Lesson 4 | Descriptive Statistics | 9th Grade Mathematics

Objective

Describe the shape of the data in box plots and histograms. Choose an appropriate measure of center (or an appropriate shape) based on the shape and the relationship between the mean and the median.

Lesson Map

Topic A: Descriptive Statistics in Univariate Data

Lesson

Describe statistics. Represent data in frequency graphs and identify the center of a data set.

Standards

HSS-IC.A.1HSS-ID.A.1HSS-ID.A.2

Lesson

Describe center and spread. Represent data in a box plot (box-and-whisker plot) and calculate the center and spread.

Standards

HSS-ID.A.1HSS-ID.A.2

Lesson

Represent data in a histogram and calculate the center. Identify when the median and mean are not the same value.

Standards

HSS-ID.A.1

Lesson

Describe the shape of the data in box plots and histograms. Choose an appropriate measure of center (or an appropriate shape) based on the shape and the relationship between the mean and the median.

Standards

HSS-ID.A.2HSS-ID.A.3

Lesson

Calculate and interpret the spread (variance) of a data set.

Standards

HSS-ID.A.3HSS-ID.A.4

Lesson

Calculate the standard deviation and compare two symmetrical distributions based on the mean and standard deviation.

Standards

HSS-ID.A.2HSS-ID.A.4

Lesson

Interpret the standard deviation and interquartile range.

Standards

HSS-ID.A.2HSS-ID.A.4

Lesson

Calculate population percentages using the standard deviation.

Standards

HSS-ID.A.4

Lesson

Given summary statistics, describe the best measures of center and spread. Describe reasoning.

Standards

HSS-ID.A.2

Lesson

Develop and answer statistical questions through data analysis of existing data using appropriate statistical measures and displays. (Part 1/3)

Standards

HSS-ID.A.1HSS-ID.A.2HSS-ID.A.3HSS-ID.A.4

Lesson

Develop and answer statistical questions through data analysis of existing data using appropriate statistical measures and displays. (Part 2/3)

Standards

HSS-ID.A.1HSS-ID.A.2HSS-ID.A.3HSS-ID.A.4

Lesson

Develop and answer statistical questions through data analysis of existing data using appropriate statistical measures and displays. (Part 3/3)

Standards

HSS-ID.A.1HSS-ID.A.2HSS-ID.A.3HSS-ID.A.4

Topic B: Descriptive Statistics in Bivariate Data

Lesson

Define categorical and numerical data. Create two-way tables to organize bivariate categorical data.

Standards

HSS-ID.B.5

Lesson

Describe relative and relative conditional frequencies of two-way tables.

Standards

HSS-ID.B.5

Lesson

Create scatterplots and identify function shapes in scatterplots.

Standards

HSS-ID.B.6

Lesson

Calculate, with technology, the correlation coefficient for a data set. Explain why correlation does not determine causation.

Standards

HSS-ID.C.8HSS-ID.C.9

Lesson

Determine the function of best fit and create a linear equation from least squares regression using technology.

Standards

HSS-ID.B.6aHSS-ID.B.6bHSS-ID.C.7

Lesson

Use residuals to assess the strength of the model for a data set.

Standards

HSS-ID.B.6bHSS-ID.B.6c

Lesson

Describe the relationship between two quantitative variables in a contextual situation represented in a scatterplot using the correlation coefficient, least squares regression, and residuals as evidence.

Standards

HSS-ID.B.6aHSS-ID.C.7HSS-ID.C.9

Lesson

Develop and answer statistical questions through data analysis of existing data using appropriate statistical measures and displays. (Part 1/3)

Standards

HSS-ID.B.6HSS-ID.C.7HSS-ID.C.8HSS-ID.C.9

Lesson

Develop and answer statistical questions through data analysis of existing data using appropriate statistical measures and displays. (Part 2/3)

Standards

HSS-ID.B.6HSS-ID.C.7HSS-ID.C.8HSS-ID.C.9N.Q.A.1

Lesson

Develop and answer statistical questions through data analysis of existing data using appropriate statistical measures and displays. (Part 3/3)

Standards

HSS-ID.B.6HSS-ID.C.7HSS-ID.C.8HSS-ID.C.9

Descriptive Statistics

Objective

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Descriptive Statistics

Objective

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