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Second/Data Graphing

Mean, Median, Mode, Range

Calculate the mean, median, mode, and range of a data set.
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Prerequisites
Reading Pictographs9 WS
If each star = 2 books, how many books did Ali read (3 stars)?
(A) 3 (B) 5 (C) 6 (D) 2

Practice Questions

  1. Find the Mode of this set: 3, 5, 3, 8, 9, 3
    Show answer

    (A) 3

  2. Find the Range of this set: 10, 2, 5, 8, 12
    Show answer

    (C) 10

  3. Find the Median of this set: 4, 1, 7, 9, 2
    Show answer

    (B) 4

  4. Find the Mean (Average) of this set: 2, 4, 6, 8, 10
    Show answer

    (B) 6

  5. Find the Mode of this set: 7, 2, 7, 5, 7, 1
    Show answer

    (C) 7

Quick Tip
Mean: Average (Add all, divide by count).
Median: Middle number (Order first!).
Mode: Most common number.
Range: Biggest - Smallest.
Teacher Resources
Teaching Notes

Teach the rhyme: 'Hey diddle diddle, the Median's the middle; you add and divide for the Mean. The Mode is the one that appears the most, and the Range is the difference between.'

Vocabulary
Mean: The average of a set of numbers.
Median: The middle number in an ordered set.
Mode: The number that appears most often.
Range: The difference between the highest and lowest.
Common Mistakes
  • Forgetting to order numbers for Median
  • Confusing Mean and Median
  • Not ordering numbers for median
  • Confusing mean/median/mode
  • Incorrect range calculation
  • Arithmetic errors during mean
Differentiation
SupportFocus on Mode and Range first.
ChallengeFind the mean of a set with a decimal answer.
Discussion Questions
  • Which average (mean, median, mode) is best for describing the data?
  • When is the mean most useful?
  • Why is ordering important for median?
  • Can a data set have no mode?
  • How does an outlier affect range?
Extension Activities
  • Collect class data (shoe size) and find the stats.
Parent Tip

Calculate the average of family members' ages.

Learning Path
Skill Cluster

Data Analysis & Statistics

Estimated Time

20 minutes

Skills Practiced
Basic statistics