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NDA 2016
Exam
NDA
Year
2016
Subject
Mathematics
Chapter
Statistics

NDA 2016 · Mathematics · Statistics

Consider the following statements: 1. The mean and median are equal...

Consider the following statements: 1. The mean and median are equal in symmetric distribution. 2. The range is the difference between the maximum value and the minimum value in the data. 3. The sum of the areas of the rectangles in the histogra is equal to the total area bounded by the frequency polygon and the horizontal axis. Which of the above statements are correct?

Options

  1. A1 and 2 only
  2. B2 and 3 only
  3. C1 and 3 only
  4. D1,2 and 3

Correct answer

D. 1,2 and 3

Step-by-step solution

 Mean = Median (in symmetric distribution ) Range =( Max. value − Min. value )\begin{aligned} & \text{ Mean }=\text{ Median (in symmetric distribution }) \\ & \text{ Range }=(\text{ Max. value }- \text{ Min. value }) \end{aligned} And sum of areas of rectangles in the histogram is always equal to the total area bounded by frequency polygon and the horizontal axis.
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