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INTERVALS FREQ. (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
Additional computations & details:
C= 5
k= 7
n= 50
n/2= 25
Find:
Mean. Median. Mode.
Variance. Standard
Deviation. Coefficient
Variation.
Following Fractile given:
P50
D3
Q 1
(fi) (Xi) Xi
2 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
Solutions and Answers
MEAN
MEDIAN
MODE
= 50(653,890)-(5,710)2
50(50-1)
= 32,694,500-
32,604,100
2,450
S2
g = 36.90
(100%)
(100%)
Variance StandardDeviation:
Coefficient Variation:
Sg =
=
= 6.07
C.V. =
=
= 5.32 ≈
5%
P50 D3
Q1

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Statistics: Graph(grouped data)

  • 1.
  • 2. INTERVALS FREQ. (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
  • 3. Additional computations & details: C= 5 k= 7 n= 50 n/2= 25 Find: Mean. Median. Mode. Variance. Standard Deviation. Coefficient Variation. Following Fractile given: P50 D3 Q 1 (fi) (Xi) Xi 2 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
  • 5. = 50(653,890)-(5,710)2 50(50-1) = 32,694,500- 32,604,100 2,450 S2 g = 36.90 (100%) (100%) Variance StandardDeviation: Coefficient Variation: Sg = = = 6.07 C.V. = = = 5.32 ≈ 5%
  • 7. Q1