Use successive rolls of a die to produce numerical sequences, and investigate differences among the median, mean, and mode.

**Grades covered:**4 through 12

**Curriculum Topics:**Numerical Sequence, Mean, Median, Mode, Range

### Standards

Idea Sheets are cross-referenced to subjects listed in the Common Core, Next Generation Science Standards, and California Content Standards.

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|||7.SP.5. Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.||Common Core Mathematics||Grade 7||Statistics And Probability||Investigate Chance Processes And Develop, Use, And Evaluate Probability Models|||7.SP.6. Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. For example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times.||Common Core Mathematics||Grade 7||Statistics And Probability||Investigate Chance Processes And Develop, Use, And Evaluate Probability Models|||7.SP.7. Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.||Common Core Mathematics||Grade 7||Statistics And Probability||Investigate Chance Processes And Develop, Use, And Evaluate Probability Models

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.

**Categories include:**

- Grades 3-5
- Grades 6-8
- Math

**Tags:**Probability

**Subjects covered:**["Math"]