Listed below are the salaries, in $000, for a sample of 15 chief financial officers in the electronics industry. $ 516.0 $ 548.0 $ 566.0 $ 534.0 $ 586.0 $ 529.0 546.0 523.0 538.0 523.0 551.0 552.0 486.0 558.0 574.0 Click here for the Excel Data File Determine the mean, median, and the standard deviation.

Respuesta :

Answer:

Mean = $542.00

Median = $546.00

Standard deviation = $25.08

Step-by-step explanation:

Mean

[tex]\bar x=\frac{516+548+566+534+586+529+546+523+538+523+551+552+486+558+574}{15}\\\Rightarrow \bar x=542[/tex]

Mean = $542.00

Median

Arrange all numbers in ascending order

486 516 523 523 529 534 538 546 548 551 552 558 566 574 586

Here the number of elements is odd so the middle one is picked.

So, median is $546.00

Standard deviation

[tex]s=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}(x_i-\bar{x})^2}\\\Rightarrow s=\sqrt{\frac{676+36+576+64+1936+169+16+361+16+361+81+100+3136+256+1024}{15-1}}\\\Rightarrow s=25.08[/tex]

∴ Standard deviation is $25.08

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