Mathematics
Assertion (A) : The first quartile of the observations 15, 14, 21, 11, 19, 10, 18 is 10.
Reason (R) : For an ungrouped data, containing n observations, lower quartile is given by
Q1 = th observation, if n is odd.
A is true, R is false
A is false, R is true
Both A and R are true
Both A and R are false
Measures of Central Tendency
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Answer
Observations arranging in ascending order = 10, 11, 14, 15, 18, 19, 21
Here, n = 7
We know that,
If the variates are arranged in ascending order, then the observation lying midway between the lower extreme and the median is called the Lower quartile or First quartile.
Q1 = th observation, if n is odd.
= = 2.
∴ Assertion (A) is false.
For an ungrouped data, containing n observations, lower quartile is given by
Q1 = th observation, if n is odd.
∴ Reason (R) is false.
Hence, Option 4 is the correct option.
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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
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.
A is true, R is false
A is false, R is true
Both A and R are true
Both A and R are false
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.
A is true, R is false
A is false, R is true
Both A and R are true
Both A and R are false