Allen WolmerSandy Springs, Georgia, US,

April 1, 2015

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Teacher Resources

- Mathematics > General
- Mathematics > Algebra

- Grade 9
- Grade 10

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Table of Contents

- 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.
- Students use informal language to describe the shape, center, and variability of a distribution based on a dot plot, histogram, or box plot
- Students construct a dot plot from a data set.
- Students estimate the mean and median of a distribution represented by a dot plot or a histogram.
- Students calculate the deviations from the mean for two symmetrical data sets that have the same means.
- Students calculate the standard deviation for a set of data.
- Students calculate the standard deviation of a sample with the aid of a calculator.
- Students explain why a median is a better description of a typical value for a skewed distribution.
- Students compare two or more distributions in terms of center, variability, and shape.

Teacher Resources

Exercises from Illustrative Mathematics

A set of 4 exercises, commentary, and solutions

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Students use informal language to describe the shape, center, and variability of a distribution based on a dot plot, histogram, or box plot.

Students recognize that a first step in interpreting data is making sense of the context.

Students make meaningful conjectures to connect data distributions to their contexts and the questions that could be answered by studying the distributions.

Teacher and Student versions of full lesson from engageNY

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Students construct a dot plot from a data set.

Students calculate the mean of a data set and the median of a data set.

Students observe and describe that measures of center (mean and median) are nearly the same for distributions that are nearly symmetrical.

Students observe and explain why the mean and median are different for distributions that are skewed.

Students select the mean as an appropriate description of center for a symmetrical distribution and the median as a better description of center for a distribution that is skewed.

Teacher and Student versions of full lesson from engageNY

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Students estimate the mean and median of a distribution represented by a dot plot or a histogram.

Students indicate that the mean is a reasonable description of a typical value for a distribution that is symmetrical but that the median is a better description of a typical value for a distribution that is skewed.

Students interpret the mean as a balance point of a distribution.

Students indicate that for a distribution in which neither the mean nor the median is a good description of a typical value, the mean still provides a description of the center of a distribution in terms of the balance point.

Teacher and Student versions of full lesson from engageNY

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Students calculate the deviations from the mean for two symmetrical data sets that have the same means.

Students interpret deviations that are generally larger as identifying distributions that have a greater spread or variability than a distribution in which the deviations are generally smaller.

Teacher and Student versions of full lesson from engageNY

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Curriki Rating**'C'** - Curriki rating C**'C'** - Curriki rating

Students calculate the standard deviation for a set of data.

Students interpret the standard deviation as a typical distance from the mean.

Teacher and Student versions of full lesson from engageNY

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Students calculate the standard deviation of a sample with the aid of a calculator.

Students compare the relative variability of distributions using standard deviations.

Teacher and Student versions of full lesson from engageNY

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Students explain why a median is a better description of a typical value for a skewed distribution.

Students calculate the 5-number summary of a data set.

Students construct a box plot based on the 5-number summary and calculate the interquartile range (IQR).

Students interpret the IQR as a description of variability in the data.

Students identify outliers in a data distribution.

Teacher and Student versions of full lesson from engageNY

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Students compare two or more distributions in terms of center, variability, and shape.

Students interpret a measure of center as a typical value.

Students interpret the IQR as a description of the variability of the data.

Students answer questions that address differences and similarities for two or more distributions.

Teacher and Student versions of full lesson from engageNY

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