calculate the median from the following data: Marks = 10,15,20,25,30,35,40 and No. of students = 8,12,36,35,28,18,9
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10-15. = 8. =8
15-20. =12.=20
20-25.=36=56
25-30.=35 =91
30-35.=28 =119
35-40. =18 =137
40-45. =9 =146
[146]
n=146. n\2=73.
No. Greater than 73.
91. Therefore.
cf = 56., f = 35, L= 25.
Median = L+(n\2-cf) ×h
----------
f
= 25 + 73-56 × 5. = 25 + 17. × 5
--------- -----
35. 35
=25 + 2.42 = 27.42
15-20. =12.=20
20-25.=36=56
25-30.=35 =91
30-35.=28 =119
35-40. =18 =137
40-45. =9 =146
[146]
n=146. n\2=73.
No. Greater than 73.
91. Therefore.
cf = 56., f = 35, L= 25.
Median = L+(n\2-cf) ×h
----------
f
= 25 + 73-56 × 5. = 25 + 17. × 5
--------- -----
35. 35
=25 + 2.42 = 27.42
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