# Ch 1: Common Core HS Statistics & Probability: Quantitative Data

Use our high school statistics and probability video lessons. Prepare your students to meet the common core standards for performing statistical analyses using quantitative data.

Standard: Represent data with plots on the real number line (dot plots, histograms, and box plots). (CCSS.Math.Content.HSS-ID.A.1)

Standard: Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. (CCSS.Math.Content.HSS-ID.A.2)

Standard: Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). (CCSS.Math.Content.HSS-ID.A.3)

Standard: Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve. (CCSS.Math.Content.HSS-ID.A.4)

A clear understanding of using quantitative data allows students to create dot plots, histograms and box plots. Students who are able to perform the calculations for mean, median, mode and range will be prepared to comprehend and discuss the difference between mean and median.

The lessons for these standards encompass the following topics:

• Histograms
• Dot and box plots
• Mean, median, mode and range
• Shape, symmetry and skewness
• Maximums, minimums and outliers
• Quartiles and interquartile range
• Shifts in the mean and standard deviation
• Normal distribution
• Z-scores

Your students will show they understand the concepts of these standards when they are able to create and interpret quantitative data on histograms, dot plots and box plots. They should also feel comfortable with the concepts of standard deviation and shifts in the mean while using normal distribution and normal curve for estimation purposes. These standards and lessons can prepare students for college courses requiring an ability to understand research results in all areas of study.

### How to Use These Lessons in Your Classroom

Here are some tips for using these lessons in your curriculum to meet the common core standards:

#### Pre-Lesson and Post-Lesson Quizzes

Before viewing the videos for How to Calculate Mean, Median, Mode & Range and Standard Deviation and Shifts in the Mean lessons with your students, ask them to complete the quizzes that accompany each. This will focus attention on what they already know and what they still need to learn. After sharing the video lessons, students will take the quizzes again to demonstrate understanding.

#### Histograms and Box Plots Lessons

View the video lessons that outline how to create and interpret histograms and box plots. Supply your students with data indicating the season batting averages for a group of baseball players, along with the batting averages from the World Series of that same year. As a group, create histograms and box plots and then analyze the results.

#### Box Plots, Standard Deviation, Center, Spread and Outliers Lessons

Share the video lessons pertaining to the topics listed above. Provide pennies or another type of stackable manipulative. Students will stack, count and note how many coins each could pile with their dominant and then non-dominant hands. Have students construct box plots to compare results. Explore standard deviation, center, spread and outliers.

18 Lessons in Chapter 1: Common Core HS Statistics & Probability: Quantitative Data
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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