Uploaded by Bensig John Joshua L.

QUANTILE

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QUANTILE
Q₁ = [1
30
4
1
4
+ (1- )]
Q₂ = [2
30
4
2
+ (1-4)]
Q₃ = [3
30
4
3
+ (1-4)]
= 7.5+0.75
= 30+0.5
= 22.5+0.25
= 8.25
= 15.5
= 22.75
Q₁ = [4
30
4
= 30+0
= 30
4
+ (1-4)]
PERCENTILE
30
2
P₂ = [ 2100 + 1-100]
30
3
P₃ = [ 3100 + 1-100]
30
4
P₄ = [ 4100 + 1-100]
= 1.2+0.98
= 0.9+0.97
= 1.2+0.96
= 2.16
= 1.87
= 2.74
30
5
P₅ = [ 5100 + 1-100]
30
6
P₆ = [ 6100 + 1-100]
30
7
P₇ = [ 7100 + 1-100]
= 1.5+0.95
= 1.8+0.94
= 2.1+0.93
= 2.45
= 2.74
= 3.03
30
100
P₈ = [ 8
8
]
100
+ 1-
30
9
P₉ = [ 9100 + 1-100]
30
100
P₁₀ = [ 10
= 2.4+0.92
= 2.7+0.91
= 3+0.90
= 3.32
= 3.61
= 3.90
30
11
P₁₁ = [ 11100 + 1-100]
30
100
P₁₂ = [ 12
12
]
100
+ 1-
30
= 3.6+0.88
= 3.9+0.87
= 4.19
= 4.48
= 4.77
30
14
30
15
P₁₅ = [ 15100 + 1-100]
30
= 4.5+0.87
= 4.8+0.84
= 5.06
= 5.35
= 5.64
30
17
30
18
P₁₈ = [ 18100 + 1-100]
30
= 5.4+0.82
= 5.7+0.81
= 5.93
= 6.22
= 6.51
30
20
30
21
P₂₁ = [ 21100 + 1-100]
30
= 6.51+0.79
= 6.6+0.78
= 6.8
= 7.3
= 7.96
30
23
30
24
P₂₄ = [ 24100 + 1-100]
22
P₂₂ = [ 22100 + 1-100]
= 6+0.8
P₂₃ = [ 23100 + 1-100]
19
P₁₉ = [ 19100 + 1-100]
= 4.8+0.84
P₂₀ = [ 20100 + 1-100]
16
P₁₆ = [ 16100 + 1-100]
= 4.2+0.86
P₁₇ = [ 17100 + 1-100]
13
P₁₃ = [ 13100 + 1-100]
= 3.3+0.89
P₁₄ = [ 14100 + 1-100]
10
]
100
+ 1-
30
25
P₂₅ = [ 25100 + 1-100]
= 6.9+0.72
= 7.2+0.76
= 7.5+0.75
= 7.67
= 7.96
= 8.25
30
25
P₂₅ = [ 25100 + 1-100]
30
26
P₂₆ = [ 26100 + 1-100]
30
100
P₂₇ = [ 27
= 7.5+0.75
= 7.8+0.74
= 8.1+0.73
= 8.25
= 8.54
= 8.83
30
28
P₂₈ = [ 28100 + 1-100]
30
29
P₂₉ = [ 29100 + 1-100]
= 8.7+0.71
= 9+07
= 9.12
= 9.41
= 9.7
30
100
31
]
100
+ 1-
30
32
P₃₂ = [ 32100 + 1-100]
30
30
30
33
P₃₀ = [ 30100 + 1-100]
= 8.4+072
P₃₁ = [ 31
P₃₃ = [ 33100 + 1-100]
= 9.3+0.69
= 9.6+0.68
= 9.9+0.67
= 9.99
= 10.86
= 10.57
30
34
P₃₄ = [ 34100 + 1-100]
30
35
P₃₅ = [ 35100 + 1-100]
27
]
100
+ 1-
30
36
P₃₆ = [ 36100 + 1-100]
= 10.2+0.66
= 10.5+0.67
= 10.8+0.64
= 10.86
= 11.15
= 11.44
30
37
P₃₇ = [ 37100 + 1-100]
30
38
P₃₈ = [ 38100 + 1-100]
30
100
P₃₉ = [ 39
= 11.1+0.63
= 11.4+0.62
= 11.7+0.6
= 11.73
= 12.02
= 12.31
30
40
P₄₀ = [ 40100 + 1-100]
30
100
P₄₁ = [ 41
41
]
100
+ 1-
30
= 12.3+0.59
= 12.6+0.58
= 12.6
= 12.89
= 13.18
30
43
30
44
P₄₄ = [ 44100 + 1-100]
30
= 13.2+0.56
= 13.5+0.55
= 13.47
= 13.76
= 14.05
30
46
30
47
P₄₇= [ 47100 + 1-100]
30
= 14.1+0.53
= 14.4+0.52
= 14.34
= 14.63
= 14.92
30
100
49
]
100
+ 1-
30
50
P₅₀ = [ 50100 + 1-100]
48
P₄₈= [ 48100 + 1-100]
= 13.8+0.54
P₄₉= [ 49
45
P₄₅ = [ 45100 + 1-100]
= 12.9+0.57
P₄₆ = [ 46100 + 1-100]
42
P₄₂ = [ 42100 + 1-100]
= 12+0.6
P₄₃ = [ 43100 + 1-100]
39
]
100
+ 1-
30
51
P₅₁ = [ 51100 + 1-100]
= 14.7+0.51
= 15+0.3
= 15.3+0.49
= 15.21
= 15.5
= 15.5
30
100
P₅₂ = [ 52
52
]
100
+ 1-
30
53
P₅₃ = [ 53100 + 1-100]
30
54
P₅₄ = [ 100 + 1-100]
= 15.6+0.48
= 15.9+0.47
= 16.2+0.46
= 16.08
= 16.37
= 16.66
30
55
P₅₅ = [ 55100 + 1-100]
30
56
P₅₆ = [ 56100 + 1-100]
30
57
P₅₇ = [ 57100 + 1-100]
= 16.5+0.45
= 16.8+0.44
= 17.1+0.43
= 16.95
= 17.24
= 17.53
30
58
P₅₈ = [ 58100 + 1-100]
30
59
P₅₉ = [ 59100 + 1-100]
30
60
P₆₀ = [ 60100 + 1-100]
= 17.4+0.42
= 17.7+0.41
= 18+0.4
= 17.82
= 18.11
=18.4
DECILE
30
1
D₁ = [110 + (1-10)]
30
2
D₂ = [210 + (1-10)]
30
10
D₃ = [4
= 3+ 0.9
= 6+0.8
= 9+0.7
=3.9
= 6.8
=9.7
30
10
D₄ = [4
4
10
+ (1- )]
30
5
D₅ = [510 + (1-10)]
30
= 15+0.5
= 18+0.4
=12.6
= 15.5
= 18.4
30
7
30
8
D₈ = [8 10 + (1-10)]
30
= 24+0.2
= 27+0.1
= 21.3
= 24.2
= 27.1
30
10
= 30+0
= 30
9
D₉ = [9 10 + (1-10)]
= 21+0.3
D₁₀ = [10 10 + (1-10)]
6
D₆ = [6 10 + (1-10)]
= 12+0.6
D₇ = [7 10 + (1-10)]
4
10
+ (1- )]
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