Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Can someone explain If the mean deviation of the numbers 1, 1+d, ..., 1+100 d from their mean is 255, then a value of d is :

If the mean deviation of the numbers 1, 1+d, ..., 1+100 d from their mean is 255, then a value of d is :

  • Option 1)

    10.1

  • Option 2)

    20.2

  • Option 3)

    10

  • Option 4)

    5.05

     

 

Answers (1)

best_answer

As we learnt in 

Mean Deviation -

If x1, x2, ...xn are n observations then the mean deviation from the point A is given by :

\frac{1}{n}\sum \left | x_{i}-A \right |

-

 

mean=\frac{1+1+d+1+2d+----------1+100d}{101}=1+50d

Mean deviation

\Rightarrow \frac{1}{101}\sum_{r=0}^{100}\left | (I+rd) -(I+50d)\right |

\Rightarrow\frac{1}{101}\times 2d\times\frac{50\times51}{2}=255

d=10.1

 


Option 1)

10.1

This is correct option

Option 2)

20.2

This is incorrect option

Option 3)

10

This is incorrect option

Option 4)

5.05

 

This is incorrect option

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 Maths 2025: Five tips to score high marks in ‘toughest’ subject; most important chapters
anam-khan

JEE Main 2025 exam city intimation slip for session 1 soon at jeemain.nta.nic.in
anam-khan

Focus on modern physics, formulas to solve tricky problems; 5 tips to tackle JEE Main physics 2025

Latest Question