Curriculum / Math / 9th Grade / Unit 2: Descriptive Statistics / Lesson 8
Math
Unit 2
9th Grade
Lesson 8 of 22
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Calculate population percentages using the standard deviation.
The core standards covered in this lesson
HSS-ID.A.4 — 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.
The foundational standards covered in this lesson
7.SP.B.3 — Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability. For example, the mean height of players on the basketball team is 10 cm greater than the mean height of players on the soccer team, about twice the variability (mean absolute deviation) on either team; on a dot plot, the separation between the two distributions of heights is noticeable.
7.SP.B.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.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
What do you notice about this diagram?
At a certain pizza delivery place, the average delivery time is 42 minutes with a standard deviation of 3 minutes. Based on this information, would you purchase a pizza from this company? Why or why not?
A particular college has all students take a placement test. If you score in the top 16% of those who have been admitted, you are offered a scholarship.
The range of scores you can get on the placement test are 100 to 800. The scores for the cohort are normally distributed, and the average is 550. The standard deviation for the administration of this test to the cohort was 75 points.
You get a 650 on the test. Do you get offered the scholarship?
A set of suggested resources or problem types that teachers can turn into a problem set
Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
I made meatloaf on a Monday and forgot about it until Saturday. The average refrigerator life of a meatloaf is 5 days, with a standard deviation of 1 day.Â
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
Include problems where you ask students to interpret interquartile range as well as standard deviation in context.Â
Lesson 7
Lesson 9
Topic A: Descriptive Statistics in Univariate Data
Describe statistics. Represent data in frequency graphs and identify the center of a data set.
HSS-IC.A.1 HSS-ID.A.1 HSS-ID.A.2
Describe center and spread. Represent data in a box plot (box-and-whisker plot) and calculate the center and spread.
HSS-ID.A.1 HSS-ID.A.2
Represent data in a histogram and calculate the center. Identify when the median and mean are not the same value.
HSS-ID.A.1
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.
HSS-ID.A.2 HSS-ID.A.3
Calculate and interpret the spread (variance) of a data set.
HSS-ID.A.3 HSS-ID.A.4
Calculate the standard deviation and compare two symmetrical distributions based on the mean and standard deviation.
HSS-ID.A.2 HSS-ID.A.4
Interpret the standard deviation and interquartile range.
HSS-ID.A.4
Given summary statistics, describe the best measures of center and spread. Describe reasoning.
HSS-ID.A.2
Develop and answer statistical questions through data analysis of existing data using appropriate statistical measures and displays. (Part 1/3)
HSS-ID.A.1 HSS-ID.A.2 HSS-ID.A.3 HSS-ID.A.4
Develop and answer statistical questions through data analysis of existing data using appropriate statistical measures and displays. (Part 2/3)
Develop and answer statistical questions through data analysis of existing data using appropriate statistical measures and displays. (Part 3/3)
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Topic B: Descriptive Statistics in Bivariate Data
Define categorical and numerical data. Create two-way tables to organize bivariate categorical data.
HSS-ID.B.5
Describe relative and relative conditional frequencies of two-way tables.
Create scatterplots and identify function shapes in scatterplots.
HSS-ID.B.6
Calculate, with technology, the correlation coefficient for a data set. Explain why correlation does not determine causation.
HSS-ID.C.8 HSS-ID.C.9
Determine the function of best fit and create a linear equation from least squares regression using technology.
HSS-ID.B.6a HSS-ID.B.6b HSS-ID.C.7
Use residuals to assess the strength of the model for a data set.
HSS-ID.B.6b HSS-ID.B.6c
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.
HSS-ID.B.6a HSS-ID.C.7 HSS-ID.C.9
HSS-ID.B.6 HSS-ID.C.7 HSS-ID.C.8 HSS-ID.C.9
HSS-ID.B.6 HSS-ID.C.7 HSS-ID.C.8 HSS-ID.C.9 N.Q.A.1
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