# MODE MODE Mode Mode = the item that appears most often - the most common number In this group of fruit APPLES are the MODE. There are more apples than.

## Presentation on theme: "MODE MODE Mode Mode = the item that appears most often - the most common number In this group of fruit APPLES are the MODE. There are more apples than."— Presentation transcript:

MODE MODE Mode Mode = the item that appears most often - the most common 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 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 Click mouse

MODE MODE - continued mode What is the mode in each of the following? :- 10, 11, 10, 8, 5, 8, 10, 8, 6, 7, 8, 8, 9, 12 Click the mouse when you want to see each answer 810, 11, 10, 8, 5, 8, 10, 8, 6, 7, 8, 8, 9, 12 20, 20, 22, 25, 40, 13, 20, 21, 22, 20, 40,2020, 20, 22, 25, 40, 13, 20, 21, 22, 20, 40, 2, 4, 8, 2, 3, 3, 3, 2, 4, 4, 2, 2, 2, 9, 5, 2, 42 102, 105, 120, 102, 103, 104, 166, 124, 132 102 102, 105, 120, 102, 103, 104, 166, 124, 132 65, 61, 67, 66, 67, 66, 61, 66, 64, 66, 67, 656665, 61, 67, 66, 67, 66, 61, 66, 64, 66, 67, 65 Click mouse

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

Median Median The value of the middle number when they are arranged in order First, put the numbers into order:-4, 19, 3, 22, 15, 1, 9 1 22 19 3 4 9 15 Now find the number that is in the middle middle MEDIAN 9 is the MEDIAN Click mouse

Median - continued MEDIAN Find the MEDIAN in the following:- Click the mouse to see the answers 4, 9, 5, 2, 3, 10, 112345910 median 22, 16, 5, 29, 32, 10, 1151016222932 median 2, 6, 15, 24, 32, 10, 9 2 6 9 10 15 24 32 median Click mouse

MEDIAN 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 What’s the middle number? median To find the median ADD the two middle numbers together, then DIVIDE by 2. 7 + 9 = 16 16÷ 2 = 8 MEDIAN So, the MEDIAN is 8 Click mouse for more 4 6 7 9 12 15 Click mouse

median 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 NOW, find the middle MEDIAN MEDIAN The MEDIAN is 6 Click mouse for more Click mouse

median Let’s find the median of this group of numbers 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 NOW, find the middle MEDIAN What is the MEDIAN? Add the middle two numbers: MEDIAN The MEDIAN is 5. 5 5 + 6 = 11 Divide by 2 11 ÷ 2 = 5. 5 (or 5 ½) Click mouse for more

Try these: click the mouse when you are ready to see the answer MEDIAN Find the MEDIAN 5, 9, 5, 3, 10, 5, 8, 6, 5, 10, 12 3555568910 12 median Put into order Make sure you’ve got 11 numbers in your list Find the middle 5, 9, 7, 2, 1, 4, 9, 6, 11, 10, 42 14265791042 Put into order Make sure you’ve got 11 numbers in your list Find the middle 911 median Click mouse

Mean Mean Mean is another word for AVERAGE First, add all the numbers together:- It’s easy to work out 6 4 8 4 5 6 2 Then, divide by the number of items (the number of ‘numbers’!) MEAN 5 is the MEAN 6 + 4 + 5 + 6 + 2 + 8 + 4 = 35 1 2 3 4 5 6 7 ÷ 7 = 5 Click mouse

Mean MEAN Try this one – find the MEAN First, add all the numbers together:- 8 4 8 4 20 8 2 Then, divide by the number of items (the number of ‘numbers’!) MEAN 7 is the MEAN 8 + 4 + 20 + 8 + 2 + 8 + 4 + 2 = 56 1 2 3 4 5 6 7 8 ÷ 8 = 7 2 Click mouse

MEAN Find the MEAN of these numbers:- Click the mouse for help / answers 10, 12, 3, 21, 4, 8, 12, 5, 9, 6 10 + 12 + 3 + 21 + 4 + 8 + 12 + 5 + 9 + 6 = 90 1 2 3 4 5 6 7 8 9 10 90 ÷ 10 = 9 MEAN The MEAN is 9 15, 22, 12, 9, 6, 10, 3 15 + 22 + 12 + 9 + 6 + 10 + 3 = 77 1 2 3 4 5 6 7 77 ÷ 7 = 11 MEAN The MEAN is 11 5, 7, 10, 3, 12, 6, 7, 19, 5, 1, 13 5 + 7 + 10 + 3 + 12 + 6 + 7 + 19 + 5 + 1 + 13 = 88 1 2 3 4 5 6 7 8 9 10 11 88 ÷ 11 = 8 MEAN The MEAN is 8 Click the mouse for help / answers Click mouse

Questions on mode, median and mean MODEMEDIAN Find the MODE and MEDIAN shoe size of 15 children whose shoe sizes are:- 42344 53637 54431 Click mouse for help / answer 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 MODE The MODE is 4 4 occurs most often 1 2 3 3 3 3 4 4 4 4 4 5 5 6 7 MEDIAN The MEDIAN is 4 4 is the middle number Click mouse for more

Questions on mode, median and mean Mean Find the Mean shoe size of 15 children whose shoe sizes are:- 42344 53738 54431 Click mouse for help / answer Don’t forget – add all the shoe sizes together Divide by the number of children 60 ÷ 15 = 4 4 + 2 + 3 + 4 + 4 + 5 + 3 + 7 + 3 + 8 + 5 + 4 + 4 + 3 + 1 = 60 MEAN The MEAN shoe size is 4 Click mouse for more

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

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

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

The number of absences for each pupil in a class of 25 is shown in the table below. Absences 01005 183223 00114 325200 122423 MEAN a.Calculate the MEAN number of absences per pupil MEDIAN b. Find the MEDIAN number of absences per pupil Click mouse for help on next page

Absences 01005 183223 00114 325200 122423 MEAN a. Calculate the MEAN number of absences per pupil First, add together all the 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= 102 Then, divide by the number of pupils (25) 102 ÷ 25 = 4.08 MEAN The MEAN number of absences per pupil is 4·08 It’s really important to include the 0s because you must count them in your total number of pupils Click mouse for next page

Absences 01005 183223 00114 325200 122423 MEDIAN b. Find the MEDIAN number of absences per pupil First, put all the absences in order 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 Then, check that you have 25 numbers! MEDIAN The MEDIAN number of absences is 2 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 END

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