Calculating Average of Remaining Students
The problem asks for the average score of two students when the average score of five students and the average score of three of those students are known.
Finding Total Scores
First, calculate the total sum of scores for all five students:
- Total sum for 5 students = Average score $\times$ Number of students
- Total sum for 5 students = $39.20 \times 5 = 196$
Next, calculate the total sum of scores for the three students:
- Total sum for 3 students = Average score $\times$ Number of students
- Total sum for 3 students = $41 \times 3 = 123$
Determining Average of Remaining Students
To find the total sum of scores for the remaining two students, subtract the sum of the three students' scores from the total sum of the five students' scores:
- Sum for remaining 2 students = Total sum for 5 students - Total sum for 3 students
- Sum for remaining 2 students = $196 - 123 = 73$
Finally, calculate the average score for the remaining two students:
- Average for remaining 2 students = Sum for remaining 2 students / Number of remaining students
- Average for remaining 2 students = $73 / 2 = 36.5$
The average score of the remaining two students is 36.5.
Similar Questions
- The average of first 167 even numbers is
- The average price of three items of furniture is ₹5,310. If their prices are in the ratio 3 : 5 : 7, the price of the cheapest item (in ₹) is:
- The arithmetic mean of x observations is m. If two observations 0 and m are added, then the new mean will be:
- The average runs scored by a batsman in 23 matches is 43. In the next 10 matches, the batsman scored an average of 16 runs. Find his average runs scored (rounded off to two decimal places) in all the 33 matches.
- The mean of 20 observations is 22.5. One observation was wrongly noted as $-25$ instead of $25$. The correct mean is:
- If the arithmetic mean of 16, 18, 15, 17, p and 14 is 17, then the value of p is:
- If each entry of a piece of data is increased by 7, then the arithmetic mean:
- 15 years is the average age of 36 boys and their professor. The average becomes 17 years if we leave the professor out. What is the age (in years) of the professor?
The following table shows the production of tomatoes (in tons) for three different states, X, Y and Z, over the years 2016 to 2019. Based on the table answer the question given below.
Years /States 2016 2017 2018 2019 X 3 4.2 5.3 4.8 Y 5 5.4 4 5.6 Z 4.1 4.3 5 5.6 - 10 years ago, the average age of a husband and his wife was 42 years. Now, the average age of the family consisting of the husband, wife and their son is 39 years. The present age of the son is:
Important Questions from Average
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?
