Search the California Content Standards

Cluster:
Develop understanding of statistical variability.

Standard:
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.

Cluster:
Develop understanding of statistical variability.

Standard:
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.

Cluster:
Develop understanding of statistical variability.

Standard:
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.

Cluster:
Summarize and describe distributions.

Standard:
Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

Cluster:
Summarize and describe distributions.

Standard:
Summarize numerical data sets in relation to their context, such as by: Reporting the number of observations.

Cluster:
Summarize and describe distributions.

Standard:
Summarize numerical data sets in relation to their context, such as by: Describing the nature of the attribute under investigation, including how it was measured and its units of measurement.

Cluster:
Summarize and describe distributions.

Standard:
Summarize numerical data sets in relation to their context, such as by: Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.

Cluster:
Summarize and describe distributions.

Standard:
Summarize numerical data sets in relation to their context, such as by: Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.

Cluster:
Use random sampling to draw inferences about a population.

Standard:
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.

Cluster:
Use random sampling to draw inferences about a population.

Standard:
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.