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