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Mean, Median and Mode may be the same for some data.

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Question

Mean, Median and Mode may be the same for some data.

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is True.

Explanation:

Let us consider the data 4, 3, 4, 3, 4, 6, 4

Mean of the given data = `(4 + 3 + 4 + 3 + 4 + 6 + 4)/7` = 4

Mode is the observation that occurs most frequently in the data i.e. 4.

When the given data is arranged in ascending (or descending) order, then the middle most observation is the median of the data.

Arranging the given data, 3, 3, 4, 4, 4, 4, and 6.

So, the median is 4.

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Chapter 3: Data Handling - Exercise [Page 75]

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NCERT Exemplar Mathematics Exemplar Class 7
Chapter 3 Data Handling
Exercise | Q 39. | Page 75

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