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The first Quartile is 142 and Semi-Inter Quartile Range is 18, then the value of Median is: (a) 151 (b) 160 (c) 178 (d) None of these Correct answer is B explain how?
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The first Quartile is 142 and Semi-Inter Quartile Range is 18, then th...
Calculating Median using Quartiles and Semi-Inter Quartile Range
Given,
First Quartile (Q1) = 142
Semi-Inter Quartile Range (SIQR) = 18
To find the median, we need to use the formula:
Median = Q2
Where,
Q2 = Second Quartile
We know that,
Q1 = First Quartile
Q2 = Median
Q3 = Third Quartile
Formula to find Q3:
Q3 = Q1 + 2 × SIQR
Substituting the given values, we get:
Q3 = 142 + 2 × 18
Q3 = 178
Now, we have Q1, Q2, and Q3. Hence, we can find the median as follows:
Median = Q2
Median = (Q1 + Q3)/2
Median = (142 + 178)/2
Median = 160
Therefore, the value of Median is 160.
Hence, option (b) is the correct answer.
Given,
First Quartile (Q1) = 142
Semi-Inter Quartile Range (SIQR) = 18
To find the median, we need to use the formula:
Median = Q2
Where,
Q2 = Second Quartile
We know that,
Q1 = First Quartile
Q2 = Median
Q3 = Third Quartile
Formula to find Q3:
Q3 = Q1 + 2 × SIQR
Substituting the given values, we get:
Q3 = 142 + 2 × 18
Q3 = 178
Now, we have Q1, Q2, and Q3. Hence, we can find the median as follows:
Median = Q2
Median = (Q1 + Q3)/2
Median = (142 + 178)/2
Median = 160
Therefore, the value of Median is 160.
Hence, option (b) is the correct answer.
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The first Quartile is 142 and Semi-Inter Quartile Range is 18, then the value of Median is: (a) 151 (b) 160 (c) 178 (d) None of these Correct answer is B explain how?
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The first Quartile is 142 and Semi-Inter Quartile Range is 18, then the value of Median is: (a) 151 (b) 160 (c) 178 (d) None of these Correct answer is B explain how? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The first Quartile is 142 and Semi-Inter Quartile Range is 18, then the value of Median is: (a) 151 (b) 160 (c) 178 (d) None of these Correct answer is B explain how? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The first Quartile is 142 and Semi-Inter Quartile Range is 18, then the value of Median is: (a) 151 (b) 160 (c) 178 (d) None of these Correct answer is B explain how?.
The first Quartile is 142 and Semi-Inter Quartile Range is 18, then the value of Median is: (a) 151 (b) 160 (c) 178 (d) None of these Correct answer is B explain how? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The first Quartile is 142 and Semi-Inter Quartile Range is 18, then the value of Median is: (a) 151 (b) 160 (c) 178 (d) None of these Correct answer is B explain how? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The first Quartile is 142 and Semi-Inter Quartile Range is 18, then the value of Median is: (a) 151 (b) 160 (c) 178 (d) None of these Correct answer is B explain how?.
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