3=\frac{86 + 91}{2}=88.5\)

Answer:

\(Q_1 = 72\), \(Med = 79\), \(Q_3 = 88.5\)