Who is The Outlier?
Engage students in a fun way to overcome barriers of new vocabulary by applying statistical terms and analysis to readily available data in and around the classroom.
Standards
Idea Sheets are cross-referenced to subjects listed in the Common Core, Next Generation Science Standards, and California Content Standards.
Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 4||Mathematical Practices|||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 5||Mathematical Practices|||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 6||Mathematical Practices|||6.SP.1. Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. For example, “”How old am I?”” is not a statistical question, but “”How old are the students in my school?”” is a statistical question because one anticipates variability in students? ages.||Common Core Mathematics||Grade 6||Statistics And Probability||Develop Understanding Of Statistical Variability|||6.SP.2. Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.||Common Core Mathematics||Grade 6||Statistics And Probability||Develop Understanding Of Statistical Variability|||6.SP.3. Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.||Common Core Mathematics||Grade 6||Statistics And Probability||Develop Understanding Of Statistical Variability|||6.SP.4. Display numerical data in plots on a number line, including dot plots, histograms, and box plots.||Common Core Mathematics||Grade 6||Statistics And Probability||Summarize And Describe Distributions|||6.SP.5. Summarize numerical data sets in relation to their context, such as by:||Common Core Mathematics||Grade 6||Statistics And Probability||Summarize And Describe Distributions|||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 7||Mathematical Practices|||7.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.||Common Core Mathematics||Grade 7||Statistics And Probability||Use Random Sampling To Draw Inferences About A Population|||7.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.||Common Core Mathematics||Grade 7||Statistics And Probability||Use Random Sampling To Draw Inferences About A Population|||7.SP.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.||Common Core Mathematics||Grade 7||Statistics And Probability||Draw Informal Comparative Inferences About Two Populations|||7.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.||Common Core Mathematics||Grade 7||Statistics And Probability||Draw Informal Comparative Inferences About Two Populations|||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 8||Mathematical Practices|||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||High School||Mathematical Practices
1.2 Identify the mode(s) for sets of categorical data and the mode(s), median, and any apparent outliers for numerical data sets.||CA Mathematics||Grade 4||04. Statistics, Data Analysis, and Probability||1.0 Students organize, represent, and interpret numerical and categorical data and clearly communicate their findings.|||1.1 Know the concepts of mean, median, and mode; compute and compare simple examples to show that they may differ.||CA Mathematics||Grade 5||04. Statistics, Data Analysis, and Probability||1.0 Students display, analyze, compare, and interpret different data sets, including data sets of different sizes.|||1.1 Compute the range, mean, median, and mode of data sets.||CA Mathematics||Grade 6||04. Statistics, Data Analysis, and Probability||1.0 Students compute and analyze statistical measurement for data sets.|||1.2 Understand how additional data added to data sets may affect these computations of measures of central tendency.||CA Mathematics||Grade 6||04. Statistics, Data Analysis, and Probability||1.0 Students compute and analyze statistical measurement for data sets.|||1.3 Understand how the inclusion or exclusion of outliers affect measures of central tendency.||CA Mathematics||Grade 6||04. Statistics, Data Analysis, and Probability||1.0 Students compute and analyze statistical measurement for data sets.|||1.4 Know why a specific measure of central tendency (mean, median, mode) provides the most useful information in a given context.||CA Mathematics||Grade 6||04. Statistics, Data Analysis, and Probability||1.0 Students compute and analyze statistical measurement for data sets.|||1.1 Know various forms of display for data sets, including a stem-and-leaf plot or box-and-whisker plot; use the forms to display a single set of data or to compare two sets of data.||CA Mathematics||Grade 7||04. Statistic, Data Analysis, and Probability||1.0 Students collect, organize, and represent data sets that have one or more variables and identify relationships among variables within a data set by hand and through the use of an electronic spreadsheet software program.|||1.3 Understand the meaning of, and be able to compute, the minimum, the lower quartile, the median, the upper quartile, and the maximum of a data set.||CA Mathematics||Grade 7||04. Statistic, Data Analysis, and Probability||1.0 Students collect, organize, and represent data sets that have one or more variables and identify relationships among variables within a data set by hand and through the use of an electronic spreadsheet software program.
- Grades 3-5
- Grades 6-8
- Math