Question

Write the steps to find detail of students having marks in math greater than 40 in a Stu- marks table​

Answer 1

Answer:

10th

Maths

Statistics

Median of Grouped Data

Following are marks obtaine...

STATISTICS

Following are marks obtained in Mathematics of students of Class X.

Marks obtained 0-10 10-20 20-30 30-40 40-50 50-60 60-70

No. of students 2 10 12 15 13 8 4

Find the median of the marks obtained in Mathematics.

MEDIUM

ANSWER

C.I f cf

0 - 10 2 2

10 - 20 10 12

20 - 30 12 24

30 - 40 15 39

40- 50 13 52

50 - 60 8 60

60 - 70 4 64

To find median, we need to find Median class first,

Total no of students(N)=64

2

N

=

2

64

=32

From Cf we can see 32 is more than 24 and less than 39, So, Median Class =30−40

Now,

M=l+

f

(

2

N

−C)

×h

where, l= lower limit of median class=30,

C= preceding cumulative frequency of median class=24,

f= frequency of median class=15,

h= class size=10

M=30+

M=30+ 15

M=30+ 1532−24

M=30+ 1532−24

M=30+ 1532−24 ×10

M=30+ 1532−24 ×10=30+

M=30+ 1532−24 ×10=30+ 15

M=30+ 1532−24 ×10=30+ 158

M=30+ 1532−24 ×10=30+ 158

M=30+ 1532−24 ×10=30+ 158 ×10

M=30+ 1532−24 ×10=30+ 158 ×10=30+5.33=35.33