Grade 6 Math · Statistics & Probability

Describe a distribution in context

Describe a distribution in context.

Practice more with MathNivoAndroid app coming soonExplore the idea here, then continue practicing in the Android app when available.

What you’ll learn

Describe a distribution in context.

Key idea

Use minute units and preserve the observation scope; similar sample sizes need not imply matching summaries.

Center and spread are separate sample summaries; equal sample sizes do not imply equal summaries, and sample summaries do not guarantee every school student's value.

Worked example

Enter the exact value or ordered values in the format requested below.

Eight observed reading times are (2, 10, 18, 26, 34, 42, 50, 58) minutes. Use median-of-halves; enter median,IQR as two comma-separated exact numbers.

  1. Eight observations give median=(26+34)/2=30; half medians give IQR=32.
  2. The measured range is 2-58 minutes; statements describe these samples, not every school student.

Answer: 30,32

Quick Check

Interpret the result of 'Describe a distribution in context' in the data-generating context, including units and population limits.

Observed times (6, 7, 8, 9, 10, 11, 12, 13) minutes have median 19/2,IQR 4. Select a concise supported contextual summary.

Choose one answer

Show a hint

Summarize center and middle-half spread as separate properties.