Question

Find the median and mean of the data set below:
31, comma, 38, comma, 35, comma, 36, comma, 3
31,38,35,36,3

Answer 1

To find the median and mean of the given data set: 31, 38, 35, 36, and 3, we will proceed as follows:

### Step 1: Arrange the data in ascending order.
The sorted data set is:
3, 31, 35, 36, 38

### Step 2: Calculate the median.
The median is the middle value in a sorted list of numbers. Since there are 5 numbers (an odd count), the median is the third number.

Median = 35

### Step 3: Calculate the mean.
The mean is calculated by adding all the numbers together and dividing by the count of the numbers.

Sum = 3 + 31 + 35 + 36 + 38 = 143

Count of numbers = 5

Mean = Sum / Count = 143 / 5 = 28.6

### Summary:
- **Median:** 35
- **Mean:** 28.6