Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Find the mean deviation about the mean for the data. (1) 4,7,8,9,10,12,13,17

1. Find the mean deviation about the mean for the data.

    \small 4,7,8,9,10,12,13,17

Answers (1)

best_answer

Mean (\overline{x}) of the given data:

\overline{x} = \frac{1}{8}\sum_{i=1}^{8}x_i = \frac{4+ 7+ 8+ 9+ 10+ 12+ 13+ 17}{8} = 10

The respective absolute values of the deviations from mean, |x_i - \overline{x}| are

6, 3, 2, 1, 0, 2, 3, 7

\therefore  \sum_{i=1}^{8}|x_i - 10| = 24

\therefore M.D.(\overline{x}) = \frac{1}{n}\sum_{i=1}^{n}|x_i - \overline{x}|

= \frac{24}{8} = 3

Hence, the mean deviation about the mean is 3.

Posted by

HARSH KANKARIA

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 12 Physics exam 2025 ‘moderate’; mix of easy, challenging questions, students’ reaction
anam-khan

Odisha Board Exams 2025: 11 students on way to examination centre injured as vehicle overturns
anam-khan

CBSE Board Exam 2025 Live: Class 12 physics paper over; analysis, passing marks, latest updates

Latest Question