QUARTILES, DECILES,
PERCENTILES
****. ******. ******
1) Value: 30 40 50 60 70 80 90
F: 5 15 12 18 30 25 20
C. F : 5 20 32 50 80 105125
Find
a) lower quartile (Q₁)
b) Upper quartile (Q₂)
c) Inter quartile (Q₃)
d) semi-inter quartile
d) D₁
e) 5th Decile (D₅)
f) D₉
g) P₁
h) P₅₀
i) P₉₉
j) Median
2) X :11-15 16-20 21-25 26-30
f : 7 9 15 23
find
a) Q₁
b) Q₂
c) Q₃
d) D₁
e) D₅
f) D₉
g) P₁
h) P₅₀
i) P₉₉
j) median
k) mode
3) which quartile is median.
4) The point of intersection of less than and more than type gives the result of-
5) If the relation between two variables x and y be 3x+3y= 50, and median of y is 5.
Then median of x is.
6) Find M. D about median
a)16,19,29,36,46,55,62,69,75,89.
b) 8,15,53,48,19,62,7,15,77,95.
c) 13,84,68,24,96, 139,84,27
d) 8,15,53,49,19,62,7,15,94,77.
e) X: 10 11 12 13 14 Total
F: 3 12 18 12 3 48
f) 7,9,16,24,31,39.
g) C. I: 2-4 4-6 6-8 8-10
F: 3 4 2 b 1.
h) C. I: 2-6 6-10 10-14 14-18
F: 6 8 4 2
i) 46,79,26,85,39,65,99,29,56,72 .
j) 10,20,40,60,70,100also find the coefficient of M. D
7) Find mean deviation of mean:
a) 1,2,3,4,5,6,7
b) 31,35,29,63,55,72,37.
c) 27,33,49,61,76,104,126.
d) 29,35,51,63,78,106,128.
e) 31,35,29,63,55,72,37.
f) X: 10 11 12 13 14 Total
F: 3 12 18 12 3 48
g) X: 5 10 15 20. total
F: 8 2 4 8 20
h) 7,9,16,26,31,39.
i) First ten natural numbers.
j) X: 8-11 12-15 16-19 20-23 24-27
F: 5 6 20 10 4
k) 487, 508, 620, 382, 408, 266,
186,218 also find coefficient of
M. D
8) Find Quartile deviation:
a) X: 15 30 45 60 75 90
F: 4 7 15 8 7 2
b) 12,7,15,10,19,17,25.
c) 350,840,650,710,980,575,290.
d)X:49-53 53-56 56-59 58-62 62-65
F: 2 7 24 7 13
9) The coefficient of variation for the two groups are 58% and 69% . Their standard deviation are 21.2 and 15.6.Compute their arithmetic mean.
10) Find Range and coefficient of
Range of following:
a) 12,7,15,10,19,17,25.
b) 9,7,25,18,38,12,30,35.
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