Question

question #1
find the median of the data set:
18, 36, 24, 36, 30 and 36
30
33
36
35
question #2
find the median of the following data set:
10, 20, 30, 40, 50, 60, 70, 80, 90
55
45
40
50

Explanation:

Step1: Sort the data set

For Question #1: Sort \(18,36,24,36,30,36\) as \(18,24,30,36,36,36\).
For Question #2: The data set \(10,20,30,40,50,60,70,80,90\) is already sorted.

Step2: Calculate the median

For Question #1: Since \(n = 6\) (even), median \(=\frac{30 + 36}{2}=\frac{66}{2}=33\).
For Question #2: Since \(n = 9\) (odd), median is the \(\frac{n + 1}{2}=\frac{9+1}{2}=5^{th}\) term. The \(5^{th}\) term of \(10,20,30,40,50,60,70,80,90\) is \(50\).

Answer:

Question #1: \(33\)
Question #2: \(50\)