Common Core Math 7

Month 9: Chapter 10 

Probability & Statistics

🔗 MONTH 9 COVER SHEET

Class Notes

Week 1

M9W1 Notes Math 7 23-24.pdf

Week 2

M9W2 Notes Math 7 23-24.pdf

Week 3

Video Tutorials

(10.1) Outcomes and Sample Spaces 

(10.1) Outcomes and Events

Basic Probability (Watch before starting Lesson 10.2)

Probability (Watch as you go through Lesson 10.2 )

(10.2) Simple Probability 

(10.2) Probability Practice Examples

(10.3) Experimental Probability 

Note that what you found in 10.2 was Theoretical Probability

(10.3) Experimental Probability 

(10.3) Theoretical Probability 

(10.4) Compound Events

(10.4) Tree Diagrams for Representing Sample Spaces (Possible Outcomes)

(10.4) Diagramming Compound Sample Spaces 

(10.4) Fundamental Counting Principle

(Use this to find the total number of possible outcomes in an experiment with more than one event)

(10.4) Compound Probability of  Equally Likely (Independent) Events 

(10.5) The Multiplication Rule of Probability

(10.5) Probability of Independent and Dependent Events

(10.5) Independent and Dependent Events

Example Problem: Compound Probability of Independent Events (10.5)

Example Problem: Compound Probability of Dependent Events (10.5)

(10.5) Independent and Dependent Events: Examples with Marbles

Probability Review (10.1 to 10.5)

(10.6) Identifying the Population and the Sample

(10.6) Random and Biased Sampling

(10.6) Generating a Random Sample (brief, but leads into the next video I posted here...)

(10.6) This is not from our textbook (we don't have a section 11.1), but it does still provide a decent  overview of Samples and Bias.

10.6) Making a Prediction (inference) from a Sample 

This is basically the same as making a prediction using Experimental Probability. The sample data is the experimental data.

(10.6) Making a Prediction (inference) from a Sample 

(10.6) Making Predictions from a Sample (some more examples)

SECTION 10.7 makes use of statistical measures of center (mean, median, mode) and measures of variation (range, interquartile range, mean absolute deviation) that were taught in Math 6. 

I have posted some review videos here and you can find many more here and here.

Review: Measures of Center (Mean, Median & Mode)

Bonus Video:  What measures of central tendency are actually telling us/used for

Quartiles split up a data set into four equal parts (think "quarters") using medians. Remember that a median just splits the data in half. 

Each quartile consists of 25% (one-fourth) of the sorted values in the data set.  So if there are 20 values in the whole data set, there will be five values in each quartile: 25% of the numbers (the first five) will be in the first quartile (Q1), the next 25% (the next five numbers) will be in the second quartile (Q2), the next 25% will be in the third quartile (Q3), and the last 25% will be in the  fourth quartile. 

So, quartiles are about making equal groups out of the data. They don't tell you how far apart the  values in each group are (spread, distribution).

Review: Reading a Dot Plot (just touches on the concept of quartiles. The next video goes deeper).

Review: Measures of Variation (Range, Interquartile Range, Outliers)

Review: Finding the  Interquartile Range (IQR) 

Practice Problems/Examples

Review: Mean Absolute Deviation (MAD)

Review: Box-and-Whisker Plots 

How to Make a Box and Whisker Plot Purple Math.mp4

Review: How to Make a Box-and-Whisker Plot

Review: Drawing Box-and-Whisker Plots

Review: Reading a Box-and-Whisker Plot

A Box-and-Whisker Plot lets you see how spread out the values are in each quartile of a data set. 

Review: Reading a Box-and-Whisker Plot

How to Read a Box and Whisker Plot Purple math.mp4

(10.7) Comparing (Interpreting) Box-and-Whisker Plots

(10.7) Comparing (Interpreting) Box-and-Whisker Plots for two data sets

(10.7) Comparing and Making Inferences about 2 Populations using Measures of Variation

(10.7) Analyzing and Comparing Dot Plots

Additional Resources

Common Core State Standards (CCSS)

10.1 Outcomes and Events  (CCSS 7.SP.5)

10.2  Probability (CCSS 7.SP.5, 7.SP.7a)

10.3 Experimental and Theoretical Probability (CCSS  7.SP.5, 7.SP.67.SP.7a, 7.SP.7b)

10.4 Compound Events (CCSS 7.SP.8a, 7.SP.8b)

10.5 Independent and Dependent Events (CCSS 7.SP.8a, 7.SP.8b, 7.SP.8c)

10.6 Samples and Populations (CCSS 7.SP.1, 7.SP.2)

10.7 Comparing Populations (CCSS 7.SP.3, 7.SP.4)