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Cogito

Integrated Math 1 · Chapter 8 · Lesson 1

Practice Worksheet

Summarising One Variable

Centre, spread, and shape.

12 problems · about 20 minutes · S-ID.A.2, S-ID.A.3

NameDate

Figure — use these to answer the problems

Change the values and watch the median and quartiles respond. Extreme values move the box far less than they move a mean.
020
  • Minimum4
  • Lower quartile6
  • Median9
  • Upper quartile14
  • Maximum18
  • Interquartile range8
Value 14
Value 26
Value 38
Value 49
Value 511
Value 614
Value 718
Figure 1

Warm Up

Straightforward practice. Get the method working first.

5 problems

  1. Data 6, 10, 14. What is the mean?

    Answer

  2. Which pairing is consistent?

    • Median with interquartile range.
    • Median with standard deviation.

  3. Data 3, 5, 7. Mean?

    Answer

  4. Data 2, 4, 6, 8, 20. Median?

    Answer

  5. Data 5, 9, 14, 20. Range?

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. Q1 = 6, Q3 = 15. IQR?

    Answer

  2. Which centre resists outliers? 1 mean, 2 median.

    Answer

  3. Which spread ignores the extremes? 1 range, 2 IQR.

    Answer

Stretch Yourself

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

4 problems

  1. Sort each measure by which summary it belongs with.

    Write each item under the heading it belongs to: Standard deviation · Symmetric data · Interquartile range · Skewed data

    Goes with the mean

    Goes with the median

  2. Data 10, 20, 30, 40, 50. Mean?

    Answer

  3. The Mean

    Data 4, 8, 12, 16. What is the mean?

    Answer

  4. The Median

    Data 200, 210, 220, 230, 900. What is the median?

    Answer