Question

Find the median and mean of the data set below:
20, comma, 4, comma, 17, comma, 44, comma, 48, comma, 29
20,4,17,44,48,29
Answer

Answer 1

To find the median and mean of the data set \(20, 4, 17, 44, 48, 29\), we can follow these steps:

### Step 1: Organize the data

First, we should sort the data in ascending order:

\[ 4, 17, 20, 29, 44, 48 \]

### Step 2: Find the median

The median is the middle value of a data set. Since there are 6 numbers (an even number), the median will be the average of the two middle numbers.

The two middle numbers are the 3rd and 4th values in the sorted list:

- 3rd value: \(20\)
- 4th value: \(29\)

Now, calculate the average:

\[
\text{Median} = \frac{20 + 29}{2} = \frac{49}{2} = 24.5
\]

### Step 3: Find the mean

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

Sum of the numbers:

\[
4 + 17 + 20 + 29 + 44 + 48 = 162
\]

Count of numbers: \(6\)

Now, calculate the mean:

\[
\text{Mean} = \frac{162}{6} = 27
\]

### Final Results

- **Median**: \(24.5\)
- **Mean**: \(27\)