1. An entrepreneur faces many bureaucratic and legal hurdles when starting a new business. The World Bank collects information about starting businesses throughout the world. It has determined the time, in days, to complete all the procedures required to start a business. Data for 187 countries are included in the data set, TTS. For this section, we examine data, rounded to integers, for a sample of 26 of these countries.

1. Find the mean time to start a business for 26 countries in our data set: (4p)

2. Find the median time to start a business for 26 countries in our data set: (4p)

3. Compute the standard deviation of time to start a business for 26 countries in the data set: (4p)

4. Compute the quartiles (Q1, Q2, Q3), and find the IQR for these data.? Use the 1.5 I Q R rule to identify if there are any outliers in the time to start a business data set. If there are any, name outliers. (6p)

5. Which measure do you prefer for describing the center of this distribution? Explain your answer. (8p)

6. Which measure do you prefer for describing the spread of this distribution? Explain your answer. (8p)

7. Make a boxplot for these data, show the five-number summary in the boxplot, and explain & describe the distribution using only the information in the boxplot. (7p)

1 Country 2 Bahrain 3 Bhutan 4 Brunei Darussalam 5 Bulgaria 6 Congo, Rep. 7 Dominican Republic 8 El Salvador 9 Finland 10 Guatemala 11 Guyana 12 Japan 13 Jordan 14 Kiribati 15 Lao PDR 16 Lesotho 17 Mozambique 18 Myanmar 19 Nepal 20 New Zealand 21 Samoa 22 Sao Tome and Principe 23 Serbia 24 Togo 25 Turkey 26 United States 27 West Bank and Gaza 28 TimeToStart 11 14 14 25 51 19 19 16 29 20 14 14 33 69 31 21 59 28 3 11 9 0 00 8 8 9 0 0 0 8 64