Calculate arthmetic mean from the following data: X: 4 5 6 7 8 frequency: 12 10 18 20 24
Answers
Answered by
1
Step-by-step explanation:
First Quartile Q1 =
n
+
1
4
th term.
=
10
+
1
4
th term = 2.75th term
= 2nd term + 0.75 × (3rd term – 2nd term)
= 10 + 0.75 × (15 – 10)
= 10 + 3.75
= 13.75
Third Quartile Q3 =
3
(
n
+
1
)
4
th term.
=
3
(
10
+
1
)
4
th term = 8.25th term
= 8th term + 0.25 × (9th term – 8th term)
= 21 + 0.25 × (25 – 21)
= 21 + 1
= 22
Coefficient of Quartile Deviation
=
Q
3
–
Q
1
Q
3
+
Q
1
×
100
=
22
–
13.75
22
+
13.75
×
100
=
8.25
35.75
×
100
≈ 23.08
Question 2:
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