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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
  1. Home/
  2. Mathematics/
  3. Grade 6/
  4. Unit 6/
  5. Spread: Range & IQR
Grade 6 · Unit 6Topic 2 of 3~13 min

Spread: Range & IQR

Two ways to measure how spread out a data set is.

All topics in this unit
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 1 · Learn

Walkthrough

Read this first — it covers the idea in plain language with a worked example.

Range

Range is the simplest measure of spread: the largest value minus the smallest value. It's quick, but a single extreme value can stretch it a lot.

Worked example

Find the range of 2, 5, 7, 8, 11, 14, 20.

  1. →Largest − smallest.
  2. →20 − 2 = 18.

Interquartile range (IQR)

IQR measures the spread of the middle 50% of the data. Because it ignores the extreme high and low values, it is less affected by outliers than the range.

Tip

IQR = upper quartile (Q3) − lower quartile (Q1).

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 2 · Watch

Video walkthrough

Watch the main video, then check the second take if you want another explanation.

Khan Academy

Range and Interquartile Range

Compare the full spread vs. the middle 50%.

Watch on YouTube
Math with Mr. J

Interquartile Range (IQR)

Measure the spread of the middle half of your data.

Watch on YouTube
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 3 · Practice

Practice

Try a worksheet or work through some problems before the quiz.

Khan Academy

Spread & variability practice

Open resource
πΣ√≠≤+αβΔπΣx²θ÷+
Step 4 · Check

Quick check

A couple of questions to make sure this topic stuck. Retake as many times as you want.

Spread: Range & IQR

Question 1 of 3

Easy

Find the range of 2, 5, 7, 8, 11, 14, 20.

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Previous · Topic 1 of 3Statistical Questions & Center→Next up · Topic 3 of 3Choosing the Right Display