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The median of first five natural numbers be 3. If 6 is included. then what is the median, Also find the difference of two medians respectively?
- a)3.5, 0.5
- b)4, 1
- c)4.5, 1.5
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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The median of first five natural numbers be 3. If 6 is included. then ...
Question:
The median of the first five natural numbers is 3. If 6 is included, what is the median? Also, find the difference between the two medians.
Answer:
To find the median, we need to arrange the numbers in ascending order and then locate the middle value.
Arranging the first five natural numbers in ascending order:
1, 2, 3, 4, 5
Calculating the median:
Since we have an odd number of values (5), the median is simply the middle value, which is 3.
Including the number 6:
The new list of numbers is: 1, 2, 3, 4, 5, 6
Arranging the six numbers in ascending order:
1, 2, 3, 4, 5, 6
Calculating the new median:
Now we have an even number of values (6), so the median is the average of the two middle values. In this case, the two middle values are 3 and 4. Therefore, the median is (3 + 4) / 2 = 3.5.
Calculating the difference between the two medians:
The difference between the two medians is the new median (3.5) minus the original median (3), which is 3.5 - 3 = 0.5.
Therefore, the median of the first five natural numbers is 3, and when the number 6 is included, the new median is 3.5. The difference between the two medians is 0.5.
Hence, the correct answer is option A) 3.5, 0.5.
The median of the first five natural numbers is 3. If 6 is included, what is the median? Also, find the difference between the two medians.
Answer:
To find the median, we need to arrange the numbers in ascending order and then locate the middle value.
Arranging the first five natural numbers in ascending order:
1, 2, 3, 4, 5
Calculating the median:
Since we have an odd number of values (5), the median is simply the middle value, which is 3.
Including the number 6:
The new list of numbers is: 1, 2, 3, 4, 5, 6
Arranging the six numbers in ascending order:
1, 2, 3, 4, 5, 6
Calculating the new median:
Now we have an even number of values (6), so the median is the average of the two middle values. In this case, the two middle values are 3 and 4. Therefore, the median is (3 + 4) / 2 = 3.5.
Calculating the difference between the two medians:
The difference between the two medians is the new median (3.5) minus the original median (3), which is 3.5 - 3 = 0.5.
Therefore, the median of the first five natural numbers is 3, and when the number 6 is included, the new median is 3.5. The difference between the two medians is 0.5.
Hence, the correct answer is option A) 3.5, 0.5.
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Community Answer
The median of first five natural numbers be 3. If 6 is included. then ...
First 5 natural numbers are 1, 2, 3, 4, 5 n = 5 (odd)
∴ Median = n +1/2 th = 5 + 1/2 th = 3rd term
⇒ Median = 3
1, 2, 3, 4, 5, 6
Median = 1/2 (3 + 4) = 7/2 = 3.5
Difference = 3 .5 - 3 = 0.5
∴ Median = n +1/2 th = 5 + 1/2 th = 3rd term
⇒ Median = 3
1, 2, 3, 4, 5, 6
Median = 1/2 (3 + 4) = 7/2 = 3.5
Difference = 3 .5 - 3 = 0.5
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The median of first five natural numbers be 3. If 6 is included. then what is the median, Also find the difference of two medians respectively?a)3.5, 0.5b)4, 1c)4.5, 1.5d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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