statistics: graph(grouped data)
TRANSCRIPT
![Page 1: Statistics: Graph(grouped data)](https://reader036.vdocuments.mx/reader036/viewer/2022062308/55896481d8b42aa14b8b45f2/html5/thumbnails/1.jpg)
Ogive Graph(GROUPED DATA)
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CFDTINTERVAL
SFREQ.
(fi)CM(Xi) CB(Li) CF(Fi)
100-104 2 102 99.5-104.5 2
105-109 8 107 104.5-109.5
10
110-114 18 112 109.5-114.5
28
115-119 13 117 114.5-119.5
41
120-124 7 122 119.5-124.5
48
125-129 1 127 124.5-129.5
49
130-134 1 132 129.5-134.5
50
![Page 3: Statistics: Graph(grouped data)](https://reader036.vdocuments.mx/reader036/viewer/2022062308/55896481d8b42aa14b8b45f2/html5/thumbnails/3.jpg)
Additional computations & details:
C= 5k= 7n= 50n/2= 25
Find:Mean. Median. Mode.Variance. Standard Deviation.
Coefficient Variation.Following Fractile given:P50
D3
Q 1
(fi) (Xi) Xi2 fi(Xi)2 fi(Xi)
2 102 10404 20,808 204
8 107 11,449
91,592 856
18 112 12,544
225,792 2,016
13 117 13,689
177,957 1,521
7 122 14,884
104,188 854
1 127 16,129
16,129 127
1 132 17,424
17,424 132
653,890 5,710
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Solutions and AnswersMEAN
MEDIAN
MODE
![Page 5: Statistics: Graph(grouped data)](https://reader036.vdocuments.mx/reader036/viewer/2022062308/55896481d8b42aa14b8b45f2/html5/thumbnails/5.jpg)
= 50(653,890)-(5,710)2
50(50-1) = 32,694,500-32,604,100 2,450 S2
g = 36.90
(100%)
(100%)
Variance Standard Deviation:
Coefficient Variation:
Sg =
= = 6.07
C.V. =
=
= 5.32 ≈ 5%
![Page 6: Statistics: Graph(grouped data)](https://reader036.vdocuments.mx/reader036/viewer/2022062308/55896481d8b42aa14b8b45f2/html5/thumbnails/6.jpg)
P50 D3
![Page 7: Statistics: Graph(grouped data)](https://reader036.vdocuments.mx/reader036/viewer/2022062308/55896481d8b42aa14b8b45f2/html5/thumbnails/7.jpg)
Q1