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The quartile deviation of daily wages (in Rs.) of 7 persons given below:
12, 7, 15, 10, 17, 17, 25 is
12, 7, 15, 10, 17, 17, 25 is
- a)14.5
- b)5
- c)9
- d)2.5
Correct answer is option 'D'. Can you explain this answer?
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The quartile deviation of daily wages (in Rs.) of 7 persons given belo...
The quartile deviation is a measure of dispersion used to determine the spread of data around the median. It is calculated by finding the difference between the upper and lower quartiles.
To find the quartiles, we first need to arrange the data in ascending order:
7, 10, 12, 15, 17, 17, 25
Finding the Median (Q2)
The median (Q2) is the middle value of the data set. In this case, we have 7 data points, so the median is the value at the (n+1)/2 position.
Median = (n+1)/2 = (7+1)/2 = 4th value = 15
Finding the Lower Quartile (Q1)
The lower quartile (Q1) is the median of the lower half of the data set. In this case, the lower half consists of the first 3 values.
Q1 = median of 7, 10, 12 = (7+10)/2 = 17/2 = 8.5
Finding the Upper Quartile (Q3)
The upper quartile (Q3) is the median of the upper half of the data set. In this case, the upper half consists of the last 3 values.
Q3 = median of 15, 17, 25 = (15+17)/2 = 32/2 = 16
Calculating the Quartile Deviation
The quartile deviation is calculated as the difference between Q3 and Q1.
Quartile Deviation = Q3 - Q1 = 16 - 8.5 = 7.5
Therefore, the correct answer is option D) 7.5.
To find the quartiles, we first need to arrange the data in ascending order:
7, 10, 12, 15, 17, 17, 25
Finding the Median (Q2)
The median (Q2) is the middle value of the data set. In this case, we have 7 data points, so the median is the value at the (n+1)/2 position.
Median = (n+1)/2 = (7+1)/2 = 4th value = 15
Finding the Lower Quartile (Q1)
The lower quartile (Q1) is the median of the lower half of the data set. In this case, the lower half consists of the first 3 values.
Q1 = median of 7, 10, 12 = (7+10)/2 = 17/2 = 8.5
Finding the Upper Quartile (Q3)
The upper quartile (Q3) is the median of the upper half of the data set. In this case, the upper half consists of the last 3 values.
Q3 = median of 15, 17, 25 = (15+17)/2 = 32/2 = 16
Calculating the Quartile Deviation
The quartile deviation is calculated as the difference between Q3 and Q1.
Quartile Deviation = Q3 - Q1 = 16 - 8.5 = 7.5
Therefore, the correct answer is option D) 7.5.
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The quartile deviation of daily wages (in Rs.) of 7 persons given below:12, 7, 15, 10, 17, 17, 25 isa)14.5b)5c)9d)2.5Correct answer is option 'D'. Can you explain this answer?
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The quartile deviation of daily wages (in Rs.) of 7 persons given below:12, 7, 15, 10, 17, 17, 25 isa)14.5b)5c)9d)2.5Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The quartile deviation of daily wages (in Rs.) of 7 persons given below:12, 7, 15, 10, 17, 17, 25 isa)14.5b)5c)9d)2.5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The quartile deviation of daily wages (in Rs.) of 7 persons given below:12, 7, 15, 10, 17, 17, 25 isa)14.5b)5c)9d)2.5Correct answer is option 'D'. Can you explain this answer?.
The quartile deviation of daily wages (in Rs.) of 7 persons given below:12, 7, 15, 10, 17, 17, 25 isa)14.5b)5c)9d)2.5Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The quartile deviation of daily wages (in Rs.) of 7 persons given below:12, 7, 15, 10, 17, 17, 25 isa)14.5b)5c)9d)2.5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The quartile deviation of daily wages (in Rs.) of 7 persons given below:12, 7, 15, 10, 17, 17, 25 isa)14.5b)5c)9d)2.5Correct answer is option 'D'. Can you explain this answer?.
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