Statistics: Graph(grouped data)

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Ogive Graph(GROUPED DATA)

Transcript of Statistics: Graph(grouped data)

Page 1: Statistics: Graph(grouped data)

Ogive Graph(GROUPED DATA)

Page 2: Statistics: Graph(grouped data)

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

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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

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= 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%

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P50 D3

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Q1