CCSS.Math.Content.HSS-ID.A

CCSS.Math.Content.HSS-ID.A is a cluster heading. These are the individual standards under it.

• CCSS.Math.Content.HSS-ID.A.1

  Represent data with plots on the real number line (dot plots, histograms, and box plots).

• CCSS.Math.Content.HSS-ID.A.2

  Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or...

• CCSS.Math.Content.HSS-ID.A.3

  Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).

• CCSS.Math.Content.HSS-ID.A.4

  Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets ...

01

What Students Need to Do

Students create and read dot plots, histograms, and box plots for numerical data. They describe shape, center, spread, and outliers. They also decide whether a normal model fits and use it to estimate percentages.

02

What Mastery Looks Like

Given a data set, students can choose a useful display and calculate appropriate measures of center and spread. They can describe shape, identify unusual values, and explain each result using the data's context and units.

03

Common Misconceptions

Students often treat the mean and median as interchangeable. They may ignore skew, confuse range with interquartile range, or assume every data set follows a normal curve.

04

How to Assess It

Give students the data 2, 3, 3, 4, 4, 5, 5, 6, 18. Ask them to draw a box plot, find the median and interquartile range, and describe the outlier.

1. 01

   Have students measure class reaction times, build a sticky-note dot plot, then calculate the median and interquartile range.

2. 02

   Show two histograms with equal means but different spreads, then ask students to write which group is more consistent and why.

3. 03

   Run a card sort matching data sets, graphs, summary statistics, and written descriptions of shape, center, spread, and outliers.

4. 04

   Use one month of local temperatures to make a histogram and estimate the percentage of days within one standard deviation of the mean.

• CCSS.Math.Content.1.MD.C.4

  Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, ...

• CCSS.Math.Content.6.SP.B.5

  Summarize numerical data sets in relation to their context, such as by:

• CCSS.Math.Content.6.SP.B

  Summarize and describe distributions.

• CCSS.Math.Content.HSS-ID.B

  Summarize, represent, and interpret data on two categorical and quantitative variables