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:
- $45,000
- $49,000
- $58,000
- $59,000
- $62,000
- $67,000
- $68,000
- $70,000
- $78,000
- $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.
1 answer