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The Quartile Deviation of the daily wages (in Rs) of 7 persons given below :
12, 7, 15, 10, 17, 19, 25 is
12, 7, 15, 10, 17, 19, 25 is
- a)14.5
- b)5
- c)9
- d)4.5
Correct answer is option 'D'. Can you explain this answer?
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The Quartile Deviation of the daily wages (in Rs) of 7 persons given b...
Calculating Quartile Deviation:
The quartile deviation is a measure of statistical dispersion, which indicates how spread out the values in a data set are around the mean or median. It is calculated as half of the difference between the third quartile (Q3) and the first quartile (Q1).
Step 1: Find the Quartiles
1. Arrange the data in ascending order: 7, 10, 12, 15, 17, 19, 25.
2. Calculate the first quartile (Q1) and the third quartile (Q3).
- Q1 = (n+1)/4-th value = (7+1)/4-th value = 2nd value = 10
- Q3 = 3(n+1)/4-th value = 3(7+1)/4-th value = 6th value = 19
Step 2: Calculate Quartile Deviation
Quartile Deviation = (Q3 - Q1)/2 = (19 - 10)/2 = 4.5
Therefore, the quartile deviation of the daily wages of the 7 persons is 4.5 Rs.
So, the correct answer is option 'D' - 4.5.
The quartile deviation is a measure of statistical dispersion, which indicates how spread out the values in a data set are around the mean or median. It is calculated as half of the difference between the third quartile (Q3) and the first quartile (Q1).
Step 1: Find the Quartiles
1. Arrange the data in ascending order: 7, 10, 12, 15, 17, 19, 25.
2. Calculate the first quartile (Q1) and the third quartile (Q3).
- Q1 = (n+1)/4-th value = (7+1)/4-th value = 2nd value = 10
- Q3 = 3(n+1)/4-th value = 3(7+1)/4-th value = 6th value = 19
Step 2: Calculate Quartile Deviation
Quartile Deviation = (Q3 - Q1)/2 = (19 - 10)/2 = 4.5
Therefore, the quartile deviation of the daily wages of the 7 persons is 4.5 Rs.
So, the correct answer is option 'D' - 4.5.
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The Quartile Deviation of the daily wages (in Rs) of 7 persons given below :12, 7, 15, 10, 17, 19, 25 isa)14.5b)5c)9d)4.5Correct answer is option 'D'. Can you explain this answer?
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The Quartile Deviation of the daily wages (in Rs) of 7 persons given below :12, 7, 15, 10, 17, 19, 25 isa)14.5b)5c)9d)4.5Correct 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 the daily wages (in Rs) of 7 persons given below :12, 7, 15, 10, 17, 19, 25 isa)14.5b)5c)9d)4.5Correct 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 the daily wages (in Rs) of 7 persons given below :12, 7, 15, 10, 17, 19, 25 isa)14.5b)5c)9d)4.5Correct answer is option 'D'. Can you explain this answer?.
The Quartile Deviation of the daily wages (in Rs) of 7 persons given below :12, 7, 15, 10, 17, 19, 25 isa)14.5b)5c)9d)4.5Correct 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 the daily wages (in Rs) of 7 persons given below :12, 7, 15, 10, 17, 19, 25 isa)14.5b)5c)9d)4.5Correct 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 the daily wages (in Rs) of 7 persons given below :12, 7, 15, 10, 17, 19, 25 isa)14.5b)5c)9d)4.5Correct answer is option 'D'. Can you explain this answer?.
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