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What is a standardized unit that tells how far away each measurement is from the mean?
Standard deviation is a measure of the spread of data around the mean. The standardized value or z-score, tells how many standard deviations the measurement is away from the mean, and in which direction.z score = (observation - mean) / standard deviationStandard deviation is the unit measurement. This tells what the value a decimal is.
What statistic is produced when the difference between a score and then mean is divided by the standard deviation?
z-score or standard score... tells you how many standard deviations away from the mean a particular number is in relations to all numbers in a population (or sample)
Give the term for the number of the standard deviations that a particular X value is away from the mean?
z
How many standard deviations is the first quartile away from the mean on a Normal distribution?
0.674 sd.
How do you create data set with larger standard deviation?
Standard deviation is the square root of the sum of the squares of the deviations of each item from the mean, i.e. the square root of the variance. In order to increase the standard deviation, therefore, you need to increase the average deviation from the mean. There are many ways to do this. One is to move each item further away from the mean. For example, take the set [2, 4, 4, 4, 5, 5, 7, 9]. It has a mean of 5 and a standard deviation of 2.14. Multiply each item by 2.2 and subtract 5, giving the set [-1.3, 2.9, 2.9, 2.9, 5, 5, 9.2, 13.4], effectively moving each item 10% further away from the mean. This still has a mean of 5, but the standard deviation is 4.49.
