Question : The average marks of 100 students were initially calculated as 40. Later, it was discovered that a score of 53 was misread as 83. What is the correct average mark after fixing this misread score?
Option 1: 38.7
Option 2: 39
Option 3: 39.7
Option 4: 41
Correct Answer: 39.7
Solution : Given: The average marks of 100 students were found to be 40. It was discovered that a score of 53 was misread as 83. Difference = 83 – 53 = 30 $\therefore$ Final average = 40 – $\frac{30}{100}$ = 39.7 Hence, the correct answer is 39.7.
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Question : The average of $n$ observations is 40. If one observation of value 80 is added, then the average of all the observations is 41. What is the value of $n$?
Option 1: 40
Option 3: 38
Option 4: 43
Question : The average weight of some students in a class was 60.5 kg. When 8 students, whose average weight was 65 kg, joined the class, then the average weight of all the students increased by 0.9 kg. The number of students in the class, initially, was:
Option 1: 37
Option 2: 42
Option 3: 32
Option 4: 40
Question : A person's weight was entered incorrectly as 83 kg instead of 63 kg. As a result, the average weight of a group of people increased by 500 gm. What is the total number of people in the group?
Option 1: 44
Option 2: 48
Option 3: 40
Option 4: 50
Question : The average temperature for Monday, Wednesday and Friday was 41°C. The average for Wednesday, Friday and Thursday was 42°C. If the temperature on Thursday was 43°C, then the temperature on Monday was:
Option 1: 43°C
Option 2: 41°C
Option 3: 42°C
Option 4: 40°C
Question : The average score in an English exam of a class of 45 students in a coaching centre is 52. A group of 6 boys having an average score of 40 leave the class and another group of eight boys having an average score of 43 join the class. What is the new average score of the class?
Option 1: 48
Option 2: 53
Option 3: 49.5
Option 4: 52
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