Question
The median class for the following data is
MarksBelow 10Below 20Below 30Below 40Below 50 No. of students 510233140
MarksBelow 10Below 20Below 30Below 40Below 50 No. of students 510233140
Answer: Option B
:
B
The given table can be written as:
Marks0−1010−2020−3030−4040−50No. of students551389CumulativeFrequency510233140
No. of students can be calculated as follows:
5
10 - 5 = 5
23 - 10 = 13
31 - 23 = 8
40 - 31 = 9
∴n2=402=20
Since there are a total of 40 observations, the median class is the one whose cumulative frequency is closest to and greater than 20.
Here the cumulative frequency for the class interval '10 - 20' is 23 which is greater than 20.
The class interval 20 - 30 is the required answer.
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:
B
The given table can be written as:
Marks0−1010−2020−3030−4040−50No. of students551389CumulativeFrequency510233140
No. of students can be calculated as follows:
5
10 - 5 = 5
23 - 10 = 13
31 - 23 = 8
40 - 31 = 9
∴n2=402=20
Since there are a total of 40 observations, the median class is the one whose cumulative frequency is closest to and greater than 20.
Here the cumulative frequency for the class interval '10 - 20' is 23 which is greater than 20.
The class interval 20 - 30 is the required answer.
Was this answer helpful ?
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