The weekly salaries (in dollars) for  10 employees of a small business are given below.
(Note that these are already ordered from least to greatest.)
668,714 ,715 ,746 ,767 ,800 ,806,852,870,912
Find the mean and median

To find the **mean** and **median** of the weekly salaries for the 10 employees, follow these steps:

### 1. **Calculate the Mean:**
The mean is the average of the data set. You calculate it by summing all the values and dividing by the number of values.

\[
\text{Mean} = \frac{\text{Sum of all salaries}}{\text{Number of employees}}
\]

- Sum of all salaries:
\[
668 + 714 + 715 + 746 + 767 + 800 + 806 + 852 + 870 + 912 = 7850
\]

- Number of employees = 10

So, the mean salary is:
\[
\text{Mean} = \frac{7850}{10} = 785 \text{ dollars}
\]

### 2. **Calculate the Median:**
The median is the middle value when the data set is ordered. For an even number of observations, the median is the average of the two middle values.

- The data set has 10 values, so the median will be the average of the 5th and 6th values.

- The 5th value is 767 and the 6th value is 800.

So, the median salary is:
\[
\text{Median} = \frac{767 + 800}{2} = \frac{1567}{2} = 783.5 \text{ dollars}
\]

### **Summary:**
- **Mean salary**: \$785
- **Median salary**: \$783.5

Would you like any further details or explanations? Here are five related questions you might find interesting:

1. What is the mode of this salary data set?
2. How would you calculate the range of this salary data?
3. What is the impact on the mean if one salary was doubled?
4. How do outliers affect the mean and median?
5. What other statistical measures could be useful for analyzing this data?

**Tip:** The median is a better measure of central tendency when dealing with skewed data or outliers.

The weekly salaries (in dollars) for 10 employees of a small business are given below. (Note that these are already ordered from least to greatest.) 668, 714, 715, 746, 767, 800, 806, 852, 870, 912. Find the mean and median.

Learn how to calculate the mean and median of a data set with weekly salaries for 10 employees. This problem involves key statistical concepts like the mean and median and is suitable for students in Grades 6-8.

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