# Solve the following Calculate Q1, D4, and P26 for the following data. 18, 24, 45, 29, 4, 7, 28, 49, 16, 26, 25,12, 10 , 9, 8 - Economics

Sum

Solve the following:

Calculate Q1, D4, and P26 for the following data.

 18, 24, 45, 29, 4, 7, 28, 49, 16, 26, 25, 12, 10, 9, 8

#### Solution

Q1 = size of 1((n+1)/4)^"th observation"

Q1 = size of 1((15+1)/4)^"th observation"

Q1 = Size of 1 (16/4)^"th observation"

Q1 = Size of  1(4)th observation

Size of the 4th observation = 9

Q1 = 9

D4  = Size of 4 ((n+1)/10)^"th observation"

D4 = Size of 4((15+1)/10)^"th observation"

D4 = Size of 4(16/10)^"th observation"

D4 = Size of 4(1.6)th observation

= Size of 6.4th observation

= Size of 6th observation + 0.4 (7th observation – 6th observation)

= 12 + 0.4 (16 - 12)

= 12 + 0.4 (4)

= 12 + 1.6

= 13.6

D4 = 13.6

P26 = Size of 26((n+1)/100)^"th observation"

P26 = Size of 26((15+1)/100)^"th observation"

P26 = Size of 26(16/100)^"th observation"

= size of 26 (0.16)th observation

= Size of 4.16th observation

= size of 4th observation + 0.16(5th observation - 4th observation)

= 9 + 0.16 (10 - 9)

= 9 + 0.16(1)

= 9 + 0.16

= 9.16

P26 = 9.16

Concept: Partition Values
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Chapter 3: Partition Values - Exercise Q.4 [Page 22]

#### APPEARS IN

Balbharati Economics 11th Standard HSC Maharashtra State Board
Chapter 3 Partition Values
Exercise Q.4 | Q 1 | Page 22
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