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In a diagnostic test in mathematics given to students, the following marks (out of 100) are recorded: 46, 52, 48, 11, 41, 62, 54, 53, 96, 40, 98, 44 Which ‘average’ will be a good representative of

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Question

In a diagnostic test in mathematics given to students, the following marks (out of 100) are recorded:

46, 52, 48, 11, 41, 62, 54, 53, 96, 40, 98, 44

Which ‘average’ will be a good representative of the above data and why?

Sum
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Solution

Consider the data set:

46, 52, 48, 11, 41, 62, 54, 53, 96, 40, 98, 44

Median will be a good representative of the given data. Because:

  1. Each value occurs once.
  2. The data is influenced by extreme values.
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Chapter 14: Statistics & Probability - Exercise 14.2 [Page 137]

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NCERT Exemplar Mathematics Exemplar [English] Class 9
Chapter 14 Statistics & Probability
Exercise 14.2 | Q 2. | Page 137

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