Graph population variance and standard deviation
[DOC File]Variance and Standard Deviation Information
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Variance: the dispersion among the measures in a given population. Standard deviation: “mean of the means.” Use a normal distribution curve. The standard deviation is a statistic that tells you how tightly all of the data points are clustered around the mean in a set of data.
[DOC File]Standard deviation - 物理系
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It is defined as the square root of the variance. To understand standard deviation, keep in mind that variance is the average of the squared differences between data points and the mean. Variance is tabulated in units squared. Standard deviation, being the square root of that quantity, therefore measures the spread of data about the mean ...
[DOCX File]CALCULATING STANDARD DEVIATION WORKSHEET
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The standard deviation is calculated to find the average distance from the mean. Practice Problem #1: Calculate the standard deviation of the following test data by hand. Use the chart below to record the steps. Test Scores: 22, 99, 102, 33, 57, 75, 100, 81, 62, 29. Mean:_ _____
[DOCX File]Describing and Interpreting Data
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Variance/Standard Deviation The standard deviation is the average variation of the data values from the mean of the values and is the most commonly used measure of variation. Note that the values for the standard deviation are different for a sample and a population.
[DOC File]California State University, Northridge
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Constructing Confidence Intervals for the Population Variance and Standard Deviation. Suppose we take a sample of size n from a normal population with mean µ and standard deviation σ. Then a 100 (1 – α)% confidence interval for the population variance σ2 is given by . Lower bound = , upper bound = Degrees of freedom is n – 1.
[DOC File]Numerical Measures of Central Tendency
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Dividing by n-1 makes the sample variance a more accurate estimate of the population variance, 2. The larger the standard deviation or the variance is, the more spread/variability in the data set. Usually use computers/calculators to calculate s2 and s. Rules to Interpret Standard Deviations
[DOC File]The Practice of Statistics
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standard deviation. variance Data Analysis: Making Sense of Data (pp.2-6) ... Categories in a bar graph are represented by _____ and the bar heights give the category _____. What is a two-way table? ... The mean and standard deviation of a population are parameters.
[DOC File]Upper left margin
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51. If the population variance is 5, then the population standard deviation is σ = 25. 52. A sample with a variance of 25 has a standard deviation equal to 5 points. 53. If the scores in a population range from a low of X = 5 to a high of X = 14, then the population standard deviation …
[DOC File]RANDOM VARIABLES: probability distributions, means, …
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STANDARD DEVIATION: This is just the square root of the variance and is used more often than variance. The notation is . Example to show that and variance and standard deviation are a measure of how data vary, that is, if the data is more variable these numbers are bigger. Consider the 3,3,5,6,13 example as well as 5,5,5,6,7,8.
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