EXAMPLE 1.23

The distribution of business start times. An entrepreneur faces many bureaucratic and legal hurdles when starting a new business. The World Bank collects information about starting businesses throughout the world. They have determined the time, in days, to complete all the procedures required to start a business.20 Data for 189 countries are included in the data set, TTS. For this section, we examine data, rounded to integers, for a sample of 24 of these countries. Here are the data:

16 4 5 6 5 7 12 19 10 2 25 19
38 5 24 8 6 5 53 32 13 49 11 17

The stemplot in Figure 1.13 shows us the shape, center, and spread of the business start times. The stems are tens of days and the leaves are days. The distribution is skewed to the right with a very long tail of high values. All but six of the times are less than 20 days. The center appears to be about 10 days, and the values range from 2 days to 53 days. There do not appear to be any outliers.

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Figure 1.13 Stemplot for the sample of 24 business start times, Example 1.23.