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 ______ _______ __ _______.
Multiply each frequency and class midpoint, then add the products, divide by the sum of frequencies.
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)
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.
See more: How To Break In A Denim Jacket ? How To Break In A Denim Jacket: 3 Easy Steps
The proportion of any set of data lying within K standard deviations of the mean is always at least
, where K is any positive number greater than 1.
the mean distance of the data from the mean
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:
Ordinary values: -2
2Unusual values: z score 2