The U.S. Census Bureau records the population for the 50 states each year. The accompanying table shows a portion of these data for the years 2010 to 2018.

a. Bin the 2017 population values into four equal-size groups. Label the groups using numbers 1 (lowest values) to 4 (highest values). How many states are assigned to group 4?

b. Bin the 2018 population values into four equal-interval groups. Label the groups using numbers 1 (lowest values) to 4 (highest values). How many states are assigned to group 2? Compare the groups in parts a and b. Which states are in higher groups for the 2018 population than for the 2017 population?

c. Bin the 2018 population values into the following three groups: < 1,000,000, between 1,000,000 and 5,000,000, and > 5,000,000. Label the groups using numbers 1 (lowest values) to 3 (highest values). How many observations are assigned to group 2? 

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State 2010 Alabama 4,785,448 Alaska 713,906 1 Wyoming B 564,483 2011 4,798,834 722,038 B 567,224 ⠀ 2018 4,887,871 737,438 I 577,737