Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • In a set of 2n distinct observations, each of the observations below the median of all the observations is increased by 5 and each of the remaining observations is decreased by 3. Then the mean of

In a set of 2n distinct observations, each of the observations below the median of all the observations is increased by 5 and each of the remaining observations is decreased by 3. Then the mean of the new set of observations :

Option: 1

increases by 1.


Option: 2

decreases by 1.


Option: 3

decreases by 2.


Option: 4

 increases by 2.


Answers (1)

best_answer

As learnt

ARITHMETIC Mean -

For the values x1, x2, ....xn of the variant x the arithmetic mean is given by 

x_{n+1}-3, x_{n+2}-3\cdot \cdot \cdot \cdot \cdot \cdot x_{2n}-3

\bar{x}= \frac{x_{1}+x_{2}+x_{3}+\cdots +x_{n}}{n}

in case of discrete data.

-

The observations are x1 x2.................x2n

New observations=x1+5, x2+5 ..........................xn+5

and x_{n+1}-3, x_{n+2}-3\cdot \cdot \cdot \cdot \cdot \cdot x_{2n}-3

\int Q \: \: \: \bar{x}_{new}=\frac{\sum xi+5n-3n}{2n}

                   =\frac{\sum xi}{2n}+1

                   =\bar{x}_{old}+1

Posted by

Irshad Anwar

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2025: Hardwired to excel? Know BTech electrical engineering cut-offs at NITs
anam-khan

JEE Main 2025 chemistry needs conceptual understanding; 5 tips to score high
anam-khan

JEE Main 2025 exam city intimation slip for session 1 soon; paper pattern, exams from January 22

Latest Question