SOLUTION: I need help with these problems i got them wrong on my quizz: pROBLEM #1 In 2002, eleven state governors earned at least $124, 000 annually (not counting expense allowances) as

Question 87989: I need help with these problems i got them wrong on my quizz:
pROBLEM #1
In 2002, eleven state governors earned at least $124, 000 annually (not counting expense allowances) as listed below. (Salaries are given in thousands of dollars and are arounded to the nearest $1000).*
State & Salary
California $175
Georgia $127
Illinois $150
Massachusetts $135
Michigan $177
New Mexico $150
New York $ 179
Pennsylvania $142
Vermont $125
Virginia $125
Washington $142

a)
Find the mean salary of these governors. Which states
have the governor with the salary closest to the mean?
b) Find the standard deviation for the data.
c) What percent of the governors have salaries within 1
standard deviation of the mean?
d) What percent of the governors have salaries within 3
standard deviations of the mean?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
pROBLEM #1
In 2002, eleven state governors earned at least $124, 000 annually (not counting expense allowances) as listed below. (Salaries are given in thousands of dollars and are arounded to the nearest $1000).*
State & Salary
California $175
Georgia $127
Illinois $150
Massachusetts $135
Michigan $177
New Mexico $150
New York $ 179
Pennsylvania $142
Vermont $125
Virginia $125
Washington $142
a)
Find the mean salary of these governors.
Answer: Add the numbers and divide by 11 to get $147.91
Which states have the governor with the salary closest to the mean?
I'll let you answer that.
---------------
b) Find the standard deviation for the data.
Answer: Use your TI calculator to get 20.686
-------------
c) What percent of the governors have salaries within 1
standard deviation of the mean?
Answer: Count the number and divide by 11 to get the per cent.
------------
d) What percent of the governors have salaries within 3
standard deviations of the mean?
Answer: Same procedure
--------------
Cheers,
Stan H.

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