Questions: QUESTION 10 - 1 POINT Find the median for the following set of data: 13,26,35,44,38,12,47,13,36 Provide your answer below: Median =

Transcript text: QUESTION 10 - 1 POINT Find the median for the following set of data: \[ 13,26,35,44,38,12,47,13,36 \] Provide your answer below: Median $=$ $\square$ Content attribution

Solution

Solution Steps

To find the median of a dataset, first sort the data in ascending order. If the number of data points is odd, the median is the middle number. If the number of data points is even, the median is the average of the two middle numbers.

Step 1: Sort the Data

First, we sort the given dataset in ascending order. The original dataset is: \[ 13, 26, 35, 44, 38, 12, 47, 13, 36 \]

After sorting, the dataset becomes: \[ 12, 13, 13, 26, 35, 36, 38, 44, 47 \]

Step 2: Determine the Number of Data Points

Count the number of data points in the sorted dataset. Here, the number of data points $ n $ is 9, which is an odd number.

Step 3: Find the Median

Since the number of data points is odd, the median is the middle number in the sorted list. The middle index is given by: \[ \text{Middle index} = \frac{n - 1}{2} = \frac{9 - 1}{2} = 4 \]

Thus, the median is the value at index 4 in the sorted list, which is 35.