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Question 1 Mean Median And Mode Of Ungrouped Data Exercise 18C

Find the median of:

(i) 2, 10, 9, 9, 5, 2, 3, 7, 11

(ii) 15, 6, 16, 8, 22, 21, 9, 18, 25

(iii) 20, 13, 18, 25, 6, 15, 21, 9, 16, 8, 22

(iv) 7, 4, 2, 5, 1, 4, 0, 10, 3, 8, 5, 9, 2

Answer:

(i) By arranging the numbers in ascending order

We get

2, 2, 3, 5, 7, 9, 9, 10, 11

We know that n = 9 is odd

So we get

Median = ½ (n + 1) th term

By substituting the values

Median = ½ (9 + 1) th term

It can be written as

Median = value of the 5th term = 7

We get

Median = 7

(ii) By arranging the numbers in ascending order

We get

6, 8, 9, 15, 16, 18, 21, 22, 25

We know that n = 9 is odd

So we get

Median = ½ (n + 1) th term

By substituting the values

Median = ½ (9 + 1) th term

It can be written as

Median = value of the 5th term = 16

We get

Median = 16

(iii) By arranging the numbers in ascending order

We get

6, 8, 9, 13, 15, 16, 18, 20, 21, 22, 25

We know that n = 11 is odd

So we get

Median = ½ (n + 1) th term

By substituting the values

Median = ½ (11 + 1) th term

It can be written as

Median = value of the 6th term = 16

We get

Median = 16

(iv) By arranging the numbers in ascending order

We get

0, 1, 2, 2, 3, 4, 4, 5, 5, 7, 8, 9, 10

We know that n = 13 is odd

So we get

Median = ½ (n + 1) th term

By substituting the values

Median = ½ (13 + 1) th term

It can be written as

Median = value of the 7th term = 4

We get

Median = 4

"hello students welcome to leader
homework
my name is anand anand sharma question
is
find the median of all the given numbers
starting with the first one here first
of all note down all the numbers in
ascending order
ascending order is 2 2
3 5 7
9 9 10 and 11
so if you count these are n is equal to
9
which is odd so the median formula will
be
1 by 2 in bracket n plus 1
so 1 by 2 9 plus 1 will be
fifth term
and fifth term is seven so first median
is seven second
ascending order its ascending order will
be
starting with 6 8
9 15
16 18
21 22
and 25 now if you count
again these are n is equal to 9
which is odd so median will be
fifth term
and here fifth term is 16
so median is
16 for the third one
let me clear the broad
okay now third one here
again arrange them into ascending order
which is
6 8 9
13 15
16 18 20
21 22 25
so here n is a 11
which is odd so median formula will be
1 by 2 in bracket n plus 1
which is 1 by 2
11 plus 1 sixth term
so median equal to
check which one is the sixth term in the
sequence
that is 16 so 16 is the answer
and last that is fourth one arrange them
into ascending order
it is 0 1
2 2 3
four four then
five five then seven
then eight nine
and last ten so here if you count
n is 13 so median will be
1 by 2 13 plus 1
term which will be
seventh term and the seventh term
is four so this median is
4 that's all for this question
if you have any queries feel free to
comment below and don't forget to
subscribe to the channel
thank you"

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