14. Find the average of the
following:
2 /10 , 3/10 ,5/10
Answers
Answer:
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Answer:
The given numbers are:
\dfrac{2}{10} ,\dfrac{5}{10},\dfrac{6}{10},\dfrac{7}{10}
10
2
,
10
5
,
10
6
,
10
7
and \dfrac{8}{10}
10
8
Here, number of observations = 5
To find, the average of \dfrac{2}{10} ,\dfrac{5}{10},\dfrac{6}{10},\dfrac{7}{10}
10
2
,
10
5
,
10
6
,
10
7
and \dfrac{8}{10}
10
8
= ?
We know that,
Average = \dfrac{Sum of observations}{Numbers of observations}
Numbersofobservations
Sumofobservations
= \dfrac{1}{5}(\dfrac{2}{10}+\dfrac{5}{10}+\dfrac{6}{10}+\dfrac{7}{10}+\dfrac{8}{10})
5
1
(
10
2
+
10
5
+
10
6
+
10
7
+
10
8
)
= \dfrac{1}{5}(\dfrac{2+5+6+7+8}{10})
5
1
(
10
2+5+6+7+8
)
= \dfrac{1}{5}(\dfrac{2+5+6+7+8}{10})
5
1
(
10
2+5+6+7+8
)
= \dfrac{28}{50}
50
28
Didiving numerator and denominator by 2, we get
= \dfrac{\dfrac{28}{2} }{\dfrac{50}{2}}
2
50
2
28
= \dfrac{14}{25}
25
14
∴ The average of \dfrac{2}{10} ,\dfrac{5}{10},\dfrac{6}{10},\dfrac{7}{10}
10
2
,
10
5
,
10
6
,
10
7
and \dfrac{8}{10}
10
8
= \dfrac{14}{25}
25
14
Thus, the average of \dfrac{2}{10} ,\dfrac{5}{10},\dfrac{6}{10},\dfrac{7}{10}
10
2
,
10
5
,
10
6
,
10
7
and \dfrac{8}{10}
10
8
is equal to \dfrac{14}{25}
25
14
.