Average MCQ & Objective Questions
The concept of "Average" is a fundamental topic in mathematics that plays a crucial role in various exams. Understanding averages not only helps in solving mathematical problems but also enhances analytical skills. Practicing MCQs and objective questions on averages is essential for students aiming to excel in their exams. By focusing on important questions and practice questions, students can significantly improve their performance in both school and competitive exams.
What You Will Practise Here
Definition and types of averages: Mean, Median, and Mode
Formulas for calculating averages
Applications of averages in real-life scenarios
Solving problems involving weighted averages
Understanding the impact of outliers on averages
Comparison of averages in different data sets
Practice with Average MCQ questions and objective questions with answers
Exam Relevance
The topic of averages is frequently tested in various examinations such as CBSE, State Boards, NEET, and JEE. Students can expect questions that require them to calculate the mean, median, or mode of given data sets. Common question patterns include direct calculations, word problems, and scenarios that require the application of averages in practical contexts. Mastering this topic is vital for achieving high scores in both school assessments and competitive exams.
Common Mistakes Students Make
Confusing mean with median and mode
Overlooking the effect of outliers on the average
Misapplying formulas in weighted average problems
Failing to read the question carefully, leading to incorrect interpretations
Neglecting to check calculations for accuracy
FAQs
Question: What is the difference between mean, median, and mode?Answer: Mean is the average of all numbers, median is the middle value when numbers are arranged in order, and mode is the number that appears most frequently.
Question: How do outliers affect the average?Answer: Outliers can skew the mean significantly, making it higher or lower than the typical values in the data set.
Question: Why is it important to practice Average MCQ questions?Answer: Practicing MCQs helps reinforce understanding, improves problem-solving speed, and prepares students for the types of questions they will encounter in exams.
Start your journey towards mastering averages today! Solve practice MCQs and test your understanding to ensure you are well-prepared for your upcoming exams.
Q. A student scored 80, 85, 90, and 95 in four subjects. What is the average score?
Show solution
Solution
Average = (80 + 85 + 90 + 95) / 4 = 350 / 4 = 87.5.
Correct Answer:
C
— 88
Learn More →
Q. A student scored 80, 90, 70, and 60 in four subjects. What score does he need in the fifth subject to have an average of 75?
Show solution
Solution
Total required for average of 75 = 5 * 75 = 375. Current total = 80 + 90 + 70 + 60 = 300. Required score = 375 - 300 = 75.
Correct Answer:
B
— 80
Learn More →
Q. A student scored 80, 90, and 70 in three subjects. What score does he need in the fourth subject to have an average of 85?
Show solution
Solution
Total score needed for average of 85 = 4 * 85 = 340. Current total = 80 + 90 + 70 = 240. Score needed = 340 - 240 = 100.
Correct Answer:
B
— 95
Learn More →
Q. A student scores 60, 70, and 80 in three subjects. If he wants an average of 75, what score does he need in the fourth subject?
Show solution
Solution
Let the fourth score be x. (60 + 70 + 80 + x) / 4 = 75. Solving gives x = 90.
Correct Answer:
D
— 85
Learn More →
Q. A student scores 80, 85, and 90 in three tests. What score does he need in the fourth test to have an average of 85?
Show solution
Solution
Let the fourth score be x. (80 + 85 + 90 + x) / 4 = 85. Solving gives x = 95.
Correct Answer:
C
— 90
Learn More →
Q. A student scores 80, 90, 70, and 60 in four subjects. What is the average score?
Show solution
Solution
Average = (80 + 90 + 70 + 60) / 4 = 300 / 4 = 75.
Correct Answer:
B
— 80
Learn More →
Q. A student scores 80, 90, 70, and 60 in four subjects. What score does he need in the fifth subject to achieve an average of 75?
Show solution
Solution
Total required for average of 75 = 5 * 75 = 375. Total of four scores = 80 + 90 + 70 + 60 = 300. Required score = 375 - 300 = 75.
Correct Answer:
C
— 85
Learn More →
Q. A student scores 80, 90, 70, and 60 in four subjects. What score does he need in the fifth subject to have an average of 75?
Show solution
Solution
Total required for average of 75 = 5 * 75 = 375. Current total = 80 + 90 + 70 + 60 = 300. Required score = 375 - 300 = 75.
Correct Answer:
C
— 85
Learn More →
Q. A student scores 80, 90, and 70 in three subjects. If he wants an average of 85 after scoring in a fourth subject, what should he score?
Show solution
Solution
Total score needed for average of 85 = 4 * 85 = 340. Current total = 80 + 90 + 70 = 240. Required score = 340 - 240 = 100.
Correct Answer:
B
— 95
Learn More →
Q. A student scores 80, 90, and 70 in three subjects. What score does he need in the fourth subject to achieve an average of 85?
Show solution
Solution
Total score needed for average of 85 = 4 * 85 = 340. Current total = 80 + 90 + 70 = 240. Score needed = 340 - 240 = 100.
Correct Answer:
B
— 95
Learn More →
Q. A student scores 80, 90, and 70 in three subjects. What score does he need in the fourth subject to have an average of 85?
Show solution
Solution
Let the score in the fourth subject be x. The average is (80 + 90 + 70 + x) / 4 = 85. Thus, 240 + x = 340, so x = 100.
