Question
The following dot plots show the amount of time it takes each person, in a random sample, to complete two similar problems. What is the mean time for each problem? Make a comparative inference based on the mean values.
Problem 1
24
25
26
27
28
29
30
31
32
33
34
Time (Minutes)
x y graph
Problem 2
24
25
26
27
28
29
30
31
32
33
34
Time (Minutes)
x y graph
Question content area bottom
Part 1
The mean time for Problem 1 is
enter your response here minutes.
(Type an integer or a decimal.)
Problem 1
24
25
26
27
28
29
30
31
32
33
34
Time (Minutes)
x y graph
Problem 2
24
25
26
27
28
29
30
31
32
33
34
Time (Minutes)
x y graph
Question content area bottom
Part 1
The mean time for Problem 1 is
enter your response here minutes.
(Type an integer or a decimal.)
Answers
GPT-4o mini
To calculate the mean time for each problem based on the given dot plots, we need to sum the times and divide by the number of values. Since we don't have the exact frequency data from the dot plots for Problems 1 and 2, let's assume that you are able to gather that information or you have the following values for both problems based on their frequency.
### Problem 1 Data Points
Assuming you have the following times listed from the dot plot:
- 24 (1 time)
- 25 (1 time)
- 26 (1 time)
- 27 (1 time)
- 28 (1 time)
- 29 (1 time)
- 30 (1 time)
- 31 (1 time)
- 32 (1 time)
- 33 (1 time)
- 34 (1 time)
This totals 11 times.
Calculating the mean for Problem 1:
\[
\text{Mean} = \frac{\text{Sum of Time}}{\text{Number of Values}} = \frac{24 + 25 + 26 + 27 + 28 + 29 + 30 + 31 + 32 + 33 + 34}{11}
\]
\[
= \frac{24 + 25 + 26 + 27 + 28 + 29 + 30 + 31 + 32 + 33 + 34}{11} = \frac{ 351 }{ 11 } \approx 31.00 \text{ minutes}
\]
### Problem 2 Data Points
Assuming Problem 2 had the same times:
- 24 (1 time)
- 25 (1 time)
- 26 (1 time)
- 27 (1 time)
- 28 (1 time)
- 29 (1 time)
- 30 (1 time)
- 31 (1 time)
- 32 (1 time)
- 33 (1 time)
- 34 (1 time)
Calculating the mean for Problem 2:
\[
\text{Mean} = \frac{24 + 25 + 26 + 27 + 28 + 29 + 30 + 31 + 32 + 33 + 34}{11}
\]
\[
= \frac{351}{11} = 31.00 \text{ minutes}
\]
### Conclusion
If the mean times for both Problem 1 and Problem 2 are the same (approximately 31 minutes), we might conclude that the average completion time for both problems is similar.
However, if the dot plots or other data are actually different (i.e., different values or frequencies), you will need to use that specific data to calculate the mean for each problem. Make sure to adjust the calculation based on the specific values you have!
### Problem 1 Data Points
Assuming you have the following times listed from the dot plot:
- 24 (1 time)
- 25 (1 time)
- 26 (1 time)
- 27 (1 time)
- 28 (1 time)
- 29 (1 time)
- 30 (1 time)
- 31 (1 time)
- 32 (1 time)
- 33 (1 time)
- 34 (1 time)
This totals 11 times.
Calculating the mean for Problem 1:
\[
\text{Mean} = \frac{\text{Sum of Time}}{\text{Number of Values}} = \frac{24 + 25 + 26 + 27 + 28 + 29 + 30 + 31 + 32 + 33 + 34}{11}
\]
\[
= \frac{24 + 25 + 26 + 27 + 28 + 29 + 30 + 31 + 32 + 33 + 34}{11} = \frac{ 351 }{ 11 } \approx 31.00 \text{ minutes}
\]
### Problem 2 Data Points
Assuming Problem 2 had the same times:
- 24 (1 time)
- 25 (1 time)
- 26 (1 time)
- 27 (1 time)
- 28 (1 time)
- 29 (1 time)
- 30 (1 time)
- 31 (1 time)
- 32 (1 time)
- 33 (1 time)
- 34 (1 time)
Calculating the mean for Problem 2:
\[
\text{Mean} = \frac{24 + 25 + 26 + 27 + 28 + 29 + 30 + 31 + 32 + 33 + 34}{11}
\]
\[
= \frac{351}{11} = 31.00 \text{ minutes}
\]
### Conclusion
If the mean times for both Problem 1 and Problem 2 are the same (approximately 31 minutes), we might conclude that the average completion time for both problems is similar.
However, if the dot plots or other data are actually different (i.e., different values or frequencies), you will need to use that specific data to calculate the mean for each problem. Make sure to adjust the calculation based on the specific values you have!