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Mathematics 15 Online
OpenStudy (anonymous):

How do I find the number of values between 7.26 and 11.64?

OpenStudy (amistre64):

the number of values that relate to what kind of property?

OpenStudy (anonymous):

I is Interpreting the Standard Deviation: Chebyshevs rule. I am doing a tutorial, and it gave me the answer which is 12. It just did not show me how to get that answer.

OpenStudy (amistre64):

Chebys rule; vaguely recall it something about range/4 maybe?

OpenStudy (amistre64):

1/k sounds familiar

OpenStudy (amistre64):

Chebys Rule: A rule that states the minimum amount of data that will like within k (k>1) standard deviations of the mean for any distribution of data. There will be at least 3/4 (75%) of the data within 2 standard deviations of the mean and at least 8/9 (89%) of the data within 3 standard deviations of the mean. The rule states At least of the data will like within k standard deviations of the mean To verify the rule Rank the data from lowest to highest. This is not necessary, but it makes it easier. Find the mean and standard deviation of the data. Find the lower boundary by multiplying the standard deviation by k and subtracting from the mean. Find the upper boundary by multiplying the standard deviation by k and adding it to the mean. Count the number of values between these two boundaries. Divide the number of values between the boundaries by the total number of values https://people.richland.edu/james/ictcm/2001/descriptive/helpvariance.html

OpenStudy (amistre64):

if you have a set of data points already, then you can count the number of points that fall inbetween the bounds

OpenStudy (anonymous):

I see this in my book. The 'k' has just threw me off.

OpenStudy (amistre64):

i believe k is the number of datapoints in the set itself. without the set itself to compare against, we would be hard pressed to define the number of values between 7.26 and 11.64 :)

OpenStudy (amistre64):

ugh, k standard deviations, not the number of the set ... read it slightly off lol

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