1. sort the data2. odd number of values, median is the value in the exact center.3. even number of values, add the two middle numbers and divide by two.

You are watching: Whenever a data value is less than the mean, _______.


What is often a good choice if there are some extreme values when looking at the measures of center?
The _____ is sensitive to every value, just one extreme can affect it dramatically. Therefore, we say the mean is not a ______ _______ __ _______.
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Multiply each frequency and class midpoint, then add the products, divide by the sum of frequencies.
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Multiply each weight w by the corresponding value x, then add the products, finally divide that total by the sum of the weights.
The value of the standard deviation is ________.It is never _________.Larger values of s indicate __________ amounts of variation.The value of the standard deviation s can increase dramatically with the inclusion of one or more ___________.
1. compute the mean.2. subtract the mean from each individual value. (a list of deviations of the form (x-mean)3. square each of the the values in step two (x-mean) squared4. Add all of the obtained squares5. Divide the total by the number n-1 (1 less than the total number of samples values)6. Find the square root of the result.
When comparing variation in samples with very different means, it is better to use the _____ __ _________.
sample variance = square of the standard deviation s.Population variance = square of the population standard deviation sigma.
Minumum "usual" value = (mean) - 2 x (standard deviation)Maximum "usual" value = (mean) + 2 x (standard deviation)
s =
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For many data sets, a value is unusual if it differs from the mean by more than _____ standard deviations.
The empirical rule states: that for data sets having a distribution that is approximately bell-shaped, the following properties apply:1. About ___% of all values fall within 1 standard deviation of the mean.2. About ___% of all values fall within 2 standard deviations of the mean3. About ___% of all values fall within 3 standard deviations of the mean.

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The proportion of any set of data lying within K standard deviations of the mean is always at least
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, where K is any positive number greater than 1.
the mean distance of the data from the mean
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for a set of nonnegative sample or population data, expressed as a percent, describes the standard deviation relative to the mean, and is gvien by the following:
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Ordinary values: -2
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z score
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2Unusual values: z score 2