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In an asymmetrical distribution, if the mean and median of the distribution are 270 and 220 respectively, then the mode of the data is
  • a)
    120
  • b)
    220
  • c)
    280
  • d)
    370
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In an asymmetrical distribution, if the mean and median of the distrib...
Mean = 270 and Median = 220;
We know the formula∶
3 × Median = Mode + 2 × Mean
∴ Mode = 3 × Median - 2 × Mean
⇒ Mode = 3 × 220 - 2 × 270
⇒ Mode = 660 - 540 = 120
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Most Upvoted Answer
In an asymmetrical distribution, if the mean and median of the distrib...


Explanation:

Mean, Median, and Mode:
- Mean is the average of all the numbers in the data set.
- Median is the middle value of the data when arranged in ascending or descending order.
- Mode is the number that appears most frequently in the data set.

Given Information:
- Mean = 270
- Median = 220

Understanding Asymmetrical Distribution:
- In an asymmetrical distribution, the mean, median, and mode are not equal, and the data is skewed towards one side.
- Since the mean and median are given, we can infer that the distribution is asymmetrical.

Finding the Mode:
- Since the mode is the most frequently occurring number, it is not given in the question.
- To find the mode, we can analyze the given mean and median values.
- In an asymmetrical distribution, the mode is generally closer to the mean than the median.
- If the median is less than the mean, the mode is likely to be less than the mean as well.

Conclusion:
- Given that the median is 220 and the mean is 270, it is reasonable to assume that the mode is less than the mean.
- Therefore, the mode would be closer to 220 than 270, making option 'A) 120' the correct answer.
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In an asymmetrical distribution, if the mean and median of the distribution are 270 and 220 respectively, then the mode of the data isa)120b)220c)280d)370Correct answer is option 'A'. Can you explain this answer?
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