# MODE

## MODE

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##### Presentation Transcript

1. 2, 3, 6, 4, 2, 2, 3, 6, 5 In this group of numbers 2 is the MODE. 2 appears more than any other number In this group of fruit APPLES are the MODE. There are more apples than any other fruit. In this transport survey CARS are the MODE. There are more cars than any other vehicle MODE Mode = the item that appears most often - the most common number Click mouse

2. 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 10, 11, 10, 8, 5, 8, 10, 8, 6, 7, 8, 8, 9, 12 8 20, 20, 22, 25, 40, 13, 20, 21, 22, 20, 40, 20, 20, 22, 25, 40, 13, 20, 21, 22, 20, 40, 20 2, 4, 8, 2, 3, 3, 3, 2, 4, 4, 2, 2, 2, 9, 5, 2, 4 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, 105, 120, 102, 103, 104, 166, 124, 132 102 65, 61, 67, 66, 67, 66, 61, 66, 64, 66, 67, 65 65, 61, 67, 66, 67, 66, 61, 66, 64, 66, 67, 65 66

3. Median middle The value of the middle number when they are arranged in order 10, 5, 2, 1, 8, 7, 6 First, put the numbers into order:- 1 2 5 6 7 8 10 Now find the number that is in the middle 6 is the MEDIAN Click mouse

4. Median middle 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 Now find the number that is in the middle 9 is the MEDIAN Click mouse

5. median median median 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 22, 16, 5, 29, 32, 10, 1 1 5 10 16 22 29 32 2, 6, 15, 24, 32, 10, 9 2 6 9 10 15 24 32

6. What’s the middle number? 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 12 15 4 6 79 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 Click mouse for more

7. 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 Make sure you’ve got the right amount – there are 9 numbers in this group 1 4 5 5 6 7 7 8 10 MEDIAN NOW, find the middle The MEDIAN is 6 Click mouse Click mouse for more

8. 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 Make sure you’ve got the right amount – there are 8 numbers in this group 1 4 5 5 6 7 7 10 What is theMEDIAN? 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)

9. Make sure you’ve got 11 numbers in your list Make sure you’ve got 11 numbers in your list median median Put into order Put into order Try these: click the mouse when you are ready to see the answer Find the middle Find the MEDIAN 3 5 5 5 5 6 8 9 10 10 12 5, 9, 5, 3, 10, 5, 8, 6, 5, 10, 12 Find the middle 1 2 4 5 6 7 9 9 10 11 42 5, 9, 7, 2, 1, 4, 9, 6, 11, 10, 42 Click mouse

10. 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 Click mouse 5 is the MEAN

11. 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 4 20 8 2 8 4 2 1 2 3 4 5 6 7 8 8 + 4 + 20 + 8 + 2 + 8 + 4 + 2 = 56 56 ÷ 8 = 7 Click mouse 7 is the MEAN

12. Click the mouse for help / answers Click the mouse for help / answers Click the mouse for help / answers 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 90 ÷ 10 = 9 The MEAN is 9 15, 22, 12, 9, 6, 10, 3 1 2 3 4 5 6 7 77 ÷ 7 = 11 15 + 22 + 12 + 9 + 6 + 10 + 3 = 77 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

13. Questions on mode, median and mean Find the MODE and MEDIAN shoe size of 15 children whose shoe sizes are:- Don’t forget – put the numbers in ascending order 1 2 3 3 3 3 4 4 4 4 4 5 5 6 7 1 2 3 3 3 3 4 4 4 4 4 5 5 6 7 Check you have 15 numbers The MODE is 4 4 occurs most often The MEDIAN is 4 4 is the middle number Click mouse for more Click mouse for help / answer

14. Questions on mode, median and mean Find the Mean shoe size of 15 children whose shoe sizes are:- Don’t forget – add all the shoe sizes together 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 mouse for more Click mouse for help / answer

15. MEDIAN is 7 Questions on mode, median and mean Find the MODE, MEDIAN and MEAN of the following data: 17 13 11 9 7 10 0 0 1 3 6 0 0 1 3 6 7 9 10 11 13 17 0 0 1 3 6 7 9 10 11 13 17 Put in order; check you have 11 numbers MODE is 0 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 Click mouse The MEAN is 7 Click mouse for help / answer

16. MEDIAN is 11 Questions on mode, median and mean Find the MODE, MEDIAN and MEAN of the following data: 14 15 11 12 10 11 10 10 15 10 10 10 11 11 12 14 15 15 10 10 10 11 11 12 14 15 15 Put in order; check you have 9 numbers MODE is 10 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 Click mouse The MEAN is 12 Click mouse for help / answer

17. MEDIAN is (8 + 10)÷ 2 = 9 Questions on mode, median and mean Find the MODE, MEDIAN and MEAN of the following data: 17 13 1 3 10 6 11 13 8 7 1 3 6 7 8 10 11 13 13 17 1 3 6 7 8 10 11 13 13 17 Put in order; check you have 10 numbers MODE is 13 MEAN: add all the numbers together divide by number of items (10) 1 + 3 + 6 + 7 + 8 + 10 + 11 + 13 + 13 + 17 = 90 90 ÷ 10 = 9 Click mouse The MEAN is 9 Click mouse for help / answer

18. The number of absences for each pupil in a class of 25 is shown in the table below. • Calculate the MEAN number of absences per pupil • b. Find the MEDIAN number of absences per pupil Click mouse for help on next page

19. It’s really important to include the 0s because you must count them in your total number of pupils a. Calculate the MEAN number of absences per pupil 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= 102 102 ÷ 25 = 4.08 The MEAN number of absences per pupil is 4·08 Click mouse for next page

20. median b. Find the MEDIAN number of absences per pupil First, put all the absences in order Then, check that you have 25 numbers! Now, find the middle number 0 00 0 00 1 1 1 1 2 2 2 2 2 3 3 3 3455 182024 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 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 0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 4 5 5 18 2024 0 00 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 4 5 5 182024 0 00 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 4 5 5 182024 0 00 0 00 1 1 1 1 2 2 2 2 2 3 3 3 3 455 182024 0 00 0 00 11 1 1 2 2 2 2 2 3 3 33455 182024 0 00 0 00 1 1 1 1 2 2 2 2 2 3 3 3 3455 182024 0 00 0 00 111 1 2 2 2 2 2 3 333455 182024 0 00 0 00 111 1 2 2 2 2 2 3333455 182024 0 00 0 00 111 12 2 2 2 23333455 182024 0 00 0 00 111 12 2 2 2 23333455 182024 0 00 0 00 111 12 2 2 2 23333455 182024 0 00 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 4 55 182024 The MEDIAN number of absences is 2 END