Commerce Exam > Commerce Questions > Find the value ‘p + q’, if mean o...
Start Learning for Free
Find the value ‘p + q’, if mean of set of numbers 3, 6, 7, 14, p, 34, 26, q, 12 is given as 22.
- a)96
- b)88
- c)76
- d)75
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Find the value ‘p + q’, if mean of set of numbers 3, 6, 7,...
Concept:
The mean (or average) of a number of observations is the sum of the values of all the observations divided by the total number of observations. It is denoted by the symbol, read as ‘x bar’.
The mean (or average) of a number of observations is the sum of the values of all the observations divided by the total number of observations. It is denoted by the symbol, read as ‘x bar’.
Calculation:
Given data 3, 6, 7, 14, p, 34, 26, q and 12.
Mean
∴ p + q = 96
Given data 3, 6, 7, 14, p, 34, 26, q and 12.
Mean
∴ p + q = 96
Free Test
FREE
| Start Free Test |
Community Answer
Find the value ‘p + q’, if mean of set of numbers 3, 6, 7,...
Understanding the Problem
To find the value of 'p + q' given the mean of the numbers, we first need to understand the concept of mean. The mean is calculated by dividing the sum of all numbers by the total count of those numbers.
Given Data
We have the numbers: 3, 6, 7, 14, p, 34, 26, q, 12.
- Total Count of Numbers = 9
- Given Mean = 22
Calculating the Total Sum
The formula for mean can be expressed as:
\[
\text{Mean} = \frac{\text{Sum of all numbers}}{\text{Total count of numbers}}
\]
Substituting the known values:
\[
22 = \frac{3 + 6 + 7 + 14 + p + 34 + 26 + q + 12}{9}
\]
Now, we multiply both sides by 9 to isolate the sum:
\[
22 \times 9 = 3 + 6 + 7 + 14 + p + 34 + 26 + q + 12
\]
Calculating the left side:
\[
198 = 3 + 6 + 7 + 14 + p + 34 + 26 + q + 12
\]
Calculating the Known Sum
Now, let's sum the known numbers:
\[
3 + 6 + 7 + 14 + 34 + 26 + 12 = 102
\]
Substituting this back into the equation:
\[
198 = 102 + p + q
\]
Finding p + q
Now, we can solve for \( p + q \):
\[
p + q = 198 - 102 = 96
\]
Conclusion
Thus, the value of \( p + q \) is 96. Hence, the correct answer is option 'A'.
To find the value of 'p + q' given the mean of the numbers, we first need to understand the concept of mean. The mean is calculated by dividing the sum of all numbers by the total count of those numbers.
Given Data
We have the numbers: 3, 6, 7, 14, p, 34, 26, q, 12.
- Total Count of Numbers = 9
- Given Mean = 22
Calculating the Total Sum
The formula for mean can be expressed as:
\[
\text{Mean} = \frac{\text{Sum of all numbers}}{\text{Total count of numbers}}
\]
Substituting the known values:
\[
22 = \frac{3 + 6 + 7 + 14 + p + 34 + 26 + q + 12}{9}
\]
Now, we multiply both sides by 9 to isolate the sum:
\[
22 \times 9 = 3 + 6 + 7 + 14 + p + 34 + 26 + q + 12
\]
Calculating the left side:
\[
198 = 3 + 6 + 7 + 14 + p + 34 + 26 + q + 12
\]
Calculating the Known Sum
Now, let's sum the known numbers:
\[
3 + 6 + 7 + 14 + 34 + 26 + 12 = 102
\]
Substituting this back into the equation:
\[
198 = 102 + p + q
\]
Finding p + q
Now, we can solve for \( p + q \):
\[
p + q = 198 - 102 = 96
\]
Conclusion
Thus, the value of \( p + q \) is 96. Hence, the correct answer is option 'A'.
Attention Commerce Students!
To make sure you are not studying endlessly, EduRev has designed Commerce study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Commerce.
|
Explore Courses for Commerce exam
|
|
Similar Commerce Doubts
Top Courses for CommerceView all
Find the value ‘p + q’, if mean of set of numbers 3, 6, 7, 14, p, 34, 26, q, 12 is given as 22.a)96b)88c)76d)75Correct answer is option 'A'. Can you explain this answer?
Question Description
Find the value ‘p + q’, if mean of set of numbers 3, 6, 7, 14, p, 34, 26, q, 12 is given as 22.a)96b)88c)76d)75Correct answer is option 'A'. Can you explain this answer? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about Find the value ‘p + q’, if mean of set of numbers 3, 6, 7, 14, p, 34, 26, q, 12 is given as 22.a)96b)88c)76d)75Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the value ‘p + q’, if mean of set of numbers 3, 6, 7, 14, p, 34, 26, q, 12 is given as 22.a)96b)88c)76d)75Correct answer is option 'A'. Can you explain this answer?.
Find the value ‘p + q’, if mean of set of numbers 3, 6, 7, 14, p, 34, 26, q, 12 is given as 22.a)96b)88c)76d)75Correct answer is option 'A'. Can you explain this answer? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about Find the value ‘p + q’, if mean of set of numbers 3, 6, 7, 14, p, 34, 26, q, 12 is given as 22.a)96b)88c)76d)75Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the value ‘p + q’, if mean of set of numbers 3, 6, 7, 14, p, 34, 26, q, 12 is given as 22.a)96b)88c)76d)75Correct answer is option 'A'. Can you explain this answer?.
Solutions for Find the value ‘p + q’, if mean of set of numbers 3, 6, 7, 14, p, 34, 26, q, 12 is given as 22.a)96b)88c)76d)75Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Commerce.
Download more important topics, notes, lectures and mock test series for Commerce Exam by signing up for free.
Here you can find the meaning of Find the value ‘p + q’, if mean of set of numbers 3, 6, 7, 14, p, 34, 26, q, 12 is given as 22.a)96b)88c)76d)75Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Find the value ‘p + q’, if mean of set of numbers 3, 6, 7, 14, p, 34, 26, q, 12 is given as 22.a)96b)88c)76d)75Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Find the value ‘p + q’, if mean of set of numbers 3, 6, 7, 14, p, 34, 26, q, 12 is given as 22.a)96b)88c)76d)75Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Find the value ‘p + q’, if mean of set of numbers 3, 6, 7, 14, p, 34, 26, q, 12 is given as 22.a)96b)88c)76d)75Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Find the value ‘p + q’, if mean of set of numbers 3, 6, 7, 14, p, 34, 26, q, 12 is given as 22.a)96b)88c)76d)75Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Commerce tests.
|
|
Explore Courses for Commerce 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!
within 7 days!
Takes less than 10 seconds to signup