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6th grade · Math · Unit 14 of 17

Center & Spread

Mean, median, range and IQR

What your child practices

Telling a statistical question from a regular question, and describing data with the mean, median, range and interquartile range.

Washington State Learning Standards learning standard: M.6.DA.SP.1; M.6.DA.SP.3; M.6.DA.SP.5 · recognizing statistical questions and summarizing data with measures of centre and variability

How we explain it

Children can open this short lesson before they practice.

  1. Mean: add the values and divide by how many there are.
  2. Median: the middle value in order. Range: greatest − least.
  3. IQR: Q3 − Q1, the spread of the middle half.

Example: What is the mean of 4, 7, 9 and 12? 4 + 7 + 9 + 12 = 32. 32 ÷ 4 = 8. Answer: 8

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    What is the interquartile range (IQR) of 29, 37, 37, 21, 28, 40, 23, 17?

    • 15
    • 23
    • 22
    • 12
    • 37

  2. Question 2

    What is the mean of 3, 18, 5, 16, 13?

    • 13
    • 15
    • 12
    • 11
    • 14

  3. Question 3

    The data 10, 13, 16, 17, 18, 88 has one very large value. Which measure describes the typical value best?

    • The mean
    • The range
    • The median

  4. Question 4

    Which is a statistical question?

    • How tall is the school flagpole?
    • How tall are the sunflowers in the school garden?
    • How many hours did I sleep last night?
    • How many students are in Room 12?

  5. Question 5

    What is the range of 25, 27, 60, 27, 4, 10?

    • 56
    • 57
    • 26
    • 53
    • 60

  6. Question 6

    What is the median of 1, 30, 18, 2, 16, 23, 14?

    • 16.5
    • 16
    • 2
    • 15
    • 17

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