# Range and Quartile

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• Q1

Co-efficient of range is calculated by the formula

Marks:1
##### Answer:

(L - S)/(L + S)

##### Explanation:

To compare the variability of two or more distributions given in different units of measurement, co-efficient of range is used. It is obtained by applying the formula,

Co-efficient of range = (L - S)/(L + S)

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• Q2

Inter-quartile range equals

Marks:1

Q3– Q1

##### Explanation:

Inter-quartile range is based upon middle 50% of the values in a distribution. Therefore, Q- Q1 is the formula used to calculate inter-quartile range.

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• Q3

Quartile deviation is equal to

Marks:1

(Q3 - Q1)/ 2

##### Explanation:

Quartile deviation refers to the midpoint of the inter-quartile range. It is an absolute measure of dispersion.

It is obtained by the formula,

Q.D = (Q3 - Q1)/2

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• Q4

Coefficient of quartile deviation, with Q1 = 20 and Q3 = 60 is equal to

Marks:1

0.50.

##### Explanation:

Coefficient of Quartile Deviation = (Q3 - Q1)/ (Q3 + Q1) = (60 - 20)/ (60 + 20) = 40/80 = 0.5

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• Q5

The co-efficient of range, with the smallest value of a series at 20 and the largest value at 30, equals

Marks:1

0.2.

##### Explanation:

Coefficient of Range = (L- S) / (L + S) = (30 - 20) / (30 + 20) = 0.2

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