Question
Brandon $45,000
Robert $58,000
Chloe $62,000
Andrew $59,000
David $70,000
Tanya $84,000
Rodney $49,000
Sally $67,000
Manuel $78,000
Alexis $68,000
A.Mean: $63,500
Median: $64,500
B.Mean: $65,000
Median: $67,000
C.Mean: $63,500
Median: $64,000
D.Mean: $64,000
Median: $63,500
E.Mean: $64,000
Median: $63,000
F.Mean: $63,500
Median: $62,000
G.Mean: $64,500
Median: $67,000
Best answer
Robert $58,000
Chloe $62,000
Andrew $59,000
David $70,000
Tanya $84,000
Rodney $49,000
Sally $67,000
Manuel $78,000
Alexis $68,000
A.Mean: $63,500
Median: $64,500
B.Mean: $65,000
Median: $67,000
C.Mean: $63,500
Median: $64,000
D.Mean: $64,000
Median: $63,500
E.Mean: $64,000
Median: $63,000
F.Mean: $63,500
Median: $62,000
G.Mean: $64,500
Median: $67,000
Best answer
Answers
Answered by
GPT-4o mini
To determine the mean and median of the salaries listed, we first need to calculate these values based on the provided numbers.
**Given Salaries:**
- Brandon: $45,000
- Robert: $58,000
- Chloe: $62,000
- Andrew: $59,000
- David: $70,000
- Tanya: $84,000
- Rodney: $49,000
- Sally: $67,000
- Manuel: $78,000
- Alexis: $68,000
### Step 1: Calculate the Mean
To find the mean, we sum all the salaries and then divide by the number of salaries.
**Sum of Salaries:**
\[
45,000 + 58,000 + 62,000 + 59,000 + 70,000 + 84,000 + 49,000 + 67,000 + 78,000 + 68,000 = 491,000
\]
**Number of Salaries:**
There are 10 salaries.
**Mean:**
\[
\text{Mean} = \frac{491,000}{10} = 49,100
\]
### Step 2: Calculate the Median
To find the median, we need to sort the salaries in ascending order and find the middle value(s).
**Sorted Salaries:**
1. $45,000
2. $49,000
3. $58,000
4. $59,000
5. $62,000
6. $67,000
7. $68,000
8. $70,000
9. $78,000
10. $84,000
Since there are 10 salaries (an even number), the median will be the average of the 5th and 6th values in the sorted list:
**5th Salary:** $62,000
**6th Salary:** $67,000
**Median:**
\[
\text{Median} = \frac{62,000 + 67,000}{2} = \frac{129,000}{2} = 64,500
\]
### Final Results
- **Mean:** $64,100
- **Median:** $64,500
### Conclusion
The correct answer based on these calculations should be evaluated among the options:
- A. Mean: $63,500, Median: $64,500
- B. Mean: $65,000, Median: $67,000
- C. Mean: $63,500, Median: $64,000
- D. Mean: $64,000, Median: $63,500
- E. Mean: $64,000, Median: $63,000
- F. Mean: $63,500, Median: $62,000
- G. Mean: $64,500, Median: $67,000
The closest values for the calculated Mean and Median align with **D. Mean: $64,000, Median: $63,500**.
Based on the calculations, **D** is the best option.
**Given Salaries:**
- Brandon: $45,000
- Robert: $58,000
- Chloe: $62,000
- Andrew: $59,000
- David: $70,000
- Tanya: $84,000
- Rodney: $49,000
- Sally: $67,000
- Manuel: $78,000
- Alexis: $68,000
### Step 1: Calculate the Mean
To find the mean, we sum all the salaries and then divide by the number of salaries.
**Sum of Salaries:**
\[
45,000 + 58,000 + 62,000 + 59,000 + 70,000 + 84,000 + 49,000 + 67,000 + 78,000 + 68,000 = 491,000
\]
**Number of Salaries:**
There are 10 salaries.
**Mean:**
\[
\text{Mean} = \frac{491,000}{10} = 49,100
\]
### Step 2: Calculate the Median
To find the median, we need to sort the salaries in ascending order and find the middle value(s).
**Sorted Salaries:**
1. $45,000
2. $49,000
3. $58,000
4. $59,000
5. $62,000
6. $67,000
7. $68,000
8. $70,000
9. $78,000
10. $84,000
Since there are 10 salaries (an even number), the median will be the average of the 5th and 6th values in the sorted list:
**5th Salary:** $62,000
**6th Salary:** $67,000
**Median:**
\[
\text{Median} = \frac{62,000 + 67,000}{2} = \frac{129,000}{2} = 64,500
\]
### Final Results
- **Mean:** $64,100
- **Median:** $64,500
### Conclusion
The correct answer based on these calculations should be evaluated among the options:
- A. Mean: $63,500, Median: $64,500
- B. Mean: $65,000, Median: $67,000
- C. Mean: $63,500, Median: $64,000
- D. Mean: $64,000, Median: $63,500
- E. Mean: $64,000, Median: $63,000
- F. Mean: $63,500, Median: $62,000
- G. Mean: $64,500, Median: $67,000
The closest values for the calculated Mean and Median align with **D. Mean: $64,000, Median: $63,500**.
Based on the calculations, **D** is the best option.
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