School level

# 26th March

## 26th March: Inferential Statistics - Normal Distribution

### Learning Outcomes

Students working at OL should be able to:

• Making decisions based on the empirical rule

Students working at HL should be able to:

• Construct 95% confidence intervals for the population mean from a large sample and for the population proportion, in both cases using z tables
Analysing Interpreting and Drawing Inferences from Data
GeoGebra Files
SEC Exam Questions
Explanatory Videos

### Inferential Statistics - Normal Distribution (Presentation)

https://www.scoilnet.ieuploads/resources/32169/31911.pdf Added: 26 Mar 2020 Contributor: PDST Resource type: Guide/notes / Presentation

Useful notes for teachers and students with questions and solutions on the normal distribution and the empirical rule.

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 1. Statistics & Probability

Strand unit: 7. Data: Analyse, Interpret, Draw Conclusions

Suggestions for use: Useful for introducing the normal distribution at both levels in senior cycle.

Asset type: Document
Language: English
Special Needs:

### Using GeoGebra For The Empirical Rule

Document explaining the steps to use Geogebra as a demonstration of the empirical rule

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 1. Statistics & Probability

Strand unit: 7. Data: Analyse, Interpret, Draw Conclusions

Suggestions for use: To introduce students to the empirical rule and using the normal distribution to calculate probabilities.

Asset type: Document
Language: English
Special Needs:

### SEC 2015 OL Paper 2 Question 9 - Normal Distribution Question

SEC past exam question on statistics with a part on the empirical rule

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 1. Statistics & Probability

Strand unit: 7. Data: Analyse, Interpret, Draw Conclusions

Suggestions for use: SEC past exam question to assess student understanding of the empirical rule

Asset type: Document
Language: English
Special Needs:

### SEC 2017 OL Paper 2 Question 5 - Normal Distribution

https://www.scoilnet.ieuploads/resources/32165/31907.pdf Added: 26 Mar 2020 Contributor: PDST Resource type: Assessment / Exam Papers

SEC past exam question on the normal distribution and the empirical rule

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 1. Statistics & Probability

Strand unit: 7. Data: Analyse, Interpret, Draw Conclusions

Suggestions for use: SEC past exam question to assess student understanding of the normal distribution and the empirical rule

Asset type: Document
Language: English
Special Needs:

### SEC 2018 HL Paper 2 Question 2 - Normal Distribution and Empirical rule

https://www.scoilnet.ieuploads/resources/32166/31908.pdf Added: 26 Mar 2020 Contributor: PDST Resource type: Assessment / Exam Papers

SEC past exam question on statistics with a part on the empirical rule

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 1. Statistics & Probability

Strand unit: 7. Data: Analyse, Interpret, Draw Conclusions

Suggestions for use: SEC past exam question to assess student understanding of z-scores and the empirical rule

Asset type: Document
Language: English
Special Needs:

### SEC 2019 HL Paper 2 Question 8 - Inferential Statistics

https://www.scoilnet.ieuploads/resources/32167/31909.pdf Added: 26 Mar 2020 Contributor: PDST Resource type: Assessment / Exam Papers

SEC past exam question on inferential statistics with a part on the normal distribution

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 1. Statistics & Probability

Strand unit: 7. Data: Analyse, Interpret, Draw Conclusions

Suggestions for use: SEC past exam question to assess student understanding of sampling and z- scores

Asset type: Document
Language: English
Special Needs:

### normal distribution problems: z-score | Probability and Statistics | Khan Academy

https://youtu.be/Wp2nVIzBsE8 Added: 26 Mar 2020 Contributor: PDST Resource type: Demonstration / Audio / Video

Tutorial demonstrating how to find Z-scores for given data.

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 1. Statistics & Probability

Strand unit: 7. Data: Analyse, Interpret, Draw Conclusions

Suggestions for use: Useful for students to see a demonstration finding z-scores for normally distributed data.

Asset type: Video
Language: English
Special Needs:

### Comparing Z-scores

https://youtu.be/_rtQGAX5wsQ Added: 26 Mar 2020 Contributor: PDST Resource type: Demonstration / Audio / Video

Use standardized scores (z-scores) to compare data points from different distributions.

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 1. Statistics & Probability

Strand unit: 7. Data: Analyse, Interpret, Draw Conclusions

Suggestions for use: Useful demonstration to compare z-scores from different distributions.

Asset type: Video
Language: English
Special Needs:

### Standard normal table for proportion below

https://youtu.be/Fo4kitkFB3I Added: 26 Mar 2020 Contributor: PDST Resource type: Demonstration / Audio / Video

Finding the proportion of a normal distribution that is below a value by calculating a z-score and using a z-table.

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 1. Statistics & Probability

Strand unit: 7. Data: Analyse, Interpret, Draw Conclusions

Suggestions for use: Useful demonstration for students in class or at home.

Asset type: Video
Language: English
Special Needs:

### Standard normal table for proportion Above

https://youtu.be/i9FzFfv1rQg Added: 26 Mar 2020 Contributor: PDST Resource type:

Finding the proportion of a normal distribution that is above a value by calculating a z-score and using a z-table

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 1. Statistics & Probability

Strand unit: 7. Data: Analyse, Interpret, Draw Conclusions

Suggestions for use: Useful demonstration for students in class or at home.

Asset type: Video
Language: English
Special Needs:

### Standard normal table for proportion between values

https://youtu.be/uwhV0TAPmWc Added: 26 Mar 2020 Contributor: PDST Resource type: Demonstration / Audio / Video

Finding the proportion of a normal distribution that is between two values by calculating z-scores and using a z-table.

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 1. Statistics & Probability

Strand unit: 7. Data: Analyse, Interpret, Draw Conclusions

Suggestions for use: Useful demonstration for students in class or at home.

Asset type: Video
Language: English
Special Needs:

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