model 5 find new average from error Practice Questions Answers Test with Solutions & More Shortcuts
average PRACTICE TEST [9 - EXERCISES]
model 1 basic average questions
model 2 average of consecutive numbers
model 3 twice, thrice, one third etc. of numbers
model 4 find nth average from 1st & last number
model 5 find new average from error
model 6 find average of excluded number
model 7 average on ages/weight
model 8 find monthly income
model 9 average on cricket/exam
Question : 11
The average of 50 numbers is 38. If two numbers, namely 45 and 55 are discarded, the average of the remaining numbers is
a) 37.9
b) 37.5
c) 37.0
d) 36.5
Answer »Answer: (b)
Sum of 50 numbers = 50 × 38 = 1900
Sum of 48 numbers = 1900 – 45 – 55 = 1800
∴ Required average = $1800/48$ = 37.5
Question : 12 [SSC CGL Tier-I 2016]
The average of 9 observations was found to be 35. Later on, it was detected that an observation 81 was misread as 18. The correct average of the observations is :
a) 42
b) 28
c) 45
d) 32
Answer »Answer: (a)
Correct sum of 9 observations
= 9 × 35 – 18 + 81
= 315 + 63 = 378
∴ Required correct average = $378/9$ = 42
Question : 13 [SSC CGL Tier-1 2011]
The average of 25 observations is 13. It was later found that an observation 73 was wrongly entered as 48. The new average is
a) 14
b) 12.6
c) 13.8
d) 15
Answer »Answer: (a)
Difference of two observations = 73 – 48 = 25
∴ New average = 13 + $25/25$=14
Aliter : Using Rule 26,
If average of n numbers is m later on it was found that a number 'a’ was misread as 'b’.
The correct average will be = m +${\text"(a-b)"}/ \text"n"$.
Here, n = 25, m = 13
a = 73, b = 48
Correct Average = m + ${\text"(a-b)"}/ \text"n"n$
= 13 +${(73- 48)}/25$
= 13 + 1 = 14
Question : 14 [SSC Assistant Grade-III 2012]
In an exam, the average marks obtained by the students was found to be 60. After omission of computational errors, the average marks of 100 candidates had to be changed from 60 to 30 and the average with respect to all the examinees came down to 45 marks. The total number of candidates who took the exam, was
a) 210
b) 200
c) 180
d) 240
Answer »Answer: (b)
Let the number of candidates be x, then
60x – 45x = 30 × 100
⇒ 15x = 3000
⇒ x = 200
Question : 15 [SSC CGL Tier-II 2015]
The average of 20 numbers is calculated as 35. It is dicovered later, that while calculating the average, one number, namely 85, was read as 45. The correct average is
a) 37
b) 36.5
c) 36
d) 37.5
Answer »Answer: (a)
Correct sum of 20 numbers
= 20 × 35 – 45 + 85
= 700 + 40 = 740
∴ Correct average = $740/20$ = 37
Aliter : Using Rule 26,
If average of n numbers is m later on it was found that a number 'a’ was misread as 'b’.
The correct average will be = m +${\text"(a-b)"}/ \text"n"$.
Here, n = 20, m = 35
a = 85, b = 45
Correct mean = m + ${\text"(a - b)"}/\text"n"$
= 35 +${(85 - 45)}/20$
= 35 + 2 = 37
IMPORTANT quantitative aptitude EXERCISES
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Basic Average Questions Practice Test, Shortcuts, Tricks, PDF »
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New Average Aptitude MCQ Average of Consecutive Numbers »
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Top 99+ Average Aptitude: Twice, One Third of Numbers MCQ »
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New +99 Average Aptitude MCQ Find nth Average of Numbers »
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99+ Average Aptitude Find New Average from Error MCQ Test »
-
Top 99+ Aptitude MCQ Test on Average With Excluded Number »
-
Top 99+ Aptitude Average on Ages & Weights MCQ Test Quiz »
-
Top Aptitude Average MCQ Find Monthly Income for Average »
-
Top 149+ Aptitude Average on Cricket & Exam MCQ Test Quiz »
model 5 find new average from error Shortcuts »
Click to Read...model 5 find new average from error Online Quiz
Click to Start..average Shortcuts and Techniques with Examples
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model 1 basic average questions
Defination & Shortcuts … -
model 2 average of consecutive numbers
Defination & Shortcuts … -
model 3 twice, thrice, one third etc. of numbers
Defination & Shortcuts … -
model 4 find nth average from 1st & last number
Defination & Shortcuts … -
model 5 find new average from error
Defination & Shortcuts … -
model 6 find average of excluded number
Defination & Shortcuts … -
model 7 average on ages/weight
Defination & Shortcuts … -
model 8 find monthly income
Defination & Shortcuts … -
model 9 average on cricket/exam
Defination & Shortcuts …
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