Question

14 question

​Q14. A school keeps medical record of all the students. Following table shows the gain in weights by student of Class X in a year. Find the median gain in weight.




Gain in weight(in kg)

1

2

3

4

5

6

7



Number of students

3

6

8

10

3

8

2

Answer 1

Median gain in weight  = 4 kg

Step-by-step explanation:

Gain in Weight                f                     cf

1                                       3                     3

2                                     6                      9

3                                     8                      17

4                                      10                    27

5                                     3                       30

6                                      8                     38

7                                      2                     40

Total Students = 40    40/2 = 20

Median gain in weight  = 4 kg

We can write it this way also

1  ,  1  ,1  , 2 , 2 , 2 , 2 , 2 , 2 , 3 , 3 , 3 , 3 , 3 , 3 , 3 , 3 , 4 , 4 , 4 , 4 ,4 , 4 , 4 , 4 , 4 , 4 , 5 , 5 , 5 , 6 , 6 , 6 , 6 , 6 , 6 , 6 , 6 , 2 , 2

Median weight  = (20th + 21st)/2  = (4 + 4)/2 = 4

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