Evidence of Understanding

**aggregate univariate data and use measures of center and spread to interpret it**- interpret a data set’s
**center**using the**mean**or**median** - describe how
**frequency**impacts mean and median- interpret data sets where some points occur with a frequency greater than 1

- distinguish measures of center and analyze how information about the data set is conveyed
- explore how removing or adding a value to a data set impacts the mean and median
- explain the effect of an extreme
**outlier**on the mean compared to its effect on the median - describe how individual data points relate to the mean using range and density

- explain the effect of an extreme
- identify and justify values that can be added to the data set without altering the median or mean
- consider and justify where other data points may lie in relation to the mean using the
**distribution**of the data set

- consider and justify where other data points may lie in relation to the mean using the
- describe the
**variability**of a data set using range and**density**of points towards the center

- interpret a data set’s

**compare the center and spread of univariate data sets represented in multiple ways**- represent
**univariate**data in a variety of different ways:**box plots**,**stem and leaf**,**frequency tables**,**dot****plots**,**histograms**, cumulative frequency histograms- explain how features of a representation convey statistical information about a data set
- describe how a univariate representation
**aggregates**the data set

- interpret measures of center (mean and median) and spread (range and
**interquartile range**) from any representation of a univariate data set- analyze the relationship between range, variation, and the mean using
**standard deviation** - differentiate measures of center and spread across two or more data sets

- analyze the relationship between range, variation, and the mean using
- compare different ways of representing data sets and describe advantages of each type
- recognize what is gained and lost from the data set by creating a box plot
- explain how representations can yield different interpretations of and conclusions from data

- represent

Develop conceptual understanding:

statistics, measures of center, mean, median, mode, frequency, range, outlier, interquartile range, univariate, frequency table, dot plot, histogram, box plot, stem and leaf plot, density, variability, standard deviation, distribution

Supporting terms to communicate:

data point, data set, independent, dependent, domain, range, random, sample, categorized, summarized