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Introduction to Normal Distribution and z-score

Introduction to Normal Distribution and z-score

This is a PowerPoint presentation that can be used to introduce normal distributions. The lesson covers what a normal distribution is and then talks through how to convert to a standardised normal distribution (find the z-score). The idea is to encourage the students to understand exactly what they are finding, rather than just using a formula and reading from a table. This means that they will be able to interpret questions and adapt to new situations more easily. The presentation discusses what we mean by standard deviation and how it applies to a normal distribution. We then look at how we can find the z-score and how this helps us find the probability. We then look at a couple of examples, where we use a table to find the probability from the z-score and vice-versa. I use a 'tail end' table of z-scores but the lesson can easily be adapted to other forms of tables. I spent quite a lot of time putting the presentation together to use with my Engineering apprentices so hopefully someones else can also find it useful. I must also give credit to www.mathsisfun.com (https://www.mathsisfun.com/data/standard-normal-distribution.html) where I found a lot of the images used in the presentation.
SianMatthews
Standard Deviation Worksheet

Standard Deviation Worksheet

8 questions on standard deviation. The first two questions include the table for ease. The last question is a comparison between standard deviation and the mean.
YasmineJade
Mathematics Statistics 1 Lessons

Mathematics Statistics 1 Lessons

Mathematics Statistics 1 Lessons This is a set of lessons for S1 Statistics 1 A level Mathematics. The resources includes Powerpoints. Powerpoint include: Learning objectives Questions on the topic Important information written in red boxes to scaffold learning. Topics: Introduction Averages Measures of Spread Correlation Regression Probability Binomial Normal Theory Confidence Interval Revision Poisson I hope you enjoy these lessons, they can be used in the following ways: To deliver a course with reduced planning but not reducing quality of the lesson. As a basis for an observation lesson to save time preparing resources. To give to students for out of lesson learning. To support teachers who are new to this topic, again to reduce planning time. As a bases for your own lessons where you can include exam questions to each presentation. As an activity where the questions can be printed and cut out.
n_s4
Probability distributions, IBSL

Probability distributions, IBSL

Presentations for IB Standard level Mathematics covering the following objectives: Concept of discrete random variables and their probability distributions. Expected value for dicrete data. Binomial distribution and its mean and variance. Normal distribution, Standardization of normal variables, and inverse normal calculations
oralhurt
Inverse normal distribution IBSL

Inverse normal distribution IBSL

Power Point presentation, 15 slides, Explaining how to find the value in a data that has a given cumulative probability, also to find either the mean or the standard deviation given cumulative probabilities, based on IB Mathematical Standard level Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlVGFCUFJPNVpfc28/view?usp=sharing
oralhurt
The Normal distribution - Standard Level IB

The Normal distribution - Standard Level IB

Power Point presentation, 27 slides, Explaining what normal distribution is and how to use the standard normal distribution and other normal distributions to calculate probabilities, Using the GDC to calculate probabilities of Normal distribution, based on IB Standard Level Mathematics Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlZGNFT1JidWxBOTg/view?usp=sharing
oralhurt
Analyze and Compare Data Sets - 7.SP.3

Analyze and Compare Data Sets - 7.SP.3

Identify data landmarks such as mean, median, M.A.D. and interquartile range using a variety of data sets. Make informal comparison of data sets focusing on variability and overlap. Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included. Objectives: - Identify data landmarks in a variety of data sets - Measure variability within and across data sets - Recognize variability across two data sets - Understand median is related to interquartile range and mean with M.A.D. Includes 6 practice pages and answer keys. Aligned with NCCS Math - 7.SP.2 Visit commoncoremath.net for additional help.
wheelsjr
Use Data to Draw Inferences - 7.SP.2

Use Data to Draw Inferences - 7.SP.2

Collect and utilize multiple samples of data to make generalizations about a population. Attention should be paid to variations in the samples Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included. Objectives: - Make inferences based on of multiple random samples - Answer questions regarding populations and sampling - Determine total population based on samples - Make predictions regarding total populations - Describe a model for sampling dependent on population Includes 6 practice pages and answer keys. Aligned with NCCS Math - 7.SP.2 Visit commoncoremath.net for additional help.
wheelsjr
Inverse Normal calculations

Inverse Normal calculations

Power Point presentation, 28 slides, Explaining how to use the GDC if you are given the percentage area under the curve, i.e. the probability or the proportion, and you are asked to find the value corresponding to it, from normal distributions, based on IB Mathematical Studies Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlR01ob2hENDIzX2s/view?usp=sharing
oralhurt