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[11. The numbers ofyears of service for teachers in a small town are listed below: 1, 6,11,26,21, 18, 2, 5, 27, 33, 7, 15, 22, 30, 8,31, 5, 25, 20, 19, 4, 9, 19, 34, 3, l, 6, 23, 31, 10, 42, 31, 26, 19, 3, 12, 14, 28, 32,1,11, 24, 34, 16, 1,13, 29,10, 12, Find the following a Mean = Median= Mode= I Range= Variance: Standard Deviation: - Lower Quartile= Upper Quartile= Inter Quartile Range= a Z -score for services )4: = l and x= 28 a First SD interval from the mean = Number of data = % of data = a Second SD interval hour the mean= Number of data = % of data: 0 Third SD interval from the mean= Number of data = % of data = Using the above data, construct a 'equency distribution table with a bin size of 5. Make a histogram showing class boundaries. How many teachers have worked for less than 5 years? If teachers are able to retire when they have taught for 30 years or more, how many are eligible to retire? What percentage of the teachers still have to teach for 10 years or fewer before they are eligible to retire? ( Marks 5)