Assertion (A) : The third quartile of the data 1, 20, 3, 15, 6, 8, 13, 5, 21, 23, 17, 10, 9, 12, 18, 21 is 18 Reason (R) : For an ungrouped data, containing n observations, the upper quartile is given by, Q3 = th observation, if n is even. 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

Observations arranging in ascending order = 1, 3, 5, 6, 8, 9, 10, 12, 13, 15, 17, 18, 20, 21, 21, 23 Here, n = 16 We know that, If the variates are arranged in ascending order, then the observation lying midway between the median and the upper extreme is called the Upper quartile or Third quartile. Q3 = th observation, if n is even. = = 12 th observation = 18. ∴ Assertion (A) is true. For an ungrouped data, containing n observations, upper quartile is given by, Q3 = th observation, if n is even. ∴ Reason (R) is false. 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

Related Questions

If the difference between the mode and median of a certain data is 24, then the difference between median and mean is :
8
12
24
36

The median class for the given distribution is :
Class Frequency
0 - 10 2
10 - 20 4
20 - 30 3
30 - 40 5
0 - 10
10 - 20
20 - 30
30 - 40

Mathematics

Measures of Central Tendency

Related Questions

If the difference between the mode and median of a certain data is 24, then the difference between median and mean is :8122436

The median class for the given distribution is :ClassFrequency0 - 10210 - 20420 - 30330 - 4050 - 1010 - 2020 - 3030 - 40

If the difference between the mode and median of a certain data is 24, then the difference between median and mean is :
8
12
24
36

The median class for the given distribution is :
Class Frequency
0 - 10 2
10 - 20 4
20 - 30 3
30 - 40 5
0 - 10
10 - 20
20 - 30
30 - 40