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The marks in a subject for 12 students are as follows: 31, 37, 35, 38, 42, 23, 17, 18, 35, 25, 35, 29 For the given data, find the median - Mathematics

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Question

The marks in a subject for 12 students are as follows:

31, 37, 35, 38, 42, 23, 17, 18, 35, 25, 35, 29

For the given data, find the median

Sum

Solution

Given data is 31, 37, 35, 38, 42, 23, 17, 18, 35, 25, 35, 29.

Rearranging the given data in ascending order,

17, 18, 23, 25, 29, 31, 35, 35, 35, 37, 38, 42

Here, n = 12 .....(Even)

Median = `("Value of"  (n/2)"th observation" + "Value of"  (n/2 + 1)"th observation")/2`

= `("Value of"  6"th observation" + "Value of"  7"th observation")/2`

= `(31 + 35)/2`

= `66/2`

= 33

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Chapter 3: Data Handling - Exercise [Page 76]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 3 Data Handling
Exercise | Q 54. (c) | Page 76

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