Assertion (A) : If the median of the observations 11, 12, 14, (x - 2), (x + 4), (x + 9), 32, 38 and 47, arranged in ascending order is 24, then the value of x is 20. Reason (R) : For an ungrouped data, containing n observations, the median is given by Median = th observation, where n is odd. 1. A is true, R is false 2. A is false, R is true 3. Both A and R are true 4. Both A and R are false

Question

KnowledgeBoat · Accepted Answer

We know that, For an ungrouped data, containing n observations, the median is given by Median = th observation, where n is odd. ∴ Reason (R) is false. Arranging the given data in ascending order, 11, 12, 14, (x - 2), (x + 4), (x + 9), 32, 38, 47 Given, Median = 24 Here, n = 9, which is odd. ⇒ 24 = x + 4 ⇒ x = 24 - 4 ⇒ x = 20. ∴ Assertion (A) is true. Hence, Option 1 is the correct option.

Class	Frequency
0 - 10	2
10 - 20	4
20 - 30	3
30 - 40	5

Mathematics

Measures of Central Tendency

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The median class for the given distribution is :
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Mathematics

Measures of Central Tendency

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If the difference between the mode and median of a certain data is 24, then the difference between median and mean is :
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36

The median class for the given distribution is :
Class Frequency
0 - 10 2
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30 - 40 5
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