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Cogito

AP Statistics · Chapter 1 · Lesson 1

Practice Worksheet

Describing a Distribution

Shape, centre, spread, and the odd one out.

11 problems · about 24 minutes · AP Statistics 1.5, 1.6, 1.7

NameDate

Figure — use these to answer the problems

Build a distribution and read its shape.
Low8
Mid-low5
Mid-high2
High1
Low8
Mid-low5
Mid-high2
High1
Figure 1

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. Values 3, 7, 8, 9, 200. What is the median?

    Answer

  2. Values 2, 4, 6. What is the mean?

    Answer

  3. Values 1, 2, 3, 4, 90. What is the median?

    Answer

  4. Q1 = 10 and Q3 = 22. What is the IQR?

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. Sort each measure by whether an outlier moves it much.

    Write each item under the heading it belongs to: Median · Mean · IQR · Standard deviation

    Resistant

    Sensitive

  2. Left-skewed. Is the mean below the median? 1 for yes, 0 for no.

    Answer

  3. Roughly symmetric with no outliers. Report the mean? 1 for yes, 0 for no.

    Answer

Stretch Yourself

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

4 problems

  1. Values 5, 5, 5, 5. What is the standard deviation?

    Answer

  2. Order the four things you describe about any distribution.

    Write 1 to 4 in the boxes to put these in order.

    • Shape
    • Centre
    • Spread
    • Outliers

  3. The Median

    Values 4, 8, 9, 12, 100. What is the median?

    Answer

  4. The Skew

    In a right-skewed distribution, is the mean above the median? 1 for yes, 0 for no.

    Answer