Assertion (A): The number of goals scored by a football team in a series of matches are 3, 1, 0, 7, 5, 3, 3, 4, 1, 2, 0, 2 The median of the data is 2.5. Reason (R): Median of an ungrouped data is the variate which has maximum frequency. 1. Assertion (A) is true, but Reason (R) is false. 2. Assertion (A) is false, but Reason (R) is true. 3. Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A). 4. Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).

Given goals: 3, 1, 0, 7, 5, 3, 3, 4, 1, 2, 0, 2 Arrange the data in ascending order: 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 5, 7 There are 12 values (even). By formula, ∴ Assertion (A) is true. The median is a measure of central tendency that splits your ordered data into two equal parts—half the observations lie below it, and half lie above it. ∴ Reason (R) is false. ∴ Assertion (A) is true, but Reason (R) is false. Hence, option 1 is the correct option.

Mathematics

Assertion (A): The number of goals scored by a football team in a series of matches are 3, 1, 0, 7, 5, 3, 3, 4, 1, 2, 0, 2
The median of the data is 2.5.
Reason (R): Median of an ungrouped data is the variate which has maximum frequency.
Assertion (A) is true, but Reason (R) is false.
Assertion (A) is false, but Reason (R) is true.
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).

Measures of Central Tendency

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Mathematics

Measures of Central Tendency

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