Question

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

Answer 1

Find the median and mean of the data set below:
14,26,46,42,32

Answer 2

To find the median and mean of the given data set: 33, 28, 46, 41, 9, 14, we will follow these steps:

### Step 1: Sort the Data
First, we sort the data in ascending order:
9, 14, 28, 33, 41, 46

### Step 2: Calculate the Median
The median is the middle value of a data set. Since there are 6 numbers (an even count), the median will be the average of the two middle numbers.

The middle numbers are the 3rd and 4th values in the sorted list:
- 3rd value: 28
- 4th value: 33

Calculating the median:
\[
\text{Median} = \frac{28 + 33}{2} = \frac{61}{2} = 30.5
\]

### Step 3: Calculate the Mean
The mean is calculated by summing all the numbers and then dividing by the count of numbers.

Sum of the numbers:
\[
9 + 14 + 28 + 33 + 41 + 46 = 171
\]

Count of numbers: 6

Calculating the mean:
\[
\text{Mean} = \frac{171}{6} = 28.5
\]

### Summary
- **Median**: 30.5
- **Mean**: 28.5

Answer 3

To find the median and mean of the given data set: 14, 26, 46, 42, 32, we will follow these steps:

### Step 1: Sort the Data
First, we sort the data in ascending order:
14, 26, 32, 42, 46

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

In this case, the middle number (3rd value) is:
- 3rd value: 32

So, the median is:
\[
\text{Median} = 32
\]

### Step 3: Calculate the Mean
The mean is calculated by summing all the numbers and then dividing by the count of numbers.

Sum of the numbers:
\[
14 + 26 + 32 + 42 + 46 = 160
\]

Count of numbers: 5

Calculating the mean:
\[
\text{Mean} = \frac{160}{5} = 32
\]

### Summary
- **Median**: 32
- **Mean**: 32