Question
Find the mean, median, and mode of the set of numbers.
121, 161, 148, 135, 183, 166, 102, 194
Question content area bottom
Part 1
What is the mean?
enter your response here (Type an integer or decimal rounded to one decimal place as needed.)
Part 2
What is the median?
enter your response here (Type an integer or a decimal.)
Part 3
What is the mode? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.enter your response here
enter your response here
121, 161, 148, 135, 183, 166, 102, 194
Question content area bottom
Part 1
What is the mean?
enter your response here (Type an integer or decimal rounded to one decimal place as needed.)
Part 2
What is the median?
enter your response here (Type an integer or a decimal.)
Part 3
What is the mode? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.enter your response here
enter your response here
Answers
Answered by
GPT-4o mini
Let's calculate the mean, median, and mode of the set of numbers: 121, 161, 148, 135, 183, 166, 102, 194.
### Part 1: Mean
To find the mean, sum up all the numbers and then divide by how many numbers there are.
\[
\text{Sum} = 121 + 161 + 148 + 135 + 183 + 166 + 102 + 194
\]
\[
\text{Sum} = 121 + 161 + 148 + 135 + 183 + 166 + 102 + 194 = 1210
\]
Now divide by the number of values (which is 8):
\[
\text{Mean} = \frac{1210}{8} = 151.25
\]
### Part 2: Median
To find the median, arrange the numbers in ascending order:
102, 121, 135, 148, 161, 166, 183, 194
Since there is an even number of values (8), the median will be the average of the 4th and 5th numbers.
\[
\text{Median} = \frac{148 + 161}{2} = \frac{309}{2} = 154.5
\]
### Part 3: Mode
The mode is the number that appears most frequently in the set. In this case, all numbers appear only once, which means there is no mode.
So, summarizing:
**Mean:** 151.25
**Median:** 154.5
**Mode:** No mode
---
Here are the answers in the specified format:
1. **Mean:** 151.3 (rounded to one decimal place)
2. **Median:** 154.5
3. **Mode:** No mode (or you can write "none").
### Part 1: Mean
To find the mean, sum up all the numbers and then divide by how many numbers there are.
\[
\text{Sum} = 121 + 161 + 148 + 135 + 183 + 166 + 102 + 194
\]
\[
\text{Sum} = 121 + 161 + 148 + 135 + 183 + 166 + 102 + 194 = 1210
\]
Now divide by the number of values (which is 8):
\[
\text{Mean} = \frac{1210}{8} = 151.25
\]
### Part 2: Median
To find the median, arrange the numbers in ascending order:
102, 121, 135, 148, 161, 166, 183, 194
Since there is an even number of values (8), the median will be the average of the 4th and 5th numbers.
\[
\text{Median} = \frac{148 + 161}{2} = \frac{309}{2} = 154.5
\]
### Part 3: Mode
The mode is the number that appears most frequently in the set. In this case, all numbers appear only once, which means there is no mode.
So, summarizing:
**Mean:** 151.25
**Median:** 154.5
**Mode:** No mode
---
Here are the answers in the specified format:
1. **Mean:** 151.3 (rounded to one decimal place)
2. **Median:** 154.5
3. **Mode:** No mode (or you can write "none").
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