Question

Find the median and mean of the data set below:
8, comma, 6, comma, 28, comma, 25, comma, 42, comma, 8, comma, 30
8,6,28,25,42,8,30
Answer
Attempt 1 out of 2

Median =   Mean =

Answer 1

To find the median and mean of the data set \(8, 6, 28, 25, 42, 8, 30\), we can follow these steps:

### 1. Find the Median

First, we need to arrange the numbers in ascending order:

\[6, 8, 8, 25, 28, 30, 42\]

Since there are 7 numbers in the data set (an odd number), the median is the middle number.

The middle number is the 4th number in the ordered list:

**Median = 25**

### 2. Find the Mean

To calculate the mean, we need to sum all the numbers and then divide by the total count of numbers.

**Sum of the numbers:**

\[6 + 8 + 8 + 25 + 28 + 30 + 42 = 147\]

**Count of numbers:**

There are 7 numbers in total.

**Mean = \(\frac{\text{Sum}}{\text{Count}} = \frac{147}{7} = 21\)**

### Final Answers

Median = 25
Mean = 21