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Observe the data and answer the questions that follow: 16, 15, 16, 16, 8, 15, 17 Which data value can be put in the data so that the mode remains the same? - Mathematics

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Question

Observe the data and answer the questions that follow:

16, 15, 16, 16, 8, 15, 17

Which data value can be put in the data so that the mode remains the same?

Sum

Solution

Given data; 16, 15, 16, 16, 8, 15, 17

Arranging the given data in ascending order, we have 8, 15, 15, 16, 16, 16, 17

As per the given data, 16 is the mode of data, since it has highest frequency, i.e. 3

Now, if 15 is added to the given data, mode will get changed to 15 and 16, whereas if any other number, i.e. 8, 16 or 17 is added, mode will remain same.

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Chapter 3: Data Handling - Exercise [Page 78]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 3 Data Handling
Exercise | Q 70. (a) | Page 78

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