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City Library: Late-Return Patterns worksheet preview

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City Library: Late-Return Patterns

Analyze city library late-return records using histograms, box plots, and frequency tables to connect center, spread, and shape.

Grade 6MathInteractive · Printable

Aligned to6.SP.A.2

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 14 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 6
Subject
Math
Question types
Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

  • Students describe the center, spread, and overall shape of late-return distributions.
  • Students interpret data displays to make decisions and evaluate statistical summaries.
  • Students explain why a distribution's center may fall where few or no observations occur.

How to use

Use after introducing histograms and box plots. Have students annotate the displays, then discuss why a useful summary includes more than a typical value.

Curriculum

Common Core standard covered

6.SP.A.2

Understand that a set of data has a distribution that can be described by its center, spread, and overall shape.

Preview

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Name Date

City Library: Late-Return Patterns

Use center, spread, and shape to describe late-return records.

1. Returned Books

The city library recorded how many whole days late 20 books were returned. Each histogram interval includes its left endpoint but not its right endpoint. Use this histogram for questions 1–5.

0123456789101357911Days lateBooks
1.
Which summary best describes the distribution as a whole?
  • A. The records cluster near 9–10 days, with a tail toward shorter delays.
  • B. The records cluster at short delays, with a tail toward longer delays.
  • C. The records are spread evenly, with similar counts in all intervals.
  • D. The records form two equal clusters, separated by an empty interval.
2.
There are 20 records. Which statement correctly locates the median without claiming more precision than the histogram provides?
  • A. The median is at least 1 day but less than 3 days.
  • B. The median is exactly 6 days because the axis runs from 1 to 11.
  • C. The median is exactly 3 days because the second bar starts at 3.
  • D. The median is at least 3 days but less than 5 days.

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