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Assertion (A): When class intervals are 10 - 20, 20 - 30, 30 - 40 etc, 30 is included in 30 - 40 class. Reason (R): In 20 - 30 all values from 20 - 29 are included. - Mathematics

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Question

Assertion (A): When class intervals are 10 - 20, 20 - 30, 30 - 40 etc, 30 is included in 30 - 40 class.

Reason (R): In 20 - 30 all values from 20 - 29 are included.

Options

  • Both A and R are true and R is the correct reason for A.

  • Both A and R are true but R is the incorrect reason for A.

  • A is true but R is false.

  • A is false but R is true.

MCQ
Assertion and Reasoning
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Solution

Both A and R are true and R is the correct reason for A.

Explanation:

In a continuous frequency distribution, the upper limit of one class interval is excluded from that class but included in the next. As a result, in the class intervals 10 - 20, 20 - 30, and 30 - 40, the value 30 belongs to the 30 - 40 class rather than 20 - 30. This is because in the 20 - 30 interval, only values between 20 and 29.9 are counted.

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Chapter 15: Statistics - MULTIPLE CHOICE QUESTIONS [Page 190]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 15 Statistics
MULTIPLE CHOICE QUESTIONS | Q 17. | Page 190
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