Math Problem Statement
Solution
Let’s solve the two questions based on the provided salaries.
The salaries of the 10 employees are:
- 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
1. Mean Salary Calculation:
The mean (average) is found by summing all the salaries and dividing by the number of employees.
So, the mean salary is $64,000.
2. Median Salary Calculation:
To find the median, we first arrange the salaries in ascending order:
Since there are 10 values (even number), the median will be the average of the 5th and 6th salaries.
So, the median salary is $64,500.
Answer Choices:
- Mean: $64,000
- Median: $64,500
Thus, the correct answer to select is:
"Mean: $64,000, Median: $64,500"
Do you need further clarifications?
Here are 5 related questions for practice:
- What does the mean tell you about the data distribution?
- What happens to the mean if the highest salary increases by $10,000?
- Why is the median a better measure when there are outliers?
- What is the range of the salaries in this list?
- How would the mode be useful in this dataset?
Tip: Use the median when you want to minimize the effect of extreme values in the dataset.
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Math Problem Analysis
Mathematical Concepts
Mean Calculation
Median Calculation
Formulas
Mean = (Sum of all values) / (Number of values)
Median for even set = (Middle value 1 + Middle value 2) / 2
Theorems
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Suitable Grade Level
Grades 7-9