Question

Q.42 The following table gives the marks obtained by 80 students in a test : Marks No. of students 0-10 3 10 - 20 9 15 20-30 30 - 40 30 40 - 50 18 50 - 60 5 The median class is 1. 10-20 2. 20-30 3. 30-40 4. 40-50​

Answer 1

Answer:

Tell me what we have to do

Answer 2

Step-by-step explanation:

Given: The following table gives the marks obtained by 80 students in a test :

Marks No. of students

0-10 _____3

10 - 20 ___9

20-30____15

30 - 40___30

40 - 50___ 18

50 - 60____ 5

To find: The median class is

1. 10-20

2. 20-30

3. 30-40

4. 40-50

Solution:

Tip: Median class have CF nearby to n/2 frequency.

Step 1: Write cumulative frequency data.

Marks _No. of students_CF

0-10 _____3 _________3

10 - 20 _____9________12

20 - 30____15________27

30 - 40____30________57

40 - 50____ 18 _______75

50 - 60____ 5________80

CF can be find by addition of subsequent frequency of classes.

0-10--> 3

10-20---> 3+9=12

20-30---> 12+15=27

and so on...

Step 2: Write n/2

We know that total number of students are 80.

So,

$n = 80$

Thus,

$\frac{n}{2} = 40$

Step 3: Find Median class.

Look for the CF entry, which is near to 40 but not less than 40.

So,

CF:57 is that class.

Therefore,

Class for this CF is Median class;i.e.30-40

Final answer:

Median class is 30-40.

Option 3 is correct.

Hope it helps you.

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