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Median
(Measure Of Central Tendency)
Reporter:
Czarina D. Altea
Where :
LL = lower limit of assumed median determine by the
expression N/2
n = total number of observations/frequency
i = class interval
<cf = less than cumulative frequency
fm = frequency of median class
/alteaczarina
Formula:
Median
Class Frequency (f)
66-68 1
69-71 3
72-74 4
75-77 8
78-80 11
81-83 9
84-86 5
87-89 5
90-92 1
93-95 2
n= 49
/alteaczarina
Median of Group Data
Cumulative frequency (cf)
Class Frequency (f) Cumulative frequency(cf)
66-68 1 1
69-71 3 4
72-74 4
75-77 8
78-80 11
81-83 9
84-86 5
87-89 5
90-92 1
93-95 2
n=49
/alteaczarina
Median of Group Data
Class Frequency (f) Cumulative frequency(cf)
66-68 1 1
69-71 3 4
72-74 4 8
75-77 8 16
78-80 11 27
81-83 9 36
84-86 5 41
87-89 5 46
90-92 1 47
93-95 2 49
n=49
/alteaczarina
Median of Group Data
Class Frequency (f) Cumulative
frequency(cf)
66-68 1 1
69-71 3 4
72-74 4 8
75-77 8 16
78-80 11 27
81-83 9 36
84-86 5 41
87-89 5 46
90-92 1 47
93-95 2 49
n=49
/alteaczarina
Median of Group Data
Median class:
The class with the cumulative
frequency greater than or equal
to one-half of the total frequency
n
2
Class Frequency (f) Cumulative
frequency(cf)
66-68 1 1
69-71 3 4
72-74 4 8
75-77 8 16
78-80 11 27
81-83 9 36
84-86 5 41
87-89 5 46
90-92 1 47
93-95 2 49
n=49
/alteaczarina
Median of Group Data
n
2
Class Frequency (f) Cumulative
frequency(cf)
66-68 1 1
69-71 3 4
72-74 4 8
75-77 8 16
78-80 11 27
81-83 9 36
84-86 5 41
87-89 5 46
90-92 1 47
93-95 2 49
n=49
/alteaczarina
Median of Group Data
Median class = 78-80
n/2 = 49/2 = 24.5
Class Frequency (f) Cumulative
frequency(cf)
66-68 1 1
69-71 3 4
72-74 4 8
75- 77 8 16
78-80 11 27
81-83 9 36
84-86 5 41
87-89 5 46
90-92 1 47
93-95 2 49
n=49
/alteaczarina
Median of Group Data
Median class = 78-80
n/2 = 24.5
LL = 77 + 78 / 2 = 155/2 = 77.5
LL =78 - 0.5 = 77.5
or
Class Frequency (f) Cumulative
frequency(cf)
66-68 1 1
69-71 3 4
72-74 4 8
75- 77 8 16
78-80 11 27
81-83 9 36
84-86 5 41
87-89 5 46
90-92 1 47
93-95 2 49
n=49
/alteaczarina
Median of Group Data
Median class = 78-80
n/2 = 24.5
LL = 77.5
i = 68-66=2+1= 3
Class Frequency (f) Cumulative
frequency(cf)
66-68 1 1
69-71 3 4
72-74 4 8
75-77 8 16
78-80 11 27
81-83 9 36
84-86 5 41
87-89 5 46
90-92 1 47
93-95 2 49
n=49
/alteaczarina
Median of Group Data
Median class = 78-80
n/2 = 24.5
LL = 77.5
i = 3
<cf = ?
