3. Averages 1, 2, 3, 4, 5 1, 2, 2, 31, 4, 4 3, 5, 6, 6 8, 8, 8, 46, 10, 8, 6 4, 1, 14, 9, 210, 6, 5 7, 7, 6, 4 M, M, M, R “The difference between the highest and lowest values” Range “Mode is the Most common number” Mode “Median is the Middle value after they have been put in order of size” Median “It’s mean coz U av 2 work it out” Mean = Total No. of items Mean Calculate the mean, median, mode and range for these sets of data

4. Mean from frequency table 50 pupils were asked how many coins they had in their pockets - Here are the results xxxxxxx ======= = 50 Total no. = 0 + 9 + 20 +39 +32+15+ 0 = 115 of coins Calculate the mean no. of coins per pupil Mean = Total coins = 115 No. of pupils 50 = 2.3 coins per pupil Calculate the median, mode and range Median at 25/26 pupil (50 in total) 000000011111111122222222223333333333333.. Median = 2 coins 25 th 26 th Mode (from table) = 3 coins Range = 5 - 0 = 5 Now work out the Mean, Median, Mode, Range for this set of pupils 2.17224

5. Estimating the mean In the Barnsley Education Authority the number of teachers in each school were counted. Here are the results: Calculate an estimate of the mean number of teachers per school Step 1 Find mid - points Mid Points 4.5 14.5 24.5 34.5 44.5 Step 2 Estimate totals and overall number of teachers Step 3 Divide overall total by no. of schools x x x x x = = = = = Totals 9 159.5 343 897 756.5 2165 70 Now work out an estimate of the mean no. of teachers per school here: 14.17 teachers per school Est. mean = Est. no. of teachers No. of schools = 2165 = 30.9 70 = 31 teachers per school