If the mean of number ${\text{ }}27 + x,{\text{ }}31 + x,{\text{ }}107 + x,{\text{ }}156 + x $is$ {\text{82}}$, then the mean of $130 + x,{\text{ 126}} + x,{\text{ 68}} + x,{\text{ 50}} + x,{\text{ 1}} + x{\text{ is}}$
$
{\text{A}}{\text{. 79}} \\
{\text{B}}{\text{. 157}} \\
{\text{C}}{\text{. 82}} \\
{\text{D}}{\text{. 75}} \\
$
Answer
366.9k+ views
Hint: - Here, we calculate the average of numbers to find unknown values. Average is the sum of all numbers divided by the total number of values.
Mean is the average of the numbers: a calculated central value of a set of numbers.
To calculate it:
Add up all the numbers,
Then divide by how many numbers there are.
Given, ${\text{82 = }}\dfrac{{27 + x + 31 + x + 89 + x + 107 + x + 156 + x}}{5}$
$
\Rightarrow 82 \times 5 = 410 + 5x \\
\therefore x = 0 \\
$
Therefore, required mean is
Mean${\text{ = }}\dfrac{{130 + x + 126 + x + 68 + x + 50 + x + 1 + x}}{5}$
${\text{ = }}\dfrac{{375 + 5x}}{5} = \dfrac{{375 + 0}}{5} = 75$
$\therefore $Option D is the correct answer.
Note: - Whenever we face such a type of question when the mean is given, always try to find the average to get the value of unknown terms and then put the value of that term to get the answer.
Mean is the average of the numbers: a calculated central value of a set of numbers.
To calculate it:
Add up all the numbers,
Then divide by how many numbers there are.
Given, ${\text{82 = }}\dfrac{{27 + x + 31 + x + 89 + x + 107 + x + 156 + x}}{5}$
$
\Rightarrow 82 \times 5 = 410 + 5x \\
\therefore x = 0 \\
$
Therefore, required mean is
Mean${\text{ = }}\dfrac{{130 + x + 126 + x + 68 + x + 50 + x + 1 + x}}{5}$
${\text{ = }}\dfrac{{375 + 5x}}{5} = \dfrac{{375 + 0}}{5} = 75$
$\therefore $Option D is the correct answer.
Note: - Whenever we face such a type of question when the mean is given, always try to find the average to get the value of unknown terms and then put the value of that term to get the answer.
Last updated date: 02nd Oct 2023
•
Total views: 366.9k
•
Views today: 8.66k
Recently Updated Pages
What do you mean by public facilities

Paragraph on Friendship

Slogan on Noise Pollution

Disadvantages of Advertising

Prepare a Pocket Guide on First Aid for your School

10 Slogans on Save the Tiger

Trending doubts
How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

What is meant by shramdaan AVoluntary contribution class 11 social science CBSE

The equation xxx + 2 is satisfied when x is equal to class 10 maths CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Difference Between Plant Cell and Animal Cell

An alternating current can be produced by A a transformer class 12 physics CBSE

What is the value of 01+23+45+67++1617+1819+20 class 11 maths CBSE

Give 10 examples for herbs , shrubs , climbers , creepers
