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

Here are the heights (in inches) of 12 students in a seminar. 73, 69, 64, 62, 72, 66, 70, 74, 60, 65, 61, 68 What is the percentage of these students who are shorter than 63 inches?

Find mode 22,25,23,53,45,12,22,12,45,22

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

find range and midrange for given population   401,508,859,657,256,520,862,358,452,958,632,855,999,845,356,758,124

Find the median of the first 9 natural numbers.

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