Question

find the median of the data marks 15,20,10,25,5 and no of students 10,8,6,4,1

Answer 1

Step-by-step explanation:

Marks obtained: 15,20,10,25,5

no of students: 5

median=sum of marks obtained/total no of students

median=15

Answer 2

The median of the data is 15.

Step-by-step explanation:

The given data table is

Marks                : 15      20     10      25      5

No of students : 10        8       6        4       1

Arrange the Marks in ascending order and then find the cumulative frequency.

Marks (x)                  Number of students(f)        Cumulative frequency

5                                    1                                        1

10                                  6                                       7

15                                  10                                     17

20                                  8                                     25

25                                  4                                     29

Total                              29

Total number of students = 29

29 is an odd number.

Median of data if n is odd:

$Median=(\frac{n+1}{2})\text{th term}$

Substitute n=29.

$Median=(\frac{29+1}{2})\text{th term}$

$Median=(15)\text{th term}$

The 15th term lies in cumulative frequency 17.

The marks corresponding to cumulative frequency 17 is 15.

Therefore, the median of the data is 15.

#Learn more

Find the median marks in the data Marks 15. 20. 10. 25. 5. no of students 10. 8. 6. 4. 1

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