➕ 6th Grade Math · Unit 8

Statistics

16 short narrated lessons in 3 chapters, each with pictures, a quiz with a hint and a second try, and an explanation for every answer.

Standards: 6.SP.A.1 6.SP.A.2 6.SP.B.4 6.SP.B.5 6.SP.A.3

Picture from the lesson “Statistical Questions”
Statistical Questions
Picture from the lesson “Dot Plots”
Dot Plots
Picture from the lesson “Histograms”
Histograms

What your child will learn

Statistical questions and data displays

  1. Statistical QuestionsTell apart a statistical question, which expects answers that vary, from a question with one answer.
  2. Dot PlotsMake a dot plot and describe the center, spread and shape of the data.
  3. HistogramsGroup data into equal intervals and make a histogram.
  4. Describing Data SetsReport the number of observations, what was measured and the units, and describe the overall shape of a distribution.
  5. Statistical Questions and Data Displays Review ReviewReview statistical questions and ways to display data.

Measures of center

  1. The Mean as Fair ShareFind the mean of a data set by adding the values and dividing by how many there are, like sharing equally.
  2. The Mean as Balance PointExplain the mean as the point where a dot plot would balance.
  3. The MedianFind the median of a data set as the middle value when the data are in order.
  4. Choosing Mean or MedianDecide whether the mean or the median better describes the center of a data set with an outlier.
  5. Measures of Center Review ReviewReview mean and median.

Measures of variability

  1. RangeFind the range of a data set as the difference between the greatest and least values.
  2. Mean Absolute DeviationFind the mean absolute deviation as the average distance of the data values from the mean.
  3. Quartiles and Interquartile RangeFind the quartiles and interquartile range of a data set.
  4. Box PlotsMake a box plot from the five-number summary and use it to describe the data.
  5. Measures of Variability Review ReviewReview range, interquartile range, mean absolute deviation and box plots.
  6. Unit 8 Test: StatisticsShow what you learned in the whole unit (Statistical questions and data displays, Measures of center, Measures of variability) by answering mixed questions.

Try a question from this unit

From the lesson “Statistical Questions”

Which of these is a statistical question?

  • How many pets does Leo have?
  • How many legs does a spider have?
  • How many pets does each student in our grade have?
  • What color is the school bus?
Show the answer

How many pets does each student in our grade have?. The number of pets changes from student to student, so the answers vary and the question is statistical. The question about Leo is tempting because it is about pets too, but Leo has just one number of pets.

Hint kids see after a wrong try: “Picture asking the question. Would you collect many answers that differ, or just one?”

Key words

  • statistical question
  • variability
  • dot plot
  • distribution
  • histogram
  • interval
  • frequency
  • observation
  • shape
  • cluster
  • mean
  • average
  • balance point
  • median
  • outlier
  • center
  • range
  • mean absolute deviation
  • quartile
  • interquartile range
  • box plot
  • five-number summary

Try these lessons in Kids Shelf

Narrated lessons, pictures and quizzes for every grade from K to 8. Works offline.

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