6.4 Confidence Intervals for Variance and Standard Deviation

Aug 15, 2012

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6.4 Confidence Intervals for Variance and Standard Deviation. How do we estimate the population variance or the population standard deviation using sample data?The variation we see in the sample will be our best guess.the sample variance, s2, is used to estimate s2the sample standard deviat

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6.4 Confidence Intervals for Variance and Standard Deviation

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1. 6.4 Confidence Intervals for Variance and Standard Deviation Key Concepts: Point Estimates for the Population Variance and Standard Deviation Chi-Square Distribution Building and Interpreting Confidence Intervals for the Population Variance and Standard Deviation

Mean, variance, standard deviation and expectation

Objectives. Find the mean, variance, standard deviation, and expected value for a discrete random variable . Introduction. Once we know that a probability distribution exist, we can describe it using various descriptive statistics Visually using a graph, table, or formula Algebraically, we can fin

603 views • 6 slides

Mean, variance, standard deviation and expectation

Mean, variance, standard deviation and expectation. Section 5-3 . Objectives. Find the mean, variance, standard deviation, and expected value for a discrete random variable . Introduction.

636 views • 7 slides

Variance and Standard Deviation

Variance and Standard Deviation. The Expected Value of a random variable gives the average value of the distribution The Standard Deviation shows how spread out the data is You can think of the standard deviation as “ the average distance of the data from the average ”

1.43k views • 4 slides

Class 18: Variance and Standard Deviation

Class 18: Variance and Standard Deviation. The Expected Value of a random variable gives the average value of the distribution The Standard Deviation shows how spread out the data is You can think of the standard deviation as “ the average distance of the data from the average ”

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Finding Sample Variance Standard Deviation

247 views • 7 slides

7.5 The Variance and Standard Deviation

7.5 The Variance and Standard Deviation. Variance of Probability Distribution Spread Standard Deviation Unbiased Estimate Sample Variance and Standard Deviation Alternative Definitions Chebychev's Inequality. Variance of Probability Distribution.

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Variance and Standard Deviation

Variance and Standard Deviation. The most important measures of “spread” or dispersion. Sample Variance. The variance is the average squared deviation away from the mean. For a sample of size n, divide by n – 1. For a population, divide by n. Sample mean x. The standard deviation.

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Mean Variance Standard Deviation

Mean Variance Standard Deviation. From: Mathisfun.com http://www.mathsisfun.com/data/standard-deviation.html. Standard Deviation is a measure of how spread out numbers are. The heights (at the shoulders) are: 600mm, 470mm, 170mm, 430mm and 300mm.

783 views • 8 slides

Mean, variance, standard deviation and expectation

Mean, variance, standard deviation and expectation. Section 5-3 . Find the mean, variance, standard deviation, and expected value for a discrete random variable . Objectives. Once we know that a probability distribution exist, we can describe it using various descriptive statistics

252 views • 6 slides

6.4 Confidence Intervals for Variance and Standard Deviation

6.4 Confidence Intervals for Variance and Standard Deviation. Key Concepts: Point Estimates for the Population Variance and Standard Deviation Chi-Square Distribution Building and Interpreting Confidence Intervals for the Population Variance and Standard Deviation.

466 views • 7 slides

6.4 Confidence intervals for Variance and Standard deviation

6.4 Confidence intervals for Variance and Standard deviation. Interpret the chi-square distribution and use a chi-square distribution table Use the chi-square distribution to construct a confidence interval for the variance and standard deviation.

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7.5 The Variance and Standard Deviation

7.5 The Variance and Standard Deviation. Definitions. The Formula. Let’s try! Find the mean Calculate the variance. Variance measures the dispersal of the information. Basically, how spread out is the data? If the variance is small: The data is concentrated about the mean

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Variance & Standard Deviation

This lecture is organized by Dr. Alemi and narrated by Yara Alemi. The lecture is based on the OpenIntro Statistics book. . Variance & Standard Deviation. By Farrokh Alemi, Ph.D. Variance.

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7.4 Confidence Intervals for Variance and Standard Deviation

7.4 Confidence Intervals for Variance and Standard Deviation. Statistics. Essential Questions. Since variance and standard deviation are statistical quantities of a set of data, can we construct confidence intervals for these quantities?.

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Variance and Standard Deviation

Variance and Standard Deviation. The variance of a discrete random variable is:. The standard deviation is the square root of the variance. Variance and Standard Deviation. Standard deviation. Variance. Example : Variance and Standard Deviation of the Number of Radios Sold in a Week

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Variance and Standard Deviation (2) Scaling

Variance and Standard Deviation (2) Scaling. Fred tries out Laxo Laxative - and finds his visits increase by 5 a day. Mean = 8.1. Mean = 13.1. 5 more visits per day, Sum is 12x5 (60) more = 157 mean is 5 more. 13.1. Sum = 97. Standard Deviation.

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Standard Deviation and Variance (Class 2)

Standard Deviation and Variance (Class 2). OBJ: • Find range, measures of central tendency, and construct tables and graphs. Below are the algebra test scores for a class of 25 students:. Calculator commands: (at the bottom of the second page of notes)

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Central Tendency, Variance and Standard Deviation

Central Tendency, Variance and Standard Deviation. Units of analysis, populations, samples. Units of analysis are usually people, time or places, such as countries, cities or states (provinces); the number of units is called the number of observations or ‘n’ for short

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The Variance and Standard Deviation

The Variance and Standard Deviation. The most important measure of variability is based on deviations of individual observations about the central value. For this purpose the mean usually serves as the center. MEASURES OF VARIABILITY. Variance Population variance Sample variance

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Confidence Intervals for Variance and Standard Deviation

Confidence Intervals for Variance and Standard Deviation. Chi-square Distributions. As sample size increases and d.f. increases, the distribution for a chi-square becomes flatter. Chi-square distributions are positively skewed.

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Mean, Variance, and Standard Deviation for Grouped Data

Mean, Variance, and Standard Deviation for Grouped Data. Section 3.3. Table 3.8 (p. 94 ). Table 3.9 (p. 95 ). Mean for Grouped Data. Find midpoint for each class ( m ). Multiply m by frequency ( f ) of that class. Mean of Population: µ = ∑ m f

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6.4 Confidence Intervals for Variance and Standard Deviation

6.4 Confidence Intervals for Variance and Standard Deviation. Statistics Mrs. Spitz Spring 2009. Objectives/Assignment. How to interpret the c hi-square distribution and use a chi-square distribution table.

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6.4 Confidence Intervals for Variance and Standard Deviation

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Presentation Transcript

Mean, variance, standard deviation and expectation

Mean, variance, standard deviation and expectation

Variance and Standard Deviation

Class 18: Variance and Standard Deviation

Finding Sample Variance Standard Deviation

7.5 The Variance and Standard Deviation

Variance and Standard Deviation

Mean Variance Standard Deviation

Mean, variance, standard deviation and expectation

6.4 Confidence Intervals for Variance and Standard Deviation

6.4 Confidence intervals for Variance and Standard deviation

7.5 The Variance and Standard Deviation

Variance &amp; Standard Deviation

7.4 Confidence Intervals for Variance and Standard Deviation

Variance and Standard Deviation

Variance and Standard Deviation (2) Scaling

Standard Deviation and Variance (Class 2)

Central Tendency, Variance and Standard Deviation

The Variance and Standard Deviation

Confidence Intervals for Variance and Standard Deviation

Mean, Variance, and Standard Deviation for Grouped Data

6.4 Confidence Intervals for Variance and Standard Deviation

Variance & Standard Deviation