Unvariate Analysis Sample Assignment
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Question: Calculate Quartile1 and Quartile3 for the following distribution:
_____________________________________
Marks No. of Marks No. of
obtained Student Otained Students
5 – 9 ___5_ 25 - 29__ 5
10 – 14 __ 6_ 30 - 34__ 4
15 – 19 __15 35 - 39__ 2
20 – 24 __10 40 - 44__ 2
Solution:
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Marks Obtained No. of students C.f.__
5 – 9 _______5______ 5
10 – 19 _______6_____ 11
15 – 19 _______15____ 26
20 – 24 ______ 10____ 36
25 – 29 _______5____ 41
30 – 34 _______4____ 45
35 – 39 _______2____ 47
40 – 44 ____2__ 49
_________∑f = 49
N/4 = 49/4 = 12.25 therefore Q1 lies in the interval 15 – 19.
.: Q1 = 14.5 + 49/4 – 11 x 5 = 14.92
_______15
3N = 3X49 = 147 = 36.25, therefore Q3 lies in the interval 25 – 29
4 __4 ___4
. :
Unvariate Analysis Sample Assignment
Question: Calculate Quartile1 and Quartile3 for the following distribution:
_____________________________________
Marks No. of Marks No. of
obtained Student Otained Students
5 – 9 ___5_ 25 - 29__ 5
10 – 14 __ 6_ 30 - 34__ 4
15 – 19 __15 35 - 39__ 2
20 – 24 __10 40 - 44__ 2
Solution:
____________________________________
Marks Obtained No. of students C.f.__
5 – 9 _______5______ 5
10 – 19 _______6_____ 11
15 – 19 _______15____ 26
20 – 24 ______ 10____ 36
25 – 29 _______5____ 41
30 – 34 _______4____ 45
35 – 39 _______2____ 47
40 – 44 ____2__ 49
_________∑f = 49
N/4 = 49/4 = 12.25 therefore Q1 lies in the interval 15 – 19.
.: Q1 = 14.5 + 49/4 – 11 x 5 = 14.92
_______15
3N = 3X49 = 147 = 36.25, therefore Q3 lies in the interval 25 – 29
4 __4 ___4
. :

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