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Cogito

Algebra 2 · Chapter 8 · Lesson 2

Practice Worksheet

Reading a Box Plot

Five numbers that describe a whole data set.

11 problems · about 22 minutes · S-ID.A.1, S-ID.A.2

NameDate

Figure — use these to answer the problems

The box, with the values it came from drawn beneath.
020
  • Minimum3
  • Lower quartile5
  • Median8
  • Upper quartile13
  • Maximum19
  • Interquartile range8
Value 13
Value 25
Value 37
Value 48
Value 59
Value 613
Value 719
Figure 1

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. Q1 = 4, Q3 = 15. IQR?

    Answer

  2. Q1 = 10, Q3 = 22. IQR?

    Answer

  3. What percent of values lie below the median?

    Answer

  4. What percent lie above Q3?

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. Does a wider region hold more values? 1 for yes, 0 for no.

    Answer

  2. How many numbers make up the five-number summary?

    Answer

  3. Sort each statistic by whether raising the largest value changes it.

    Write each item under the heading it belongs to: Maximum · Median · Q1 · Mean

    It moves

    It stays put

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

4 problems

  1. Min 2, max 30. What is the range?

    Answer

  2. Does the IQR use the extremes? 1 for yes, 0 for no.

    Answer

  3. The Spread

    Q1 = 5 and Q3 = 13. What is the IQR?

    Answer

  4. The Share

    What percent of values lie between Q1 and Q3?

    Answer