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NDA Math Sets Relations and Functions
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© examsnet.com
Question : 34
Total: 90
The average of a set of 15 observations is recorded, but later it is found that for one observation, the digit in the tens place was wrongly recorded as 8 instead of 3. After correcting the observation, the average is
[NDA-I 2021]
reduced by
1
3
increased by
10
3
reduced by
10
3
reduced by 50
Validate
Solution:
👈: Video Solution
Calculation:
Let the average initially be
x
Then the sum of the observations
=
15
x
As the tens digit is recorded 5 more, therefore the sum is 50 more then the correct sum.
Correct sum of the observations
=
15
x
−
50
The correct average
=
15
x
−
50
15
=
x
−
10
3
∴
The average is reduced by
10
3
© examsnet.com
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