Finding the Median from Frequency Table 1

Kim199 19,360 views 86 slides Jan 15, 2016
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About This Presentation

How to find the median from frequency table with odd and even number of scores with step by step illustrations

Size: 230.77 KB
Language: en
Added: Jan 15, 2016
Slides: 86 pages

Slide Content

Finding: The Median from Frequency Table 1 - Mr Kim

Example 1 Finding the median with even number of scores

Score, x Frequency, f 10 6 11 4 12 10 13 11 14 5

Score, x Frequency, f 10 6 11 4 12 10 13 11 14 5 Here is a Frequency Table

Score, x Frequency, f 10 6 11 4 12 10 13 11 14 5 To find the Median, a cf column must be added and filled in

Score, x Frequency, f Cumulative Frequency, cf 10 6 11 4 12 10 13 11 14 5 To find the Median, a cf column must be added and filled in

Score, x Frequency, f Cumulative Frequency, cf 10 6 11 4 12 10 13 11 14 5

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 12 10 13 11 14 5

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 12 10 13 11 14 5

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 12 10 13 11 14 5

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 13 11 14 5

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 13 11 14 5

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 13 11 14 5

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 14 5

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 14 5

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 This is how many scores there are in total

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 Notice how it’s an even number

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 To find the Median Divide this by 2

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 36 ÷ 2=

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 36 ÷ 2= 18

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 36 ÷ 2= 18 **If you have an even number you have to look for that place score and the one after as well

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 36 ÷ 2= 18 So look for the 18 th score and… **If you have an even number you have to look for that place score and the one after as well

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 36 ÷ 2= 18 So look for the 18 th score and 19 th score **If you have an even number you have to look for that place score and the one after as well

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 So, under the cf column look for the first number that is 18 or more

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18 or more?

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 No.

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18 or more?

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 No.

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18 or more?

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 Yes!

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 So 18 th score is in that row Yes!

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 So 18 th score is in that row Yes!

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18 th score: 12

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18 th score: 12 Now, under the cf column look for the 19 th score

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18 th score: 12 19 or more?

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18 th score: 12 No.

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18 th score: 12 19 or more?

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18 th score: 12 No.

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18 th score: 12 19 or more?

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18 th score: 12 Yes!

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18 th score: 12 So 19 th score is … Yes!

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18 th score: 12 So 19 th score is also 12 Yes!

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18 th score: 12 19 th score: 12

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18 th score: 12 19 th score: 12 So the Median is in between 12 and 12 which is …

Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18 th score: 12 19 th score: 12 So the Median is in between 12 and 12 which is 12 Our Final Answer!

Example 2 Finding the median with odd number of scores

Score, x Frequency, f 7 1 9 2 3 3 6 4 22

Score, x Frequency, f 7 1 9 2 3 3 6 4 22 Here is another Frequency Table

Same steps as before, a cf column must be added and filled in Score, x Frequency, f 7 1 9 2 3 3 6 4 22

Score, x Frequency, f Cumulative Frequency, cf 7 1 9 2 3 3 6 4 22 Same steps as before, a cf column must be added and filled in

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 2 3 3 6 4 22

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 2 3 3 6 4 22

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 3 6 4 22

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 3 6 4 22

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 19 3 6 4 22

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 19 3 6 25 4 22

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 19 3 6 25 4 22 47

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 19 3 6 25 4 22 47

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 19 3 6 25 4 22 47 This is how many scores there are in total

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 19 3 6 25 4 22 47 Notice how it’s an odd number

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 19 3 6 25 4 22 47 To find the Median Divide this by 2

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 19 3 6 25 4 22 47 47 ÷ 2=

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 19 3 6 25 4 22 47 47 ÷ 2= 23.5

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 19 3 6 25 4 22 47 47 ÷ 2= 23.5 If you round this number up to the next number you get…

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 19 3 6 25 4 22 47 47 ÷ 2= 23.5 If you round this number up to the next number you get 24

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 19 3 6 25 4 22 47 47 ÷ 2= 23.5 If you round this number up to the next number you get 24 **If you have an odd number you look for that place score only

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 19 3 6 25 4 22 47 47 ÷ 2= 23.5 So look for the 24 th score only **If you have an odd number you look for that place score only

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 19 3 6 25 4 22 47

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 19 3 6 25 4 22 47 24 or more?

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 19 3 6 25 4 22 47 No.

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 19 3 6 25 4 22 47 24 or more?

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 19 3 6 25 4 22 47 No.

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 19 3 6 25 4 22 47 24 or more?

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 19 3 6 25 4 22 47 No.

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 19 3 6 25 4 22 47 24 or more?

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 19 3 6 25 4 22 47 Yes!

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 19 3 6 25 4 22 47 Yes! So the Median is the score in that row

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 19 3 6 25 4 22 47 Yes! So the Median is the score in that row

Score, x Frequency, f Cumulative Frequency, cf 7 7 1 9 16 2 3 19 3 6 25 4 22 47 So the Median is 3 Our Final Answer!
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