Wyoming Math 6.SP.5

6.SP.5 is a cluster heading. These are the individual standards under it.

• 6.SP.5b

  Describe the context of the data under investigation, including how it was measured and its units of measurement.

• 6.SP.5c

  Find quantitative measures of center (median, mode and mean) and variability (range and interquartile range). Describe any overall pattern (including outliers, ...

• 6.SP.5d

  Justify the choice of measures of center (median, mode, or mean) based on the shape of the data distribution and the context in which the data was gathered.

01

What Students Need to Do

Students report how many values are in a data set, what was measured, and the units. They find the mean, median, mode, range, and interquartile range. They describe clusters, outliers, and the shape of the data, then choose a center that fits the context.

02

What Mastery Looks Like

A student can make a dot plot of walk times, calculate the measures correctly, and describe where most times fall. They can explain why the median describes a typical walk better than the mean when one walk takes much longer than the rest.

03

Common Misconceptions

Students may confuse the sample size with the sum of the values or leave units off their answers. They may subtract the smallest value from the largest to find interquartile range, or choose the mean without checking for an outlier.

04

How to Assess It

Exit ticket: Eight students timed their walks to school in minutes: 4, 5, 5, 5, 6, 7, 8, 24. Report the sample size, mean, median, mode, range, and interquartile range; identify the cluster and outlier, and explain which center best describes a typical walk.

1. 01

   Measure ten classroom objects in centimeters, put each length on a sticky-note dot plot, and calculate the median and interquartile range.

2. 02

   Display walk times of 4, 5, 5, 5, 6, 7, 8, and 24 minutes; ask which center best represents a typical walk.

3. 03

   Deal eight number cards per group; students build dot plots, swap plots, and check each other's mean, median, mode, range, and interquartile range.

4. 04

   Copy seven local daily high temperatures, note degrees Fahrenheit, and compare mean and median after raising one day's high by 30 degrees.

• 6.SP.4

  Display numerical data in plots on a number line, including dot plots, stem-and-leaf plots, histograms, and box plots.

• 7.SP.4

  Given measures of center and variability (mean, median and/or mode; range, interquartile range, and/or standard deviation), for numerical data from random sampl...