ind the 5 number summary for the data shown, 5,20,33,45,47,67,71,85,6,26,34,46,66,69,80

Eight movies based on Marvel comic book characters for the U.S. box office as of fall 2017 are shown in the accompanying table, with domestic gross rounded to the nearest million. Find and interpret the median domestic gross of the top five of these eight Marvel movies.

After the rule change between 2006 and 2007 that permitted teams to prepare their own footballs, new fumble statistics were accumulated for the 8 years from 2007 thru 2014. Once again, the average fumbles per touch for each of 23 teams during this time period are given below: The numbers are the actual numbers. They are not just invented for this assignment. 36,38,40,40,44,44,44,44,46,46,46,46,48,48,48,48,50,50,50,52,52,56,74. During the 2007-2014 period, the New England Patriots fumbled the ball one time for every 74 touches. Conduct a z-test that tests whether it is reasonable to think that the Patriots had no particular competitive advantage on fumbling during the time period 2007-2014.

find 56th percentile   101,110,112,116,114,113,105,106,107,114,106,108,107

Explain why in a group of 20 people there must be at least two people who share the same birth month.

find 76th percentile   100,109,120,135,125,142,126,108,110,135,120,145,123

Find the mean, median, 1rst quartile and 3rd quartile of the following numbers:  61,65,66,69,70,72,73,75,78,80,83,84,87

Paleontology students went on a dig for fossils. The following data set contains the number of fossils found by a sample of 12 students.   9,12,8,49,15,12,21,17,19,13,18,119,12,8,49,15,12,21,17,19,13,18,11   Click to download the data in your preferred format.   CrunchIt!    CSV   Excel   JMP   Mac Text    Minitab   PC Text   R   SPSS   TI Calc   What is the median number of fossils found by the students? median:   fossils

find 38th percentile   105,108,120,115,112,116,115,118,119,120,111,125,135,114

Find the interquartile range of 41,61,64,68,70,74,77,79,81,83,83, 85,87,87,89,91,92,92,92,92,93,93, 93, 94, 94, 94, 95, 97, 98, 99