Question

Find the median and mean of the data set below:
16, comma, 27, comma, 24, comma, 13, comma, 15, comma, 2, comma, 50
16,27,24,13,15,2,50

Answer 1

To find the median and mean of the data set \(16, 27, 24, 13, 15, 2, 50\), we will follow these steps:

### Step 1: Arrange the data in ascending order

The original data set is:
\[
16, 27, 24, 13, 15, 2, 50
\]

Arranging it in ascending order:
\[
2, 13, 15, 16, 24, 27, 50
\]

### Step 2: Calculate the Median

The median is the middle value of an ordered data set. Since there are 7 values (an odd number), the median will be the 4th number in this ordered list.

Ordered data:
\[
2, 13, 15, **16**, 24, 27, 50
\]

**Median = 16**

### Step 3: Calculate the Mean

The mean is calculated by summing all the numbers and then dividing by the total number of values.

Sum of the values:
\[
2 + 13 + 15 + 16 + 24 + 27 + 50 = 147
\]

Number of values:
\[
7
\]

Mean:
\[
\text{Mean} = \frac{\text{Sum of values}}{\text{Number of values}} = \frac{147}{7} = 21
\]

### Summary

- **Median = 16**
- **Mean = 21**