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MODE Mode = the item that appears most often - the most common number 2, 3, 6, 4, 2, 2, 3, 6, 5 this group fruit group of of numbers In In this transport survey APPLES areMODE. the MODE. 2 is the MODE. CARS are the There more apples 2 appears more than any There areare cars than than anyvehicle other fruit. other number any other Click mouse MODE - continued Click mouse What is the mode in each of the following? :Click the mouse when you want to see each answer 10, 11, 10, 8, 5, 8, 10, 8, 6, 7, 8, 8, 9, 12 8 20, 20, 20, 20, 22, 22, 25, 25, 40, 40, 13, 13, 20, 20, 21, 21, 22, 22, 20, 20, 40, 40, 20 2, 4, 8, 2, 3, 3, 3, 2, 4, 4, 2, 2, 2, 9, 5, 2, 4 2 102, 105, 120, 102, 103, 104, 166, 124, 132 102 65, 61, 67, 66, 67, 66, 61, 66, 64, 66, 67, 65 66 Median The value of the middle number when they are arranged in order 10, 5, 2, 1, 8, 7, 6 1 2 First, put the numbers into order:5 6 7 8 10 middle Now find the number that is in the middle 6 is the MEDIAN Click mouse Median The value of the middle number when they are arranged in order 4, 19, 3, 22, 15, 1, 9 First, put the numbers into order:1 3 4 9 15 19 22 middle Now find the number that is in the middle 9 is the MEDIAN Click mouse Median - continued Click mouse Find the MEDIAN in the following:Click the mouse to see the answers 4, 9, 5, 2, 3, 10, 1 1 2 3 4 5 9 10 16 22 median 22, 16, 5, 29, 32, 10, 1 2, 6, 15, 24, 32, 10, 9 1 2 5 6 10 median 9 10 median 15 29 32 24 32 Now that you’ve got the idea of MEDIAN there’s just one more thing to remember! If there are an EVEN amount of numbers you can’t find the middle straight away…… 4 6 7 9 What’s the middle number? Click mouse for more 12 15 To find the median ADD the two middle numbers together, then DIVIDE by 2. 7 + 9 = 16 16÷ 2 = 8 So, the MEDIAN is 8 Click mouse Let’s find the median of this group of numbers 6, 5, 5, 7, 1, 4, 10, 7, 8 FIRST, put the numbers into ORDER 1 4 5 5 6 7 7 8 10 Make sure you’ve got the right amount – there are 9 numbers in this group MEDIAN NOW, find the middle Click mouse for more The MEDIAN is 6 Click mouse Let’s find the median of this group of numbers Click mouse for more 6, 5, 5, 7, 1, 4, 10, 7, FIRST, put the numbers into ORDER 1 4 5 5 6 7 7 10 Make sure you’ve got the right amount – there are 8 numbers in this group What is the MEDIAN? Add the middle two numbers: 5 + 6 = 11 NOW, find the middle Divide by 2 The MEDIAN is 5 . 5 11 ÷ 2 = 5 . 5 (or 5 ½) Try these: click the mouse when you are ready to see the answer Find the MEDIAN Find the middle 5, 9, 5, 3, 10, 5, 8, 6, 5, 10, 12 3 5 5 5 5 6 8 9 10 10 12 Make sure you’ve got 11 numbers in your list Put into order median Find the middle 5, 9, 7, 2, 1, 4, 9, 6, 11, 10, 42 Put into order 1 2 4 5 6 7 9 9 10 11 42 Make sure you’ve got 11 numbers in your list median Click mouse Mean Mean is another word for AVERAGE It’s easy to work out First, add all the numbers together:Then, divide by the number of items (the number of ‘numbers’!) 6 4 5 6 2 8 4 1 2 3 4 5 6 7 6 + 4 + 5 + 6 + 2 + 8 + 4 = 35 35 ÷ 7 = 5 5 is the MEAN Click mouse Mean Try this one – find the MEAN First, add all the numbers together:Then, divide by the number of items (the number of ‘numbers’!) 