Unit 3- Inferences

# Unit 3

This unit builds on students’ knowledge and understanding of statistics from the 6th grade. Students begin to use random samples to make predictions about an entire population and judge the possible discrepancies of the predictions. Opportunities are provided for students to use real-life situations from science and social studies to show the purpose for using random sampling to make inferences about a population.

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### Use random sampling to draw inferences about a population and draw informal comparative inferences about two populations.

MGSE7.SP.1 Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.

MGSE7.SP.2 Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. For example, estimate the mean word length in a book by randomly sampling words from the book; predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be. Draw informal comparative inferences about two populations.

MGSE7.SP.3 Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the medians by expressing it as a multiple of the interquartile range.

MGSE7.SP.4 Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. For example, decide whether the words in a chapter of a seventh‐grade science book are generally longer than the words in a chapter of a fourth‐grade science book.