Question

find the median of:
36 21 27 16 39 4 8 26
6 33 7 11 24 31 5
median =

Explanation:

Step1: Count the number of data points

First, we count how many numbers are in the dataset. The first row has 8 numbers: 36, 21, 27, 16, 39, 4, 8, 26. The second row has 7 numbers: 6, 33, 7, 11, 24, 31, 5. So the total number of data points \( n = 8 + 7=15 \).

Step2: Sort the data in ascending order

We list all the numbers and sort them from smallest to largest:
4, 5, 6, 7, 8, 11, 16, 21, 24, 26, 27, 31, 33, 36, 39.

Step3: Find the median position

For a dataset with \( n \) values, if \( n \) is odd, the median is the value at the position \( \frac{n + 1}{2} \). Here, \( n = 15 \), so the position is \( \frac{15+ 1}{2}=\frac{16}{2} = 8 \)-th term (when counting from 1).

Step4: Identify the median

Looking at the sorted list, the 8 - th term is 21.

Answer:

21