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Byju's Answer
Standard XI
Mathematics
Inequalities Involving Modulus Function
Answer the fo...
Question
Answer the following questions in detail−
From the following data calculate D
1
, D
4
and D
7
11, 15, 12, 16, 13, 17, 14, 18, 20, 19, 25.
21, 24, 22, 23, 29, 28, 25, 26.
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Solution
The given data is first arranged in ascending order as follows:
11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 28, 29
Now, we find the deciles in the following manner:
N
=
19
D
1
=
N
+
1
10
th
item
=
19
+
1
10
=
2
nd
item
Thus
,
D
1
=
12
D
4
=
4
N
+
1
10
th
item
=
8
th
Thus
,
D
4
=
18
D
7
=
7
N
+
1
10
th
item
=
14
th
item
Thus
,
D
7
=
24
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