Finding the Median from Frequency Table 1

86
Finding: The Median from Frequency Table 1 - Mr Kim

Transcript of Finding the Median from Frequency Table 1

Page 1: Finding the Median from Frequency Table 1

Finding: The Median from Frequency Table

1- Mr Kim

Page 2: Finding the Median from Frequency Table 1

Example 1Finding the median with even number of

scores

Page 3: Finding the Median from Frequency Table 1

Score, x Frequency, f

10 6

11 4

12 10

13 11

14 5

Page 4: Finding the Median from Frequency Table 1

Score, x Frequency, f

10 6

11 4

12 10

13 11

14 5 Here is a Frequency

Table

Page 5: Finding the Median from Frequency Table 1

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

Page 6: Finding the Median from Frequency Table 1

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

Page 7: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6

11 4

12 10

13 11

14 5

Page 8: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4

12 10

13 11

14 5

Page 9: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4

12 10

13 11

14 5

Page 10: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4

12 10

13 11

14 5

Page 11: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10

13 11

14 5

Page 12: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10

13 11

14 5

Page 13: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10

13 11

14 5

Page 14: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11

14 5

Page 15: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11

14 5

Page 16: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5

Page 17: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5

Page 18: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5 36

Page 19: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5 36

Page 20: Finding the Median from Frequency Table 1

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

Page 21: Finding the Median from Frequency Table 1

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

Page 22: Finding the Median from Frequency Table 1

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 MedianDivide this by 2

Page 23: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5 36

36 ÷ 2=

Page 24: Finding the Median from Frequency Table 1

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

Page 25: Finding the Median from Frequency Table 1

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

Page 26: Finding the Median from Frequency Table 1

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 18th score and…

**If you have an even number you have to look for that place score and the one after as well

Page 27: Finding the Median from Frequency Table 1

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 18th score and 19th score

**If you have an even number you have to look for that place score and the one after as well

Page 28: Finding the Median from Frequency Table 1

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

Page 29: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5 36

Page 30: Finding the Median from Frequency Table 1

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?

Page 31: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5 36

No.

Page 32: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5 36

Page 33: Finding the Median from Frequency Table 1

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?

Page 34: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5 36

No.

Page 35: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5 36

Page 36: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5 3618 or more?

Page 37: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5 36Yes!

Page 38: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5 36

So 18th score is in that row

Yes!

Page 39: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5 36

So 18th score is in that row

Yes!

Page 40: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5 36

18th score: 12

Page 41: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5 36

18th score: 12 Now, under the cf column

look for the 19th score

Page 42: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5 36

18th score: 12

19 or more?

Page 43: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5 36

18th score: 12

No.

Page 44: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5 36

18th score: 12

19 or more?

Page 45: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5 36

18th score: 12

No.

Page 46: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5 36

18th score: 12

19 or more?

Page 47: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5 36

18th score: 12

Yes!

Page 48: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5 36

18th score: 12

So 19th score is …

Yes!

Page 49: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5 36

18th score: 12

So 19th score is also 12

Yes!

Page 50: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5 36

18th score: 12

19th score: 12

Page 51: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5 36

18th score: 12

19th score: 12

So the Median is in between 12 and 12 which is …

Page 52: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

10 6 6

11 4 10

12 10 20

13 11 31

14 5 36

18th score: 12

19th score: 12

So the Median is in between 12 and 12 which is 12

Our Final Answer!

Page 53: Finding the Median from Frequency Table 1

Example 2Finding the median with odd number of

scores

Page 54: Finding the Median from Frequency Table 1

Score, x Frequency, f

0 7

1 9

2 3

3 6

4 22

Page 55: Finding the Median from Frequency Table 1

Score, x Frequency, f

0 7

1 9

2 3

3 6

4 22 Here is another

Frequency Table

Page 56: Finding the Median from Frequency Table 1

Same steps as before,a cf column must be

added and filled in

Score, x Frequency, f

0 7

1 9

2 3

3 6

4 22

Page 57: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7

1 9

2 3

3 6

4 22

Same steps as before,a cf column must be

added and filled in

Page 58: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9

2 3

3 6

4 22

Page 59: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9

2 3

3 6

4 22

Page 60: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9 16

2 3

3 6

4 22

Page 61: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9 16

2 3

3 6

4 22

Page 62: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9 16

2 3 19

3 6

4 22

Page 63: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9 16

2 3 19

3 6 25

4 22

Page 64: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9 16

2 3 19

3 6 25

4 22 47

Page 65: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9 16

2 3 19

3 6 25

4 22 47

Page 66: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9 16

2 3 19

3 6 25

4 22 47

This is how many scores there are in total

Page 67: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9 16

2 3 19

3 6 25

4 22 47

Notice how it’s an odd number

Page 68: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9 16

2 3 19

3 6 25

4 22 47

To find the MedianDivide this by 2

Page 69: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9 16

2 3 19

3 6 25

4 22 47

47 ÷ 2=

Page 70: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9 16

2 3 19

3 6 25

4 22 47

47 ÷ 2= 23.5

Page 71: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 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…

Page 72: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 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

Page 73: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 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

Page 74: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9 16

2 3 19

3 6 25

4 22 47

47 ÷ 2= 23.5

So look for the 24th score only

**If you have an odd number you look for that place score

only

Page 75: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9 16

2 3 19

3 6 25

4 22 47

Page 76: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9 16

2 3 19

3 6 25

4 22 47

24 or more?

Page 77: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9 16

2 3 19

3 6 25

4 22 47

No.

Page 78: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9 16

2 3 19

3 6 25

4 22 47

24 or more?

Page 79: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9 16

2 3 19

3 6 25

4 22 47

No.

Page 80: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9 16

2 3 19

3 6 25

4 22 4724 or more?

Page 81: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9 16

2 3 19

3 6 25

4 22 47No.

Page 82: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9 16

2 3 19

3 6 25

4 22 47 24 or more?

Page 83: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9 16

2 3 19

3 6 25

4 22 47Yes!

Page 84: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9 16

2 3 19

3 6 25

4 22 47Yes!

So the Median is the score in that row

Page 85: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9 16

2 3 19

3 6 25

4 22 47Yes!

So the Median is the score in that row

Page 86: Finding the Median from Frequency Table 1

Score, x Frequency, f Cumulative Frequency, cf

0 7 7

1 9 16

2 3 19

3 6 25

4 22 47

So the Median is 3Our Final Answer!


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Opportunity For Everyone...with a median wage close to the median salary in America. At Google, the challenge we faced in finding qualified candidates to join our own IT support team

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Mode, Median, Mean, Range - myCCSDmy.ccsd.net/userdocs/documents/w5doHdkk6RvPgvR6.pdf · Mode, Median, Mean, Range (Range, Frequency Distribution) ... • Find the mean of the following

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The Profits of High Frequency Traders Return High Frequency … · 2012. 11. 20. · N Mean Median Std. Dev. HFT˜ 210 $95,508 $46,262 $258,991 HFT˜ 229 $35,562 $13,825 $298,187

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