Heights of men on a baseball team have a bell-shaped distribution with a mean of 175 cm and a standard deviation of 5 cm. Using the empirical rule, what is the approximate percentage of the men between the following values? (Part a and Part b, not answers choices)
a. 160 cm and 190 cm
b. 170 cm and 180 cm

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- anonymous

- katieb

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- anonymous

Have you see this before?
|dw:1442110512061:dw|

- anonymous

Yes but I'm not sure how to use it to solve the question

- anonymous

The first thing you should do is fill in the numbers at the bottom of the graph.
µ = mean
σ = standard deviation
Put the mean in the middle, and add the standard deviation to the right
Subtract the standard deviation to the left
|dw:1442110705851:dw|

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## More answers

- anonymous

Once you have that, just add up the percentages

- anonymous

So for A you want to add up the percentages between 160 and 190|dw:1442110884768:dw|

- anonymous

99.6%?

- anonymous

I got 99.7%

- anonymous

You are correct(: so I would basically do the same for part b right? fill in using the mean for b

- anonymous

well the mean and standard deviation are the same for A and B.
For b they're just looking for a different range, so this time only add the percentages between 170 and 180

- anonymous

34%?

- anonymous

thats 175-180. how do i know how much to add to get 170-180?

- anonymous

If you notice, 170 is on there too, to the left of 175.
So add 34 for 170 to 175 and another 34 for 175 to 180

- anonymous

|dw:1442111563473:dw|

- anonymous

ohhhhh, got it ! ^-^ thank youuuuuuuu

- anonymous

you're welcome

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