We are given that the arithmetic mean of 100 observations is 50.
A key property of the arithmetic mean is that if a constant value is added to every observation in a dataset, the mean of the dataset increases by that same constant value.
In this case:
Using the property mentioned above, the new arithmetic mean can be calculated directly:
\(\text{New Mean} = \text{Original Mean} + \text{Constant Added}\)
\(\text{New Mean} = 50 + 10\)
\(\text{New Mean} = 60\)
Therefore, the new arithmetic mean will be 60.
A person purchases one kg of tea powder from each of the four places \(A, B, C, D\) at the rate of ₹1000 per 1 kg, 2 kg, 4 kg, 5 kg. If on an average he purchased \(x\) kg of tea powder per ₹1000, then what is the approximate value of \(x\) ?
The arithmetic mean of \(n\) numbers is \(M\). If the sum of first \((n - 1)\) terms is \(k\), then what is the \(n\)th number?
If the average of 64, 69, 72, 75, x lies between 62 and 76 (excluding 62 and 76), then what is the number of possible integer values of x?
Average of 40 numbers is 71, if the number 100 replaced by 140, then average is increased by
The captain of a football team of 11 members is 28 years old and the goalkeeper is 4 years older than him. If the ages of these two are removed, then the average age of the remaining players is two years less than the average age of the whole team. What is the average age of the team?
There are two Classes A and B having 25 and 30 students respectively. In Class-A the highest score is 21 and lowest score is 17. In Class-B the highest score is 30 and lowest score is 22. Four students are shifted from Class-A to Class-B.
Consider the following statements:
1. The average score of Class-B will definitely decrease.
2. The average score of Class-A will definitely increase.
Which of the above statements is/are correct?
The average weight of A, B, Cis 40 kg, the average weight of B, D, Eis 42 kg and the weight of Fis equal to that of B. What is the average weight of A, B, C, D, Eand F?
A cow costs more than 4 goats but less than 5 goats. If a goat costs between Rs. 600 and Rs. 800, which of the following is a most valid conclusion?