Question
Find the mean and range.
18 23 10 39 22 17 16 15
mean = 18.1; range = 28
mean = 21.9; range = 29
mean = 20; range = 32
mean = 20; range = 29
18 23 10 39 22 17 16 15
mean = 18.1; range = 28
mean = 21.9; range = 29
mean = 20; range = 32
mean = 20; range = 29
Answers
GPT-4o mini
To calculate the mean and range of the given set of numbers \(18, 23, 10, 39, 22, 17, 16, 15\), let's start with the calculations:
### Step 1: Calculate the Mean
1. **Add all the numbers together**:
\[
18 + 23 + 10 + 39 + 22 + 17 + 16 + 15 = 150
\]
2. **Count the numbers**:
There are 8 numbers in total.
3. **Divide the sum by the count of numbers**:
\[
\text{Mean} = \frac{150}{8} = 18.75
\]
### Step 2: Calculate the Range
1. **Find the maximum and minimum values**:
- Maximum: 39
- Minimum: 10
2. **Calculate the range**:
\[
\text{Range} = \text{Maximum} - \text{Minimum} = 39 - 10 = 29
\]
### Summary of Results
- Mean: \(18.75\)
- Range: \(29\)
### Conclusion
Among the options provided, the only correct statement is:
- **Mean = 20; range = 29** (indicating that the mean calculation is incorrect with the mean of 18.75).
None of the provided options match the mean calculated. If you check again, you might confirm that the **correct answer is "mean = 18.75; range = 29"** but that specific option doesn't exist in your choices. Please verify the numbers or choices given.
### Step 1: Calculate the Mean
1. **Add all the numbers together**:
\[
18 + 23 + 10 + 39 + 22 + 17 + 16 + 15 = 150
\]
2. **Count the numbers**:
There are 8 numbers in total.
3. **Divide the sum by the count of numbers**:
\[
\text{Mean} = \frac{150}{8} = 18.75
\]
### Step 2: Calculate the Range
1. **Find the maximum and minimum values**:
- Maximum: 39
- Minimum: 10
2. **Calculate the range**:
\[
\text{Range} = \text{Maximum} - \text{Minimum} = 39 - 10 = 29
\]
### Summary of Results
- Mean: \(18.75\)
- Range: \(29\)
### Conclusion
Among the options provided, the only correct statement is:
- **Mean = 20; range = 29** (indicating that the mean calculation is incorrect with the mean of 18.75).
None of the provided options match the mean calculated. If you check again, you might confirm that the **correct answer is "mean = 18.75; range = 29"** but that specific option doesn't exist in your choices. Please verify the numbers or choices given.