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Is the standard deviation of the salaries of Company Y’s employees greater than the standard deviation of the salaries of Company Z’s employees?

(1) The average (arithmetic mean) salary of Company Y’s employees is greater than the average salary of Company Z’s employees.
(2) The median salary of Company Y’s employees is greater than the median salary of Company Z’s employees.


E. we need number of emplyoees and their salary dist.
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gluon
Is the standard deviation of the salaries of Company Y’s employees greater than the standard deviation of the salaries of Company Z’s employees?

(1) The average (arithmetic mean) salary of Company Y’s employees is greater than the average salary of Company Z’s employees.

(2) The median salary of Company Y’s employees is greater than the median salary of Company Z’s employees.



E.

Std Deviation is essentially the distance from the mean. It can also be somewhat thought of as the spread between the various numbers.


Ex/ 1,2,3,4,5. Mean is 3, and so is the median. STD is equal to 1.

There is a very tedious method to figure out the std deviation, buts its unlikely ul be tested on it.

For S1: this doesnt tell us the std dev's are different.

S2: same thing.


For both and for either statement you can make up two sets:

Set Y and Set Z

Y: 2,3,4,5,6

Z: 1,2,3,4,5. Both mean and median are greater in set Y. But std deviation is the same.

You can create many sets where the std D is different.
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Is the standard deviation of the salaries of Company Y’s employees greater than the standard deviation of the salaries of Company Z’s employees?

To calculate the standard deviation we need the mean and each of the values in the set.

(1) The average (arithmetic mean) salary of Company Y’s employees is greater than the average salary of Company Z’s employees.
We don't have information on the salary values of the companies.
(2) The median salary of Company Y’s employees is greater than the median salary of Company Z’s employees.
We don't have information on the mean salaries of the companies.

We don't have useful information from either statement individually or combined. E
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