Question
What is the mean of Sylvia’s sample?
Enter your answer and your work in the box provided.
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Assessment 1
25
GO ON
Part B
What is the mean of Alberto’s sample?
Enter your answer and your work in the box provided.
Part C
Are the means of the two samples the same? If not, would that show that somebody made
an error? Explain your reasoning.
Enter your answer and your work or explanation in the box provided.
Downloaded by S. FARSAKH at SOUTHEAST MIDDLE SCHOOL. This resource expires on 6/30/2025.
©Curriculum Associates, LLC Copying is not permitted.
Assessment 1
26
Part D
What would be a good estimate for the average number of people per household for all of the students
in the school? Explain how you got your estimate.
Enter your answer and your work or explanation in the box provided.
Enter your answer and your work in the box provided.
Downloaded by S. FARSAKH at SOUTHEAST MIDDLE SCHOOL. This resource expires on 6/30/2025.
©Curriculum Associates, LLC Copying is not permitted.
Assessment 1
25
GO ON
Part B
What is the mean of Alberto’s sample?
Enter your answer and your work in the box provided.
Part C
Are the means of the two samples the same? If not, would that show that somebody made
an error? Explain your reasoning.
Enter your answer and your work or explanation in the box provided.
Downloaded by S. FARSAKH at SOUTHEAST MIDDLE SCHOOL. This resource expires on 6/30/2025.
©Curriculum Associates, LLC Copying is not permitted.
Assessment 1
26
Part D
What would be a good estimate for the average number of people per household for all of the students
in the school? Explain how you got your estimate.
Enter your answer and your work or explanation in the box provided.
Answers
GPT-4o mini
To solve your problem, I need the actual data from Sylvia's sample and Alberto's sample to calculate the means for both. Since I do not have that information, I can explain the process you would follow to find the mean for each sample and then compare the two.
### Part A: Calculating Sylvia's Mean
1. **List the Data**: Write down all the numbers in Sylvia's sample.
2. **Sum the Data**: Add up all the numbers in the sample.
\[
\text{Sum} = \text{Value1} + \text{Value2} + \ldots + \text{ValueN}
\]
3. **Count the Numbers**: Count how many numbers are in the sample (let’s call this count \( N \)).
4. **Calculate the Mean**: Divide the sum by the count.
\[
\text{Mean} = \frac{\text{Sum}}{N}
\]
### Part B: Calculating Alberto's Mean
Repeat the same steps as above for Alberto's data.
### Part C: Comparing the Means
1. **Check the Means**: If the means for Sylvia's and Alberto's samples are not the same, it does not necessarily mean that there's an error. Different samples from the same population can yield different means due to random variability.
2. **Explain Variability**: If the samples are randomly selected, variability is expected. If there is a significant difference, you might investigate further to check the sample collection process.
### Part D: Estimating the Average Number of People per Household
To estimate the average number of people per household for the entire student population:
1. **Use Sample Means**: You might average the means of Sylvia’s and Alberto's samples to create a good estimate.
\[
\text{Estimated Mean} = \frac{\text{Mean of Sylvia's sample} + \text{Mean of Alberto's sample}}{2}
\]
2. **Rationale**: This estimate assumes both samples are representative of the entire population. The more samples you have, the more reliable your estimate can become.
Once you have the specific data for Sylvia and Alberto, simply apply the outlined steps to get your answers!
### Part A: Calculating Sylvia's Mean
1. **List the Data**: Write down all the numbers in Sylvia's sample.
2. **Sum the Data**: Add up all the numbers in the sample.
\[
\text{Sum} = \text{Value1} + \text{Value2} + \ldots + \text{ValueN}
\]
3. **Count the Numbers**: Count how many numbers are in the sample (let’s call this count \( N \)).
4. **Calculate the Mean**: Divide the sum by the count.
\[
\text{Mean} = \frac{\text{Sum}}{N}
\]
### Part B: Calculating Alberto's Mean
Repeat the same steps as above for Alberto's data.
### Part C: Comparing the Means
1. **Check the Means**: If the means for Sylvia's and Alberto's samples are not the same, it does not necessarily mean that there's an error. Different samples from the same population can yield different means due to random variability.
2. **Explain Variability**: If the samples are randomly selected, variability is expected. If there is a significant difference, you might investigate further to check the sample collection process.
### Part D: Estimating the Average Number of People per Household
To estimate the average number of people per household for the entire student population:
1. **Use Sample Means**: You might average the means of Sylvia’s and Alberto's samples to create a good estimate.
\[
\text{Estimated Mean} = \frac{\text{Mean of Sylvia's sample} + \text{Mean of Alberto's sample}}{2}
\]
2. **Rationale**: This estimate assumes both samples are representative of the entire population. The more samples you have, the more reliable your estimate can become.
Once you have the specific data for Sylvia and Alberto, simply apply the outlined steps to get your answers!