Finding proportion: distribution has mean of 50, st. dev 10

letsgetaway

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I don't understand how to find a proportion.

Homework Question: A distribution of measurements is mound-shaped with mean 50 and standard deviation 10. What proportion of the measurements will fail between 30 and 60?

I've calculated how many deviations from the mean.

50 +/- 10 = 40, 60 -- 68% (using empirical rule)
50 +/- 2(10) = 30, 70 -- 95% (using empirical rule)

I don't know my next step to find this proportion since it spans through both directions from the mean.

|---30---40---50(mean)---60---70

So is my logic correct in thinking that I should...

30 to 50 is half of 95%. 50 to 60 is half of 68%.
47.5% + 34.0% = 81.5%
 
Re: Finding proportion

letsgetaway said:
I don't understand how to find a proportion.

Homework Question: A distribution of measurements is mound-shaped with mean 50 and standard deviation 10. What proportion of the measurements will fail between 30 and 60?

I've calculated how many deviations from the mean.

50 +/- 10 = 40, 60 -- 68% (using empirical rule)
50 +/- 2(10) = 30, 70 -- 95% (using empirical rule)

I don't know my next step to find this proportion since it spans through both directions from the mean.

|---30---40---50(mean)---60---70

So is my logic correct in thinking that I should...

30 to 50 is half of 95%. 50 to 60 is half of 68%.
47.5% + 34.0% = 81.5% <<<< Correct
 
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