What is the variance of the following data? If necessary, round your answer to two decimal places.
6, 7, 10, 11, 11, 13, 16, 18, 25

31.11
32.56
33.89
34.90

Question

What is the variance of the following data? If necessary, round your answer to two decimal places.
6, 7, 10, 11, 11, 13, 16, 18, 25
 	
	31.11
	32.56
	33.89
	34.90

anonymous · Answer

can someone explain to me how to do this

paki · Answer

do you know, how to do this,...?

anonymous · Answer

nope not at all

paki · Answer

IST step... 

Calculate the mean of the data. Add up all the numbers and divide by the total number of data points.

anonymous · Answer

i got 13

paki · Answer

ok... 

STEP 2...


Subtract the mean from each data point (or the other way around, if you prefer... you will be squaring this number, so it does not matter if it is positive or negative).

paki · Answer

like 

(6 - 13)2 = (7)2 = 49.... got it... 
do this for all....

paki · Answer

@King.Liang  are you getting me... :)

anonymous · Answer

yes. i got 49, 36, 9, 9, 0, 9, 25, 144

paki · Answer

are these values correct...?

anonymous · Answer

yes. i got these by doing what you told me to do

paki · Answer

ok... 

STEP 3... 

Calculate the mean of the squared differences.

paki · Answer

like 49, 36, 9, 9, 0, 9, 25, 144... add all and divide by the total number... ok

anonymous · Answer

i got 35.125

paki · Answer

ok.. .This value is the sample variance..

anonymous · Answer

but its not one of the answer choices. so would it be the one closest to 35.125 which is 34.90?

paki · Answer

yeah, round your answer to the nearest decimal places...

that is the procedure for finding the variance...

anonymous · Answer

okay thank you so much!

paki · Answer

pleasure...