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Cogito

Probability and Statistics · Chapter 2 · Lesson 1

Practice Worksheet

Mean, Median, and Mode

Three centres, and when each one lies.

12 problems · about 20 minutes · TEKS P.S.1.D, S-ID.A.2

NameDate

Figure — use these to answer the problems

Push one value far to the right. Watch how much it would move a mean, and how little it moves the middle.
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Score
Score 11
Score 23
Score 34
Score 43
Score 51
Score 80
Figure 1

Warm Up

Straightforward practice. Get the method working first.

5 problems

  1. Data 3, 7, 11. What is the mean?

    Answer

  2. Which measure of centre resists outliers?

    • The median.
    • The mean.

  3. Data 2, 4, 6. Mean?

    Answer

  4. Data 1, 3, 3, 7. Median?

    Answer

  5. Data 2, 5, 5, 5, 9. Mode?

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. Data 10, 20, 30, 40. Mean?

    Answer

  2. A distribution is skewed right. Is the mean above or below the median? 1 above, 2 below.

    Answer

  3. Which measure works for categorical data? 1 mean, 2 median, 3 mode.

    Answer

Stretch Yourself

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

4 problems

  1. Sort each situation by which centre reports it best.

    Write each item under the heading it belongs to: Symmetric test scores, no outliers · Heights of a class · House prices with a few mansions · Incomes in a small town

    Use the mean

    Use the median

  2. Data 5, 5, 5, 5. Mean?

    Answer

  3. The Average

    Data 4, 6, 8, 10, 12. What is the mean?

    Answer

  4. The Middle

    Data 3, 5, 9, 11, 100. What is the median?

    Answer