Dispersion Flashcards

1
Q

Range

Coefficient of Range

A

L-S

L-S/L+S x 100

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2
Q

Range of Y

A

|b| x Range of x

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3
Q

MD of A

A

1/n E |x-A|

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4
Q

MD of A

A

1/n E |x-A|f

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5
Q

Coefficient of MD

A

Mean Deviation about A / A x 100

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6
Q

MD of y

A

|b| x MD of x

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7
Q

MD about median

A

E |X -median| / n

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8
Q

Coefficient of Mean deviation

A

MD about median / median x 100

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9
Q

S.D discrete

A

square root (E(xi - /x)2 /n )

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10
Q

S.D Grouped Frequency

A

square root (Ef (xi - /x)2 /n )

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11
Q

Variance = s^2

A

square root (E(xi - /x)2 /n ) [Unclassified data]

square root (Ef (xi - /x)2 /n ) [grouped frequency]

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12
Q

Coefficient of Variation (CV)

A

SD/AM x 100

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13
Q

SD of first n natural numbers is SD

A

Square root ( n^2 -1) / 12

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14
Q

If all the variable of X is k is equal

A

SD = 0

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15
Q

Standard Deviation remains unaffected due

A

to Change of origin but it is affected in the same ratio due to a change in scale.

Sy = |b| Sx

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16
Q

Combined SD

A

Square root (n1s1^2 + n2s2^2 + n1d1^2 + n2d2^2) / n1+n2

17
Q

QD

A

Q3 - Q1/2

18
Q

Coefficient of QD

A

Q3 - Q1 / Q3+Q1 x 100

19
Q

Absolute measure of deviation

A

Range
SD
Mean Deviation
Quartile deviation

20
Q

Relative Measure of Deviation

A

Coefficient of Range
Coefficient of Variation
Coefficient of mean deviation
Coefficient of Quartile deviation

21
Q

For comparing two or more distributions,

A

Relative measure are considered and not absolute measure are considered

22
Q

Why Range is not regarded as Ideal measure of Dispersion ?

A

Since it is based on only two observations

23
Q
A