Question

obtain the median for the frequency distribution x=1 2 3 4 5 6 7 8 9 f=8 10 11 16 20 25 15 9 6​

Answer 1

C=1 ,2, 3, 4 , 5, 6 , 7,. 8,. 9

F=8,10 ,11,. 16,20, 25, 15,. 9,. 6

CF=8,18,29,45,65, 90,105,114,120

n =120( sum of all f)

M=value of ( n+1)/2 th item

=. ( 120+1)/2

=. 60.5 th item

=. 5(Ans )

Answer 2

Answer:

The given frequency distribution data's median calculated is $60$.

Step-by-step explanation:

Given data,

X            Frequency

$1$                   $8$

$2$                  $10$

$3$                  $11$

$4$                  $16$

$5$                  $20$

$6$                  $25$

$7$                  $15$

$8$                  $9$

$9$                  $6$

The given frequency distribution data's median =?

As we know, for ungrouped data;

• Median = $\frac{n+1}{2}$   ( n = odd )

Here, n = total number of frequency data.

• Median = $\frac{n}{2}$     ( n = even )

Now, we have to make a table for the total number of frequencies:

X            Frequency

$1$                   $8$

$2$                  $10$

$3$                  $11$

$4$                  $16$

$5$                  $20$

$6$                  $25$

$7$                  $15$

$8$                  $9$

$9$                  $6$

             $\sum f_{i}$ = $120$

Now, the total number of frequency data is even.

Therefore,

• Median = $\frac{n}{2}$     ( n = even )
• Median = $\frac{120}{2}$
• Median = $60$

Hence, the given frequency distribution data's median = $60$.