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The range of the data 2, –5, 4, 3, 7, 6 would change if 2 was subtracted from each value in the data. - Mathematics

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Question

The range of the data 2, –5, 4, 3, 7, 6 would change if 2 was subtracted from each value in the data.

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is False.

Explanation:

Range before subtraction by 2 = Highest observation – Lowest observation

= 7 – (–5)

= 7 + 5

= 12

Data after subtract by 2

= 2 – 2, –5 – 2, 4 – 2, 3 – 2, 7 – 2, 6 – 2, i.e. 0, –7, 2, 1, 5, 4

Range = Highest observation – Lowest observation

= 5 – (–7)

= 5 + 7

= 12

So, the range is same.

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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 48. | Page 76
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