Question

Find the median and mean of the data set below:
33, comma, 28, comma, 46, comma, 41, comma, 9, comma, 14
33,28,46,41,9,14

Answer 1

To find the median and mean of the data set: 33, 28, 46, 41, 9, 14, we first need to organize the data.

1. **Order the data set:**
- First, we sort the numbers in ascending order:
- 9, 14, 28, 33, 41, 46

2. **Calculate the median:**
- Since there are 6 numbers in the data set (an even number), the median will be the average of the two middle numbers.
- The two middle numbers are the 3rd and 4th numbers in the ordered set (28 and 33).
- Median = (28 + 33) / 2 = 61 / 2 = 30.5

3. **Calculate the mean:**
- To find the mean, we sum all the numbers and divide by the number of values.
- Sum: 9 + 14 + 28 + 33 + 41 + 46 = 171
- Number of values: 6
- Mean = Sum / Number of values = 171 / 6 = 28.5

**Results:**
- Median: 30.5
- Mean: 28.5