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# Stats problem

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There are 2 cardboard boxes. Each of them has 6 tiles numbered as 1,1,2,3,3,4. Find the variance of the distribution of the expected values of getting a total of 2,3,4,5,6,7 and 8 when one picks two tiles at a single event and this event repeats for 36 times assuming the picked tiles are replaced on every repitition.

Jun 9, 2021

#1
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I really do not know but this is my best guess.

the variance is down the bottom of the 2nd diagram.

https://www.calculatorsoup.com/calculators/statistics/statistics.php

Jun 11, 2021
#2
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Yes its absolutely right, apart from the fact that I got the mean as 4.8 and when I solved it with this value I got the variance as 2.46. But I guess that minute difference can be ignored right?

amygdaleon305  Jun 11, 2021
edited by amygdaleon305  Jun 11, 2021
edited by amygdaleon305  Jun 11, 2021
#3
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I think you made a mistake when you worked out your mean

the sum of all the scores is 168, the number of scores is 36

So the average is  4.6repeater.

8+12+36+40+36+28+8 = 168

Melody  Jun 11, 2021
edited by Melody  Jun 11, 2021
#4
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Oh yeah! You're right thanks.

amygdaleon305  Jun 11, 2021