1. Allie and Annika decided to keep track of the number of books they read during the year. The table shows the total number of books read for five months. Number ofNumber of Books Read Reader Jan. Feb. March April May
Allie 7 3 12 5 8
Annika 4 2 9 7 5
(a) Create a box-and-whisker plot with a single number line to compare the two data sets. Use the minimum and maximum values of the data points to choose an appropriate scale for the number line. (b) Which girl’s data set has the lesser median? (c) How did you determine the value in the first quartile (Q1 value) for Allie? (d) In which quarter of Annika’s data are the values most spread out? Explain. (e) Compare the interquartile range (IQR) for both data sets. Show your work.

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)