Railways Exam > Railways Questions > The average of 6 consecutive numbers is 12.5....
Start Learning for Free
The average of 6 consecutive numbers is 12.5. If the next 3 numbers are also included, then what will be the new average?
- a)13
- b)13.5
- c)14
- d)14.5
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The average of 6 consecutive numbers is 12.5. If the next 3 numbers ar...
Given, the average of 6 consecutive numbers is 12.5.
Sum of six numbers = 6 × 12.5 = 75
Let 6 consecutive numbers be x - 3, x - 2, x - 1, x, x + 1, x + 2 respectively.
Average = sum of elements / number of elements
⇒ 12.5 = [(x - 3) + (x - 2) + (x - 1) + x + (x + 1) + (x + 2)]/6
⇒ 12.5 = [6x - 3]/6
⇒ x = 13
then the next three numbers are (x + 3), (x + 4) and (x + 5) = 16, 17 and 18
Sum of all 9 numbers = 75 + 16 + 17 + 18 = 126
Average of 9 numbers = 126/9 = 14
∴ New average is 14.
Most Upvoted Answer
The average of 6 consecutive numbers is 12.5. If the next 3 numbers ar...
Problem:
The average of 6 consecutive numbers is 12.5. If the next 3 numbers are also included, then what will be the new average?
Solution:
To find the new average, we need to consider the additional three numbers. Let's break down the problem step by step.
Step 1: Finding the sum of the 6 consecutive numbers.
Let's assume the first number in the sequence is 'x'. Since the numbers are consecutive, the six numbers will be x, x+1, x+2, x+3, x+4, and x+5. The average of these numbers is given as 12.5. Therefore, we can write the equation as:
(x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5))/6 = 12.5
Simplifying the equation:
6x + 15 = 75
6x = 60
x = 10
So, the first number in the sequence is 10.
Step 2: Finding the sum of the 9 consecutive numbers.
Now that we have the first number of the sequence, we can find the sum of the nine consecutive numbers. The additional three numbers will be x+6, x+7, and x+8. Therefore, the sum of the nine consecutive numbers will be:
(10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18) = 126
Step 3: Finding the new average.
To find the new average, we divide the sum of the nine consecutive numbers by 9 (since there are nine numbers now):
126/9 = 14
Therefore, the new average is 14.
Hence, the correct answer is option 'C' (14).
The average of 6 consecutive numbers is 12.5. If the next 3 numbers are also included, then what will be the new average?
Solution:
To find the new average, we need to consider the additional three numbers. Let's break down the problem step by step.
Step 1: Finding the sum of the 6 consecutive numbers.
Let's assume the first number in the sequence is 'x'. Since the numbers are consecutive, the six numbers will be x, x+1, x+2, x+3, x+4, and x+5. The average of these numbers is given as 12.5. Therefore, we can write the equation as:
(x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5))/6 = 12.5
Simplifying the equation:
6x + 15 = 75
6x = 60
x = 10
So, the first number in the sequence is 10.
Step 2: Finding the sum of the 9 consecutive numbers.
Now that we have the first number of the sequence, we can find the sum of the nine consecutive numbers. The additional three numbers will be x+6, x+7, and x+8. Therefore, the sum of the nine consecutive numbers will be:
(10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18) = 126
Step 3: Finding the new average.
To find the new average, we divide the sum of the nine consecutive numbers by 9 (since there are nine numbers now):
126/9 = 14
Therefore, the new average is 14.
Hence, the correct answer is option 'C' (14).
Attention Railways Students!
To make sure you are not studying endlessly, EduRev has designed Railways study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Railways.
|
Explore Courses for Railways exam
|
|
Similar Railways Doubts
Top Courses for RailwaysView all
The average of 6 consecutive numbers is 12.5. If the next 3 numbers are also included, then what will be the new average?a)13b)13.5c)14d)14.5Correct answer is option 'C'. Can you explain this answer?
Question Description
The average of 6 consecutive numbers is 12.5. If the next 3 numbers are also included, then what will be the new average?a)13b)13.5c)14d)14.5Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The average of 6 consecutive numbers is 12.5. If the next 3 numbers are also included, then what will be the new average?a)13b)13.5c)14d)14.5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of 6 consecutive numbers is 12.5. If the next 3 numbers are also included, then what will be the new average?a)13b)13.5c)14d)14.5Correct answer is option 'C'. Can you explain this answer?.
The average of 6 consecutive numbers is 12.5. If the next 3 numbers are also included, then what will be the new average?a)13b)13.5c)14d)14.5Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The average of 6 consecutive numbers is 12.5. If the next 3 numbers are also included, then what will be the new average?a)13b)13.5c)14d)14.5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of 6 consecutive numbers is 12.5. If the next 3 numbers are also included, then what will be the new average?a)13b)13.5c)14d)14.5Correct answer is option 'C'. Can you explain this answer?.
Solutions for The average of 6 consecutive numbers is 12.5. If the next 3 numbers are also included, then what will be the new average?a)13b)13.5c)14d)14.5Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
Download more important topics, notes, lectures and mock test series for Railways Exam by signing up for free.
Here you can find the meaning of The average of 6 consecutive numbers is 12.5. If the next 3 numbers are also included, then what will be the new average?a)13b)13.5c)14d)14.5Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The average of 6 consecutive numbers is 12.5. If the next 3 numbers are also included, then what will be the new average?a)13b)13.5c)14d)14.5Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The average of 6 consecutive numbers is 12.5. If the next 3 numbers are also included, then what will be the new average?a)13b)13.5c)14d)14.5Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The average of 6 consecutive numbers is 12.5. If the next 3 numbers are also included, then what will be the new average?a)13b)13.5c)14d)14.5Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The average of 6 consecutive numbers is 12.5. If the next 3 numbers are also included, then what will be the new average?a)13b)13.5c)14d)14.5Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Railways tests.
|
|
Explore Courses for Railways exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup