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In a Class Test, 50 Students Obtained Marks as Follows: in a Class Test, 50 Students Obtained Marks as Follows: - Mathematics

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In a class test, 50 students obtained marks as follows:

Marks obtained 0 – 20 20 – 40 40 – 60 60 – 80 80 – 100
Number of Students 4 6 25 10 5

In a class test, 50 students obtained marks as follows:

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Here the maximum class frequency is 25, and the class corresponding to this frequency is 40-60.
So, the modal class is 40-60.
Now, to find the median class let us put the data in the table given below:

Marks Obtained Number of students `(f_i)` Cumulative frequency (cf)
0-20 4 4
20-40 6 10
40-60 25 35
60-80 10 45
80-100 5 50
Total `N=Σf_i=50`  

Now, ЁЭСБ=50 тЯ╣`N/2=25.`
The cumulative frequency just greater than 25 is 35, and the corresponding class is 40-60.
Thus, the median class is 40-60.

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рдЕрдзреНрдпрд╛рдп 9: Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive - Exercises 6

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рдЖрд░рдПрд╕ рдЕрдЧреНрд░рд╡рд╛рд▓ Mathematics [English] Class 10
рдЕрдзреНрдпрд╛рдп 9 Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive
Exercises 6 | Q 6

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