Unit 2 – Statistics Standard Deviation and Normal Distribution Mr. Solórzano – Algebra 2.

Slides:

Advertisements

Similar presentations

Statistics and Data (Algebraic)

Advertisements

The Normal Distribution

The Central Limit Theorem Today, we will learn a very powerful tool for sampling probabilities and inferential statistics: The Central Limit Theorem.

Normal distribution (3) When you don’t know the standard deviation.

Chapter 14 Analyzing Quantitative Data. LEVELS OF MEASUREMENT Nominal Measurement Nominal Measurement Ordinal Measurement Ordinal Measurement Interval.

Lesson #17 Sampling Distributions. The mean of a sampling distribution is called the expected value of the statistic. The standard deviation of a sampling.

T T07-01 Sample Size Effect – Normal Distribution Purpose Allows the analyst to analyze the effect that sample size has on a sampling distribution.

As with averages, researchers need to transform data into a form conducive to interpretation, comparisons, and statistical analysis measures of dispersion.

1 Confidence Intervals for Means. 2 When the sample size n< 30 case1-1. the underlying distribution is normal with known variance case1-2. the underlying.

Normal and Sampling Distributions A normal distribution is uniquely determined by its mean, , and variance,  2 The random variable Z = (X-  /  is.

Lesson 12-1 Algebra Check Skills You’ll Need 12-4

The Binomial Distribution

1 1 Slide © 2008 Thomson South-Western. All Rights Reserved Chapter 11 Inferences About Population Variances n Inference about a Population Variance n.

Warm-Up If the variance of a set of data is 12.4, what is the standard deviation? If the standard deviation of a set of data is 5.7, what is the variance?

A P STATISTICS LESSON 2 – 2 STANDARD NORMAL CALCULATIONS.

Measures of Variability Objective: Students should know what a variance and standard deviation are and for what type of data they typically used.

Hypothesis Testing for Variance and Standard Deviation

Examples for the midterm. data = {4,3,6,3,9,6,3,2,6,9} Example 1 Mode = Median = Mean = Standard deviation = Variance = Z scores =

Unit 5 Section 5-4 – Day : The Binomial Distribution  The mean, variance, and standard deviation of a variable that has the binomial distribution.

Pablo Diaz 6/13/13 Research in Ecology Program.

Non-standard Normal Distribution OBJ Determine the z-score of a non-standard normal distribution and find its area under the normal curve.

1 Beginning & Intermediate Algebra – Math 103 Math, Statistics & Physics.

Determination of Sample Size: A Review of Statistical Theory

8 Sampling Distribution of the Mean Chapter8 p Sampling Distributions Population mean and standard deviation,  and   unknown Maximal Likelihood.

Normal Distribution. Normal Distribution: Symmetric: Mean = Median = Mode.

§ 5.3 Normal Distributions: Finding Values. Probability and Normal Distributions If a random variable, x, is normally distributed, you can find the probability.

Statistics. A two-dimensional random variable with a uniform distribution.

- We have samples for each of two conditions. We provide an answer for “Are the two sample means significantly different from each other, or could both.

7.5 Hypothesis Testing for Variance and Standard Deviation Key Concepts: –The Chi-Square Distribution –Critical Values and Rejection Regions –Chi-Square.

Has a single peak at the center. Unimodal. Mean, median and the mode are equal and located in the center of the curve. Symmetrical about the mean. Somewhat.

1 Sampling distributions The probability distribution of a statistic is called a sampling distribution. : the sampling distribution of the mean.

Thinking Mathematically Statistics: 12.4 The Normal Distribution.

Chapter 9 – The Normal Distribution Math 22 Introductory Statistics.

Rational Exponents Mr. Solórzano – Algebra 1. Objectives To simplify expressions with radical exponents To write radical expressions using rational exponents.

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

§2.The hypothesis testing of one normal population.

Section 8-6 Testing a Claim about a Standard Deviation or Variance.

1 Numbers & Basic Algebra – Math 103 Math, Statistics & Physics.

Unit 4: Normal Distributions Part 1 Statistics Mr. Evans.

Do Now   Algebra 2.

Mean, variance, standard deviation and expectation

Topic 4 – Functions (Part B) Class 3 – Solving Absolute Value Inequalities Mr. Solórzano – Algebra 2.

Ch5.4 Central Limit Theorem

Statistical Reasoning for everyday life

Opening Routine The scores of a reference population on the Wechsler Intelligence Scale for Children (WISC) are normally distributed with μ = 100 and σ.

Opening Routine.

Measures of Central Tendency

Opening Routine.

Statistics 11/29 Objective: Students will be able to find standard deviation and variance. Standards: 1.02 Summarize and analyze univariate data to solve.

Monthly utility bills factor into local cost of living measures

AP Statistics: Chapter 7

Chapter 9 Hypothesis Testing

عمل الطالبة : هايدى محمد عبد المنعم حسين

NORMAL PROBABILITY DISTRIBUTIONS

Normal Distribution.

Mean Absolute Deviation

The Normal Probability Distribution Summary

Statistical Process Control

Chapter 9 Hypothesis Testing

Sampling Distributions

If the question asks: “Find the probability if...”

FOUR MOMENTS: Ways to Describe a (Univariate I/R) Distribution

Sample Standard Deviation

Unit # Deviation Absolute Dev. Square of Dev

Normal Distribution: Finding Probabilities

Combining Random Variables

Hypergeometric Distribution

Homework: pg. 500 #41, 42, 47, )a. Mean is 31 seconds.

Presentation transcript:

Unit 2 – Statistics Standard Deviation and Normal Distribution Mr. Solórzano – Algebra 2

Objectives To find the standard deviation and variance of a set of values To apply standard deviation and variance To use a normal distribution Essential Question Why is it important to understand the use of standard deviation in a data set?

Now it’s your turn!

Opening Activity For 2001, the farm incomes of which states are not within one standard deviation of the mean?

Now it’s your turn!