Question

the following data points represent the number of points scored by each player on the wildcats basketball team last game.
answer 2 questions about the data points.

1. sort the data from least to greatest.

12 13 5 9 4 8 5 8 8

1. find the median number of points.

□ points

Explanation:

Sub - question 1: Sort the data from least to greatest

Step 1: Identify the smallest number

Look at the data points: 12, 13, 5, 9, 4, 8, 5, 8, 8. The smallest number is 4.

Step 2: Find the next smallest numbers

After 4, the next smallest numbers are 5 (we have two 5s). Then comes 8 (we have three 8s), then 9, then 12, then 13.

Step 3: Arrange them in order

Putting them in order from least to greatest: 4, 5, 5, 8, 8, 8, 9, 12, 13.

Step 1: Check the number of data points

We have 9 data points. The formula for the position of the median in a set with \(n\) data points (when \(n\) is odd) is \(\frac{n + 1}{2}\)th term. Here, \(n=9\), so \(\frac{9+1}{2}=5\)th term.

Step 2: Identify the 5th term in the sorted data

From the sorted data (4, 5, 5, 8, 8, 8, 9, 12, 13), the 5th term is 8.

Answer:

4, 5, 5, 8, 8, 8, 9, 12, 13

Sub - question 2: Find the median number of points