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The Q.D. of the daily wages (in Rs) of 7 persons given below: 12,7,15,10,17,19,25 is
- a)4.5
- b)9
- c)5
- d)14.5
Correct answer is option 'A'. Can you explain this answer?
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The Q.D. of the daily wages (in Rs) of 7 persons given below: 12,7,15,...
Q.D. of Daily Wages of 7 Persons
To find the Q.D. (Quartile Deviation) of the daily wages of 7 persons given below: 12, 7, 15, 10, 17, 19, 25, we need to follow the steps given below:
Step 1: Arrange the data in ascending order.
7, 10, 12, 15, 17, 19, 25
Step 2: Find the median or the second quartile (Q2) of the data.
Median of the data = (n + 1)/2-th value = (7 + 1)/2-th value = 4th value
Hence, median = 15
Step 3: Find the first quartile (Q1) of the data.
Q1 = (n + 1)/4-th value = (7 + 1)/4-th value = 2nd value
Hence, Q1 = 10
Step 4: Find the third quartile (Q3) of the data.
Q3 = 3(n + 1)/4-th value = 3(7 + 1)/4-th value = 6th value
Hence, Q3 = 19
Step 5: Calculate the Quartile Deviation (Q.D.) using the formula:
Q.D. = (Q3 - Q1)/2
Substituting the values of Q1 and Q3, we get:
Q.D. = (19 - 10)/2 = 4.5
Therefore, the Q.D. of the daily wages of 7 persons given is 4.5.
Note: Quartile deviation is a measure of dispersion that gives an idea about the spread of data around the median. It is calculated as half of the difference between the third and first quartiles.
To find the Q.D. (Quartile Deviation) of the daily wages of 7 persons given below: 12, 7, 15, 10, 17, 19, 25, we need to follow the steps given below:
Step 1: Arrange the data in ascending order.
7, 10, 12, 15, 17, 19, 25
Step 2: Find the median or the second quartile (Q2) of the data.
Median of the data = (n + 1)/2-th value = (7 + 1)/2-th value = 4th value
Hence, median = 15
Step 3: Find the first quartile (Q1) of the data.
Q1 = (n + 1)/4-th value = (7 + 1)/4-th value = 2nd value
Hence, Q1 = 10
Step 4: Find the third quartile (Q3) of the data.
Q3 = 3(n + 1)/4-th value = 3(7 + 1)/4-th value = 6th value
Hence, Q3 = 19
Step 5: Calculate the Quartile Deviation (Q.D.) using the formula:
Q.D. = (Q3 - Q1)/2
Substituting the values of Q1 and Q3, we get:
Q.D. = (19 - 10)/2 = 4.5
Therefore, the Q.D. of the daily wages of 7 persons given is 4.5.
Note: Quartile deviation is a measure of dispersion that gives an idea about the spread of data around the median. It is calculated as half of the difference between the third and first quartiles.
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Community Answer
The Q.D. of the daily wages (in Rs) of 7 persons given below: 12,7,15,...
Soln= assenting order 7,10,12,15,17,19,25
so taking mid point , 15
we know ,Q.D = Q3- Q1/2
= 19 - 7/2
= 4.5
so taking mid point , 15
we know ,Q.D = Q3- Q1/2
= 19 - 7/2
= 4.5
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The Q.D. of the daily wages (in Rs) of 7 persons given below: 12,7,15,10,17,19,25 isa)4.5b)9c)5d)14.5Correct answer is option 'A'. Can you explain this answer?
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The Q.D. of the daily wages (in Rs) of 7 persons given below: 12,7,15,10,17,19,25 isa)4.5b)9c)5d)14.5Correct answer is option 'A'. 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 Q.D. of the daily wages (in Rs) of 7 persons given below: 12,7,15,10,17,19,25 isa)4.5b)9c)5d)14.5Correct answer is option 'A'. 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 Q.D. of the daily wages (in Rs) of 7 persons given below: 12,7,15,10,17,19,25 isa)4.5b)9c)5d)14.5Correct answer is option 'A'. Can you explain this answer?.
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