8 1 4 20 8 2 8 4 2 2 3 4 5 6 7 8 8 + 4 + 20 + 8 + 2 + 8 + 4 + 2 = 56 56 ÷ 8 = 7 7 is the MEAN Click mouse Click the mouse for help / answers Find the MEAN of these numbers:10, 12, 3, 21, 4, 8, 12, 5, 9, 6 1 2 3 4 5 6 7 8 9 10 10 + 12 + 3 + 21 + 4 + 8 + 12 + 5 + 9 + 6 = 90 15, 22, 12, 9, 6, 10, 3 1 2 3 4 5 6 7 15 + 22 + 12 + 9 + 6 + 10 + 3 = 77 90 ÷ 10 = 9 The MEAN is 9 77 ÷ 7 = 11 The MEAN is 11 5, 7, 10, 3, 12, 6, 7, 19, 5, 1, 13 1 2 3 4 5 6 7 8 9 10 11 88 ÷ 11 = 8 5 + 7 + 10 + 3 + 12 + 6 + 7 + 19 + 5 + 1 + 13 = 88 The MEAN is 8 Click mouse Questions on mode, median and mean Find the MODE and MEDIAN shoe size of 15 children whose shoe sizes are:- 4 2 3 4 4 5 3 6 3 7 5 4 4 3 1 Don’t forget – put the numbers in ascending order 1 2 3 3 3 3 4 4 4 4 4 5 5 6 7 Check you have 15 numbers The MODE is 4 The MEDIAN is 4 4 is the middle number 4 occurs most often Click more/ answer Click mouse mouse for for help Questions on mode, median and mean Find the Mean shoe size of 15 children whose shoe sizes are:- 4 2 3 4 4 5 3 7 3 8 Don’t forget – add all the shoe sizes together 5 4 4 3 1 Divide by the number of children 4 + 2 + 3 + 4 + 4 + 5 + 3 + 7 + 3 + 8 + 5 + 4 + 4 + 3 + 1 = 60 60 ÷ 15 = 4 The MEAN shoe size is 4 Click more/ answer Click mouse mouse for for help Questions on mode, median and mean Find the MODE, MEDIAN and MEAN of the following data: 17 0131 11 0 3 69 77 910100 11 0 1133 17 6 MODE is 0 MEDIAN is 7 Put in order; check you have 11 numbers MEAN: add all the numbers together divide by number of items (11) 0 + 0 + 1 + 3 + 6 + 7 + 9 + 10 + 11 + 13 + 17 = 77 77 ÷ 11 = 7 The MEAN is 7 Click mouse Click mouse for help / answer Questions on mode, median and mean Find the MODE, MEDIAN and MEAN of the following data: 10 14 10 15 10 11 11 12 10 12 11 14 10 15 10 15 10 10 10 11 11 11 12 14 15 15 MODE is 10 MEDIAN is 11 Put in order; check you have 9 numbers MEAN: add all the numbers together divide by number of items (9) 10 + 10 + 10 + 11 + 11 + 12+ 14 + 15 + 15 = 108 108 ÷ 9 = 12 The MEAN is 12 Click mouse Click mouse for help / answer Questions on mode, median and mean Find the MODE, MEDIAN and MEAN of the following data: 117 6 671783810 131313 131381717 13 313 10 1011 61111 7 Put in order; check you have 10 numbers MODE is 13 MEAN: add all the numbers together MEDIAN is (8 + 10)÷ 2 = 9 divide by number of items (10) 1 + 3 + 6 + 7 + 8 + 10 + 11 + 13 + 13 + 17 = 90 90 ÷ 10 = 9 The MEAN is 9 Click mouse Click mouse for help / answer The number of absences for each pupil in a class of 25 is shown in the table below. 0 18 0 3 1 Absences 1 0 0 3 2 2 0 1 1 2 5 20 2 24 2 5 3 4 0 3 a. Calculate the MEAN number of absences per pupil b. Find the MEDIAN number of absences per pupil Click mouse for help on next page a. Calculate the MEAN number of absences per pupil Absences 0 1 0 0 5 18 3 2 2 3 0 0 1 1 4 3 2 5 20 0 1 2 24 2 3 First, add together all the absences Then, divide by the number of pupils (25) 0 + 1 + 0 + 0 + 5 + 18 + 3 + 2 + 2 + 3 + 0 + 0 + 1 + 1 + 4 + 3 + 2 + 5 + 20 + 0 + 1 + 2 + 24 + 2 + 3= 102 It’s really important to include the 0s because you must count them in your total number of pupils The MEAN number of absences per pupil is 4·08 102 ÷ 25 = 4.08 Click mouse for next page b. Find the MEDIAN number of absences per pupil First, put all the absences in order Absences 0 1 0 0 5 18 3 2 2 3 0 0 1 1 4 3 2 5 20 0 1 2 24 2 3 Then, check that you have 25 numbers! Now, find the middle number 0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 4 5 5 18 20 24 median The MEDIAN number of absences is 2 END