fm
Class Frequency (f) Cumulative
frequency(cf)
66-68 1 1
69-71 3 4
72-74 4 8
75-77 8
16
78-80 11 27
81-83 9 36
84-86 5 41
87-89 5 46
90-92 1 47
93-95 2 49
n=49
/alteaczarina
Median of Group Data
fm
cf
<cf
Class Frequency (f) Cumulative
frequency(cf)
66-68 1 1
69-71 3 4
72-74 4 8
75-77 8 16
78-80 11 27
81-83 9 36
84-86 5 41
87-89 5 46
90-92 1 47
93-95 2 49
n=49
/alteaczarina
Median of Group Data
Median class = 78-80
n/2 = 24.5
LL = 77.5
i = 3
<cf = 16
fm =11
Median of Group Data Median class = 78-80
n/2 = 24.5
LL = 77.5
i = 3
<cf = 16
fm =11
/alteaczarina
Median of Group Data
/alteaczarina
Median of Group Data
/alteaczarina
Median of Group Data
/alteaczarina
Class Frequency (f) Cumulative
frequency(cf)
66-68 1 1
69-71 3 4
72-74 4 8
75-77 8 16
78-80 11 27
81-83 9 36
84-86 5 41
87-89 5 46
90-92 1 47
93-95 2 49
n=49
/alteaczarina
Median of Group Data
Median class = 78-80
n/2 = 24.5
LL = 77.5
i = 3
<cf = 16
fm =11
Median = 79.82
Kung may tanong...
Class Frequency (f) cf
12-18 5 5
19-25 6 11
26-32 5 16
33-39 8 24
40-46 5 29
47-53 1 30
n= 30
/alteaczarina
Median of Group Data
Median class = 26-32
n/2 = 15
LL = 25.5
i = 7
<cf = 11
fm = 5
Median =
= 25.5 + 7
Median class = 26-32
n/2 = 15
LL = 25.5
i = 7
<cf = 11
fm = 5
Class Frequency (f) cf
19-21 13
22-24 12
25-27 15
28-30 7
31-33 3
N =
/alteaczarina
Median of Group Data
Median class =
n/2 =
LL =
i =
<cf =
fm =
Median =
Class Frequency (f) cf
73-75 2
76-78 6
79-81 12
82-84 16
85-87 18
88-90 39
91-93 31
94-96 21
97-99 5
n=
/alteaczarina
Median of Group Data
Median class =
n/2 =
LL =
i =
<cf =
fm =
Median =

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MEDIAN-Assessment-2.pdf

  • 1. Median (Measure Of Central Tendency) Reporter: Czarina D. Altea
  • 2. Where : LL = lower limit of assumed median determine by the expression N/2 n = total number of observations/frequency i = class interval <cf = less than cumulative frequency fm = frequency of median class /alteaczarina Formula: Median
  • 3. Class Frequency (f) 66-68 1 69-71 3 72-74 4 75-77 8 78-80 11 81-83 9 84-86 5 87-89 5 90-92 1 93-95 2 n= 49 /alteaczarina Median of Group Data Cumulative frequency (cf)
  • 4. Class Frequency (f) Cumulative frequency(cf) 66-68 1 1 69-71 3 4 72-74 4 75-77 8 78-80 11 81-83 9 84-86 5 87-89 5 90-92 1 93-95 2 n=49 /alteaczarina Median of Group Data
  • 5. Class Frequency (f) Cumulative frequency(cf) 66-68 1 1 69-71 3 4 72-74 4 8 75-77 8 16 78-80 11 27 81-83 9 36 84-86 5 41 87-89 5 46 90-92 1 47 93-95 2 49 n=49 /alteaczarina Median of Group Data
  • 6. Class Frequency (f) Cumulative frequency(cf) 66-68 1 1 69-71 3 4 72-74 4 8 75-77 8 16 78-80 11 27 81-83 9 36 84-86 5 41 87-89 5 46 90-92 1 47 93-95 2 49 n=49 /alteaczarina Median of Group Data Median class: The class with the cumulative frequency greater than or equal to one-half of the total frequency n 2
