EXAMPLE 1.16 A Stemplot of T-Bill Interest Rates

tbill50

CASE 1.1 The histogram that we produced in Example 1.12 to examine the T-bill interest rates used all 2895 cases in the data set. To illustrate the idea of a stemplot, we take a simple random sample of size 50 from this data set. We learn more about how to take such samples in Chapter 3. Here are the data:

7.1 5.9 3.5 5.1 6.0 5.2 1.9 7.0 2.9 9.2
5.2 7.2 9.4 5.1 0.1 6.1 8.6 3.0 0.1 2.0
4.0 6.3 13.3 9.3 13.9 0.1 4.4 0.3 4.6 5.1
4.9 7.3 6.3 5.2 1.0 7.1 2.5 7.3 11.2 9.6
5.1 0.1 0.3 5.3 4.2 0.3 4.8 2.9 1.4 8.4

The original data set gave the interest rates with two digits after the decimal point. To make the job of preparing our stemplot easier, we first rounded the values to one place following the decimal.

Figure 1.9 illustrates the key steps in constructing the stemplot for these data. How does the stemplot for this sample of size 50 compare with the histogram based on all 2894 interest rates that we examined in Figure 1.6 (page 13)?

image
Figure 1.9: FIGURE 1.9 Steps in creating a stemplot for the sample of 50 T-bill interest rates, Example 1.16. (a) Write the stems in a column, from smallest to largest, and draw a vertical line to their right. (b) Add each leaf to the right of its stem. (c) Arrange each leaf in increasing order out from its stem.