Question
11.
Find the mean and range.
18 23 10 39 22 17 16 15
Find the mean and range.
18 23 10 39 22 17 16 15
Answers
GPT-4o mini
To find the mean and range of the given set of numbers (18, 23, 10, 39, 22, 17, 16, 15), follow these steps:
### Mean:
1. **Sum the numbers**:
\[
18 + 23 + 10 + 39 + 22 + 17 + 16 + 15 = 18 + 23 = 41, \quad 41 + 10 = 51,
\quad 51 + 39 = 90, \quad 90 + 22 = 112, \quad 112 + 17 = 129, \quad 129 + 16 = 145, \quad 145 + 15 = 160
\]
The total sum is 160.
2. **Count the numbers**: There are 8 numbers in total.
3. **Calculate the mean**:
\[
\text{Mean} = \frac{\text{Total Sum}}{\text{Count}} = \frac{160}{8} = 20
\]
### Range:
1. **Identify the minimum and maximum values**:
- Minimum: 10
- Maximum: 39
2. **Calculate the range**:
\[
\text{Range} = \text{Maximum} - \text{Minimum} = 39 - 10 = 29
\]
### Summary:
- **Mean**: 20
- **Range**: 29
### Mean:
1. **Sum the numbers**:
\[
18 + 23 + 10 + 39 + 22 + 17 + 16 + 15 = 18 + 23 = 41, \quad 41 + 10 = 51,
\quad 51 + 39 = 90, \quad 90 + 22 = 112, \quad 112 + 17 = 129, \quad 129 + 16 = 145, \quad 145 + 15 = 160
\]
The total sum is 160.
2. **Count the numbers**: There are 8 numbers in total.
3. **Calculate the mean**:
\[
\text{Mean} = \frac{\text{Total Sum}}{\text{Count}} = \frac{160}{8} = 20
\]
### Range:
1. **Identify the minimum and maximum values**:
- Minimum: 10
- Maximum: 39
2. **Calculate the range**:
\[
\text{Range} = \text{Maximum} - \text{Minimum} = 39 - 10 = 29
\]
### Summary:
- **Mean**: 20
- **Range**: 29