  • 7. Class Frequency (f) Cumulative frequency(cf) 66-68 1 1 69-71 3 4 72-74 4 8 75-77 8 16 78-80 11 27 81-83 9 36 84-86 5 41 87-89 5 46 90-92 1 47 93-95 2 49 n=49 /alteaczarina Median of Group Data n 2
  • 8. Class Frequency (f) Cumulative frequency(cf) 66-68 1 1 69-71 3 4 72-74 4 8 75-77 8 16 78-80 11 27 81-83 9 36 84-86 5 41 87-89 5 46 90-92 1 47 93-95 2 49 n=49 /alteaczarina Median of Group Data Median class = 78-80 n/2 = 49/2 = 24.5
  • 9. Class Frequency (f) Cumulative frequency(cf) 66-68 1 1 69-71 3 4 72-74 4 8 75- 77 8 16 78-80 11 27 81-83 9 36 84-86 5 41 87-89 5 46 90-92 1 47 93-95 2 49 n=49 /alteaczarina Median of Group Data Median class = 78-80 n/2 = 24.5 LL = 77 + 78 / 2 = 155/2 = 77.5 LL =78 - 0.5 = 77.5 or
  • 10. Class Frequency (f) Cumulative frequency(cf) 66-68 1 1 69-71 3 4 72-74 4 8 75- 77 8 16 78-80 11 27 81-83 9 36 84-86 5 41 87-89 5 46 90-92 1 47 93-95 2 49 n=49 /alteaczarina Median of Group Data Median class = 78-80 n/2 = 24.5 LL = 77.5 i = 68-66=2+1= 3
  • 11. Class Frequency (f) Cumulative frequency(cf) 66-68 1 1 69-71 3 4 72-74 4 8 75-77 8 16 78-80 11 27 81-83 9 36 84-86 5 41 87-89 5 46 90-92 1 47 93-95 2 49 n=49 /alteaczarina Median of Group Data Median class = 78-80 n/2 = 24.5 LL = 77.5 i = 3 <cf = ? fm
  • 12. Class Frequency (f) Cumulative frequency(cf) 66-68 1 1 69-71 3 4 72-74 4 8 75-77 8 16 78-80 11 27 81-83 9 36 84-86 5 41 87-89 5 46 90-92 1 47 93-95 2 49 n=49 /alteaczarina Median of Group Data fm cf <cf
  • 13. Class Frequency (f) Cumulative frequency(cf) 66-68 1 1 69-71 3 4 72-74 4 8 75-77 8 16 78-80 11 27 81-83 9 36 84-86 5 41 87-89 5 46 90-92 1 47 93-95 2 49 n=49 /alteaczarina Median of Group Data Median class = 78-80 n/2 = 24.5 LL = 77.5 i = 3 <cf = 16 fm =11
  • 14. Median of Group Data Median class = 78-80 n/2 = 24.5 LL = 77.5 i = 3 <cf = 16 fm =11 /alteaczarina
  • 15. Median of Group Data /alteaczarina
  • 16. Median of Group Data /alteaczarina
  • 17. Median of Group Data /alteaczarina
  • 18. Class Frequency (f) Cumulative frequency(cf) 66-68 1 1 69-71 3 4 72-74 4 8 75-77 8 16 78-80 11 27 81-83 9 36 84-86 5 41 87-89 5 46 90-92 1 47 93-95 2 49 n=49 /alteaczarina Median of Group Data Median class = 78-80 n/2 = 24.5 LL = 77.5 i = 3 <cf = 16 fm =11 Median = 79.82
  • 20. Class Frequency (f) cf 12-18 5 5 19-25 6 11 26-32 5 16 33-39 8 24 40-46 5 29 47-53 1 30 n= 30 /alteaczarina Median of Group Data Median class = 26-32 n/2 = 15 LL = 25.5 i = 7 <cf = 11 fm = 5 Median =
  • 21. = 25.5 + 7 Median class = 26-32 n/2 = 15 LL = 25.5 i = 7 <cf = 11 fm = 5
  • 22. Class Frequency (f) cf 19-21 13 22-24 12 25-27 15 28-30 7 31-33 3 N = /alteaczarina Median of Group Data Median class = n/2 = LL = i = <cf = fm = Median =
  • 23. Class Frequency (f) cf 73-75 2 76-78 6 79-81 12 82-84 16 85-87 18 88-90 39 91-93 31 94-96 21 97-99 5 n= /alteaczarina Median of Group Data Median class = n/2 = LL = i = <cf = fm = Median =