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Acompanyhas14employeeswithasalaryof$21,000,11employeeswithasalaryof$23,800,18employeeswithasalaryof$26,300,four withasalaryof$32,000,fivewithasalaryof$39,500,andonewithasalaryof$145,700.Findthefollowingforsalarymadebyemployeesofthecompany:a)Mean b)Median c)Moded) Inafullsentence,explainwhatthisinformationtellsyouaboutwhatmoneymadebyemployeesofthecompany actuallymeansabouteachindividualemployee.

User Marcos Meli
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1 Answer

27 votes
27 votes

The company has different staff with different salaries scale

No of employees Salary

14 $21,000

11 $23,800

18 $26,300

4 $32,000

5 $39,500

1 $145,700

To find mean

Mean = summation of salary x no of employees / Total number of employees


\operatorname{mean}\text{ = }\frac{14\text{ x 21,000 + 11 x 23,800 + 18 x 26,300 + 4 x 32,000 + 5 x 39,500 + 1 x 145,700}}{14\text{ + 11 + 18 + 4 + 5 + 1}}

14 x 21000 = 294, 000

11 x 23,800 = 261,800

18 x 26,300 = 473,400

4 x 32,000 = 128,000

5 x 39,500 = 197,500

1 x 145,700= 145,700

Frequency = 14 + 11 + 18 + 4 + 5 + 1

Frequency = 53


\begin{gathered} \operatorname{mean}\text{ =}\frac{294,000\text{ + 261,800 + 473, 400 + 128,000 + 197,500 + 145700}}{53} \\ \operatorname{mean}\text{ = }\frac{1,\text{ 500, 400}}{53} \\ \text{Mean = 28,309.43} \end{gathered}

Mean = 28, 309.43

Mode is the highest number of employees salaries that appear most

From the table, The highest number is 18

18 number of the employees received 26, 300

The mode is $26,300

To calculate the median

Firstly, get the total number of employees in the company

The total number = 14 + 18 + 11 + 4 + 5 + 1

Total number of employees = 53

Median = total number + 1 / 2

Median = 53 + 1 /2

Median = 54/2

Median = 27th position

This implies fall between the 27th position of the employee

The median is $26, 300

User Erkin
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