4.34 Range of data for Canadian TV ratings: Numeris (formerly BBM Canada) collects Canadian television ratings data (en.numeris.ca). The following are the average number of viewers per minute (in thousands) for the top 30 English-language shows for 1 week. The NHL playoffs are listed at 1198, which indicates that an average of 1,198,000 viewers watched per minute. When these data were collected, Big Bang Theory was in the number 1 position, with 2 Broke Girls at number 30. 3117 2935 2216 2128 1785 1735 1616 1602 1548 1519 1513 1476 1462 1263 1201 1198 1193 1189 1186 1155 1117 1102 1079 1057 1036 1034 1008 925 902 887

a. What is the range of these data?

b. What is the interquartile range of these data?

c. How does the IQR you calculated in part

(b) differ from the range you calculated in part (a), and why is it different?