MCQ
Numerical: Averages MCQ - Practice Questions with Answers
Solve 34 Numerical: Averages questions for RAS/RPSC preparation.
Practice questions
Q1The average of 6 numbers is to be found. The numbers are 18, 22, 25, 31, 24 and 30. What is their average?
To find the average, first add all the given numbers and then divide by the number of terms. The sum is 18 + 22 + 25 + 31 + 24 + 30 = 150. There are 6 numbers in the list, so the average is 150 ÷ 6 = 25. No further adjustment or rounding is needed because 150 is exactly divisible by 6. Therefore, the average of the given numbers is 25.
Q2The average marks of 5 students are 69. Four students scored 64, 70, 68 and 72 marks. Fill in the blank: the fifth student's marks are ____.
Average means total marks divided by the number of students, so total marks are found by multiplying average by count. If the average of 5 students is 69, their total marks are 69 × 5 = 345. The four known marks add to 64 + 70 + 68 + 72 = 274. The missing marks must be the difference between the required total and the known total. Therefore, the fifth student's marks are 345 − 274 = 71.
Q3Match each group with its average: Group 1: 3, 5, 7; Group 2: 12, 18, 24, 30; Group 3: 8, 10, 12, 14, 16. Which option is correct?
Calculate each average separately. For Group 1, the sum is 3 + 5 + 7 = 15, and 15 ÷ 3 = 5. For Group 2, the sum is 12 + 18 + 24 + 30 = 84, and 84 ÷ 4 = 21. For Group 3, the sum is 8 + 10 + 12 + 14 + 16 = 60, and 60 ÷ 5 = 12. Therefore, the correct matching is Group 1 - 5, Group 2 - 21 and Group 3 - 12.
Q4The average weight of 5 students is 48 kg. A sixth student joins the group, and the average becomes 50 kg. What is the weight of the sixth student?
Use total weight = average × number of students. The total weight of the first 5 students is 5 × 48 = 240 kg. After the sixth student joins, the average is 50 kg for 6 students, so the new total weight is 6 × 50 = 300 kg. The sixth student's weight is the increase in total weight: 300 − 240 = 60 kg. Therefore, the required weight is 60 kg.
Q5A shopkeeper's average sale from Monday to Friday was ₹750 per day. His sales on Monday and Tuesday were ₹600 and ₹750 respectively. Which option gives the correct average sale from Wednesday to Friday?
First find the total sale for five days. Total sale = average × number of days = 750 × 5 = ₹3750. The sale for Monday and Tuesday together was 600 + 750 = ₹1350. So, the sale from Wednesday to Friday = 3750 − 1350 = ₹2400. These are 3 days, so their average sale = 2400 ÷ 3 = ₹800. Therefore, the correct average sale from Wednesday to Friday is ₹800.
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More questions
6For the marks 36, 42, 48, 54 and 60, which option gives the correct average?
7The marks of 8 students in a test are 42, 38, 45, 35, 40, 44, 36 and 40. What is the average mark?
8The average of 8 numbers is 24. If one more number is added, the average becomes 26. What is the added number?
9The average of 7 numbers is 39, and the average of 3 of them is 27. The average of the other 4 numbers is equal to:
10For the numbers 12, 18, 20 and 30, which one of the following statements is incorrect?
11There are four numbers. The average of the first three numbers is 15 and the average of the last three numbers is 16. If the last number is 19, the first number is equal to:
12The average monthly income of A and B is ₹ 6,000, that of B and C is ₹ 5,500 and that of A and C is ₹ 5,250. What is A's monthly income?
13Four students scored 18, 22, 26 and 30 marks. Which statement about their average is correct?
14Match each group with its average: P. First 5 natural numbers, Q. 4, 8, 12, R. 60, 70, 80, 90, S. 10 and 14.
15In a class, 12 boys have an average score of 45 and 8 girls have an average score of 55. Which statement about the combined average is incorrect?