Find the median and mean of the data set below:

Question

43, comma, 49, comma, 6, comma, 5, comma, 9
43,49,6,5,9

Answer 1

To find the median and mean of the given data set \( {43, 49, 6, 5, 9} \), we will follow these steps:

Step 1: Organize the Data

First, let's arrange the data in ascending order: \[ 5, 6, 9, 43, 49 \]

Step 2: Find the Median

The median is the middle number in a sorted list. Since there are 5 numbers (an odd count), the median is the third number:

• Median: \( 9 \)

Step 3: Find the Mean

The mean is calculated by adding all the numbers together and dividing by the count of the numbers.

1. Calculate the sum: \[ 5 + 6 + 9 + 43 + 49 = 112 \]

2. Divide by the number of data points (5): \[ \text{Mean} = \frac{112}{5} = 22.4 \]

Summary of Results

• Median: \( 9 \)
• Mean: \( 22.4 \)