0

Guest

Courses New

If the mean deviation about the median of the numbers a, 2a, …, 50a is 50, then |a| equals (1) 3 (2) 4 (3) 5 (4) 2

If the mean deviation about the median of the numbers a, 2a, …, 50a is 50, then |a| equals
(1) 3
(2) 4
(3) 5
(4) 2

Grade:12

1 Answers

Latika Leekha
askIITians Faculty 165 Points
9 years ago
The given numbers area, 2a, …, 50a.
since the numer of terms is even, hence the median is given by
(25 + 26)/ 2 . a = 25.5 a
hence, the mean deviation about median is gievn by
2 ( | 0.5 + 1.5 + 2.5 + ….. + 24.5 |) / 50 . |a| = 50.
Hence 625 |a| = 2500
This gives |a| = 2500/625 = 4
Hence, |a| = 4.
Thanks & Regards
Latika Leekha
askIITians Faculty

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More