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NDA 2022
Exam
NDA
Year
2022
Subject
Mathematics
Chapter
Statistics

NDA 2022 · Mathematics · Statistics

Consider the following grouped frequency distribution : Class 0-10...

Consider the following grouped frequency distribution :
Class0-1010-2020-3030-4040-5050-60
Frequency124643
What is the mean deviation about the mean?

Options

  1. A10.1510.15
  2. B10.6510.65
  3. C11.1511.15
  4. D11.6511.65

Correct answer

B. 10.6510.65

Step-by-step solution

 Mean =∑xifi∑fi=69020=34.5\text{ Mean }=\frac{\sum x_i f_i}{\sum f_i}=\frac{690}{20}=34.5 Mean deviation about mean =∑∣xi−xˉ∣fi∑fi=21320=10.65=\frac{\sum\left|x_i-\bar{x}\right| f_i}{\sum f_i}=\frac{213}{20}=10.65
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