Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Stuck here, help me understand: The mean of the data set comprising of 16 observations is 16. If one of the observation valued 16 is deleted and three new observations valued 3, 4 and 5 are added to the data, then the mean of the resultant data, is :

 The mean of the data set comprising of 16 observations is 16. If one of the observation valued 16 is deleted and three new observations valued 3, 4 and 5 are added to the data, then the mean of the resultant data, is :

  • Option 1)

    16.8

  • Option 2)

    16.0

  • Option 3)

    15.8

  • Option 4)

    14.0

 

Answers (1)

best_answer

As we learnt in

ARITHMETIC Mean -

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

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

in case of discrete data.

-

 

 \frac{\sum xi}{16}= 16

\Rightarrow \sum_{i=1}^{18}v_{i}= \left ( 16\times 16-16 \right )+\left ( 3+4+5 \right )=252

number of observations=18

mean=\frac{252}{18}= 14


Option 1)

16.8

This option is incorrect

Option 2)

16.0

This option is incorrect

Option 3)

15.8

This option is incorrect

Option 4)

14.0

This option is correct

Posted by

Plabita

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 2024 Topper: Farmer’s son Gajare Nilkrishna says ‘keep questioning until you understand’
anam-khan

NIT Puducherry Cut-off 2024: Computer Science and Engineering had highest closing rank last year
anam-khan

JEE Mains: Farmer's son from remote Maharashtra village aces exam

Latest Question