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Median is one of the observations in the data if number of observations is ______. - Mathematics

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Question

Median is one of the observations in the data if number of observations is ______.

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Solution

Median is one of the observations in the data if number of observations is odd.

Explanation:

The median is the middle value in a set of data when the data is arranged in ascending or descending order.

  • If the number of observations is odd, the median is the middle number and is one of the actual data values.

  • If the number of observations is even, the median is the average of the two middle values, and may not be one of the observations.

Example (odd number of observations):

Data: 3, 5, 7

Median = 5  ...(The middle value)

Example (even number of observations):

Data: 3, 5, 7, 9

Median = `(5 + 7)/ 2 = 6`  ...(Not an actual observation)

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Chapter 3: Data Handling - Exercise [Page 74]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 3 Data Handling
Exercise | Q 30. | Page 74
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