Question

Find the median and mean of the data set below:
36, comma, 39, comma, 39, comma, 47, comma, 41, comma, 50, comma, 0
36,39,39,47,41,50,0

Answer 1

To find the mean and median of the data set \( \{36, 39, 39, 47, 41, 50, 0\} \), we will first sort the values and then calculate both metrics.

### Step 1: Sort the Data
The sorted data set is:
\[ 0, 36, 39, 39, 41, 47, 50 \]

### Step 2: Find the Median
The median is the middle value of a sorted data set. Since there are 7 values (an odd number), the median is the value at the position:
\[
\text{Median position} = \frac{7 + 1}{2} = 4
\]
The 4th value in the sorted list is 39.

Thus, the median is:
**Median = 39**

### Step 3: Find the Mean
To calculate the mean, we sum all the values and divide by the number of values.
\[
\text{Sum} = 0 + 36 + 39 + 39 + 41 + 47 + 50 = 252
\]
Number of values = 7.

Now, calculate the mean:
\[
\text{Mean} = \frac{\text{Sum}}{\text{Number of values}} = \frac{252}{7} = 36
\]

Thus, the mean is:
**Mean = 36**

### Summary
- **Median**: 39
- **Mean**: 36