Question

the sample mean for the number of years worked is
10 years round your answers to the nearest integer
. and
% of the employees in the sample worked for the company for at least

Explanation:

Step1: Calculate the sum of years worked

Add all the values: \(13 + 23+15 + 15+13 + 17+3 + 10+3 + 29+26 + 4+12 + 4+28 + 13\)

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Step2: Calculate the number of data points

Count the number of values. There are \(n = 16\) values.

Step3: Calculate the sample mean

The formula for the sample mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Substitute \(\sum_{i=1}^{n}x_{i}=228\) and \(n = 16\)
\(\bar{x}=\frac{228}{16}=14.25\approx14\) (rounded to the nearest integer)

Step4: Calculate the percentage of employees who worked at least 10 years

Count the number of values \(\geq10\). The values are \(13,23,15,15,13,17,10,29,26,12,28,13\). There are \(m = 12\) such values.
The percentage \(P=\frac{m}{n}\times100=\frac{12}{16}\times100 = 75\%\)

Answer:

The sample mean is \(14\) years and \(75\%\) of the employees in the sample worked for the company for at least 10 years.