Correct Answer:
B
— 95
Learn More →
Q. If the average of 10 numbers is 50 and the average of another 10 numbers is 60, what is the average of all 20 numbers?
Show solution
Solution
Total of first 10 numbers = 10 * 50 = 500. Total of second 10 numbers = 10 * 60 = 600. Combined total = 500 + 600 = 1100. Average = 1100 / 20 = 55.
Correct Answer:
A
— 55
Learn More →
Q. If the average of 12 numbers is 24, what is the average if one number is increased by 12?
Show solution
Solution
Total of 12 numbers = 12 * 24 = 288. New total = 288 + 12 = 300. New average = 300 / 12 = 25.
Correct Answer:
B
— 26
Learn More →
Q. If the average of 12 numbers is 25, what is the average if one number is replaced by 35?
Show solution
Solution
Total = 12 * 25 = 300. New total = 300 - x + 35. New average = (300 - x + 35) / 12.
Correct Answer:
B
— 26
Learn More →
Q. If the average of 12 numbers is 45, what will be the average if one number is removed which is 60?
Show solution
Solution
Total = 12 * 45 = 540. New total = 540 - 60 = 480. New average = 480 / 11 = 43.64.
Correct Answer:
A
— 44
Learn More →
Q. If the average of 15 numbers is 60, what is the average if one number is replaced by 90?
Show solution
Solution
Total = 15 * 60 = 900. New total = 900 - x + 90. New average = (900 - x + 90) / 15.
Correct Answer:
B
— 62
Learn More →
Q. If the average of 4 numbers is 15, what is the sum of those numbers?
Show solution
Solution
The sum of the numbers is 4 * 15 = 60.
Correct Answer:
A
— 45
Learn More →
Q. If the average of 5 numbers is 40 and one number is 60, what is the average of the remaining four numbers?
Show solution
Solution
Total of 5 numbers = 5 * 40 = 200. Total of remaining four = 200 - 60 = 140. New average = 140 / 4 = 35.
Correct Answer:
A
— 35
Learn More →
Q. If the average of 5 numbers is 60, what is the average of the first 4 numbers if the fifth number is 80?
Show solution
Solution
Total of 5 numbers = 5 * 60 = 300. Total of first 4 numbers = 300 - 80 = 220. Average of first 4 = 220 / 4 = 55.
Correct Answer:
A
— 55
Learn More →
Q. If the average of 5 numbers is 60, what is the sum of those numbers?
A.
300
B.
250
C.
350
D.
400
Show solution
Solution
Sum = Average * Number of items = 60 * 5 = 300.
Correct Answer:
A
— 300
Learn More →
Q. If the average of 6 numbers is 12 and the average of 4 other numbers is 15, what is the average of all 10 numbers?
Show solution
Solution
Total of first 6 numbers = 6 * 12 = 72. Total of next 4 numbers = 4 * 15 = 60. Combined total = 72 + 60 = 132. Average = 132 / 10 = 13.2.
Correct Answer:
B
— 14
Learn More →
Q. If the average of 8 numbers is 24, what is the sum of these numbers?
A.
192
B.
200
C.
208
D.
216
Show solution
Solution
The sum of the numbers is 8 * 24 = 192.
Correct Answer:
A
— 192
Learn More →
Q. If the average of 8 numbers is 45, what is the average of the first 4 numbers if their sum is 180?
Show solution
Solution
Average of first 4 numbers = 180 / 4 = 45.
Correct Answer:
B
— 50
Learn More →
Q. If the average of 8 numbers is 45, what is the sum of these numbers?
A.
360
B.
400
C.
450
D.
480
Show solution
Solution
Sum = Average * Number of items = 45 * 8 = 360.
Correct Answer:
C
— 450
Learn More →
Q. If the average of 8 numbers is 50, what is the average if one number is removed and the new average is 52?
Show solution
Solution
Total of 8 numbers = 50 * 8 = 400. New total = 52 * 7 = 364. The removed number = 400 - 364 = 36.
Correct Answer:
B
— 51
Learn More →
Q. If the average of 8 numbers is 50, what is the average if one number is removed and it was 60?
Show solution
Solution
Total = 50 * 8 = 400. New total = 400 - 60 = 340. New average = 340 / 7 = 48.57.
Correct Answer:
B
— 49
Learn More →
Q. If the average of 8 numbers is 50, what will be the average if one number is increased by 10?
Show solution
Solution
Total of 8 numbers = 8 * 50 = 400. New total = 400 + 10 = 410. New average = 410 / 8 = 51.25, approximately 51.
Correct Answer:
B
— 51
Learn More →
Q. If the average of a, b, and c is 20, what is the sum of a, b, and c?
Show solution
Solution
Sum = Average * Number of items = 20 * 3 = 60.
Correct Answer:
A
— 60
Learn More →
Q. If the average of five numbers is 12, what is their total sum?
Show solution
Solution
Total sum = Average * Number of items = 12 * 5 = 60.
Correct Answer:
A
— 48
Learn More →
Q. If the average of three numbers is 15 and the first two numbers are 10 and 20, what is the third number?
Show solution
Solution
Total of three numbers = 3 * 15 = 45. Sum of first two numbers = 10 + 20 = 30. Third number = 45 - 30 = 15.
Correct Answer:
D
— 25
Learn More →
Showing 31 to 60 of 107 (4 Pages)
