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Find the median of:

(i) 17, 19, 32, 10, 22, 21, 9, 35

(ii) 72, 63, 29, 51, 35, 60, 55, 91, 85, 82

(iii) 10, 75, 3, 15, 9, 47, 12, 48, 4, 81, 17, 27

Answer:

(i) By arranging the numbers in ascending order

We get

9, 10, 17, 19, 21, 22, 32, 35

We know that n = 8 which is even

So we get

Median = ½ {(n/2)th term + (n/2 + 1)th term}

It can be written as

Median = ½ {4th term + 5th term)

By substituting the values

Median = ½ (19 + 21)

On further calculation

Median = ½ (40)

We get

Median = 20

(ii) By arranging the numbers in ascending order

We get

29, 35, 51, 55, 6, 63, 72, 82, 85, 91

We know that n = 10 which is even

So we get

Median = ½ {(n/2)th term + (n/2 + 1)th term}

It can be written as

Median = ½ {5th term + 6th term)

By substituting the values

Median = ½ (60 + 63)

On further calculation

Median = ½ (123)

We get

Median = 61.5

(iii) By arranging the numbers in ascending order

We get

3, 4, 9, 10, 12, 15, 17, 27, 47, 48, 75, 81

We know that n = 12 which is even

So we get

Median = ½ {(n/2)th term + (n/2 + 1)th term}

It can be written as

Median = ½ {6th term + 7th term)

By substituting the values

Median = ½ (15 + 17)

On further calculation

Median = ½ (32)

We get

Median = 16

"hello students welcome to leader
homework
my name is anand anand sharma question
is
find the median of the given three
so start with the first one here arrange
in ascending order
first 9
10 17 19
21 22
32 and 35
we know that if you count n will be
equal to 8 which means it is even
so median will be
term
plus
n plus 1 by 2
term
into half so
this will be one by two
and which will be answer is 20
so the first median is 20
second one again rearrange into
ascending order and that is
29 35
55 6
72
85 and 91 so now if you count
n which is equal to 10 so the formula
will be
so here median formula will be
1 by 2
fifth term plus sixth term
and which will be
so here median you will get
okay and now the third one
first of all note down in the ascending
order
3 4 9 10
12 15 17
27 47
48 75
81
now n is equal to 12 so median will be
plus
okay term
15 plus 17 nth term and n plus 1 on
further calculation you will get 16
so median for this is 16
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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