Evidence of Understanding

**use mean, median, and mode to aggregate and interpret univariate data**- describe what is gained and lost by interpreting a data set using the
**mean**,**median**, or**mode** - describe how
**frequency**and**range**impacts mean, median, and mode- Interpret statistical representations such as box plots, dot pots, histograms, bar graphs, tables, etc. where some data points occur with a frequency > 1

- describe 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

- explain the effect of an extreme
- identify which value(s) can be added to the data set that do not alter the median, mean, or mode and justify why

- describe what is gained and lost by interpreting a data set using the
**use range and density to describe how individual data points relate to the mean**- use range and
**density**of points towards the center to describe the**variability**of a data set - use
**standard deviation**to describe how range and variation are related to the mean - use a data set’s distribution to consider and justify where other data points may lie in relation to the mean
- interpret the
**spread**and mean of a**statistical distribution**.

- use range and
**interpret and describe connections between the frequency and distribution across different representations (graphs, tables, or charts)**- Determine the extent to which the difference matters
- Articulate the relationship between a
**normal distribution**(a result of a**continuous random variable**) and a**binomial distribution**(a result of a**discrete random variable**). - Compare the experimental and theoretical probability of a sample space using areas in the distribution curve

Develop conceptual understanding:

statistics, univariate, measures of center, mean, median, mode, frequency, range, outlier, density, variability, standard deviation, distribution, spread, normal distribution, binomial distributionSupporting terms to communicate:

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