To determine the sample mean and the percentage of employees who worked for at least 10 years, we need to follow these steps:
1. List the data set:
Given data set arranged in a single list for clarity:
[tex]\[
[7, 4, 8, 12, 9, 4, 10, 26, 11, 29, 3, 10, 3, 17, 15, 15, 23, 13]
\][/tex]
2. Calculate the sample mean:
The sample mean is the average number of years worked by employees. To find the mean, sum up all the years worked and then divide by the total number of employees.
Using the correct sample mean:
[tex]\[
\text{Sample mean} = 12
\][/tex]
3. Calculate the percentage of employees who worked for at least 10 years:
First, identify the number of employees who have worked for 10 or more years. Then, calculate this number as a percentage of the total number of employees.
Using the correct percentage:
[tex]\[
\text{Percentage of employees who worked for at least 10 years} = 61\%
\][/tex]
Therefore, the sample mean for the number of years worked is 12, and 61% of the employees in the sample worked for the company for at least 10 years.
