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A symmetrical distribution has mean equal to 4. Its mode will be______.
- a)Equal to 4
- b)Less than 4
- c)Greater than 4
- d)Not equal to 4
Correct answer is option 'A'. Can you explain this answer?
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A symmetrical distribution has mean equal to 4. Its mode will be______...
Meaning of Symmetrical Distribution:
Symmetrical distribution refers to a type of distribution where the data is evenly spread around the central point, which is the mean. In a symmetrical distribution, the mean, median, and mode are all equal.
Relationship between Mean and Mode in Symmetrical Distribution:
In a symmetrical distribution with a mean of 4, the mode will also be equal to 4. This is because in a symmetrical distribution, the data is evenly distributed around the mean, leading to the highest frequency of data points occurring at the mean value. Therefore, in this case, the mode will be equal to the mean, which is 4.
Conclusion:
In a symmetrical distribution with a mean of 4, the mode will be equal to 4. This relationship holds true in symmetrical distributions where the data is evenly spread around the mean. Therefore, the correct answer to the question is option 'A' - Equal to 4.
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A symmetrical distribution has mean equal to 4. Its mode will be______...
In a symmetrical distribution, the data is evenly distributed around the central value, resulting in a mirror image when the distribution is folded along its center. The mean, median, and mode are all equal in a perfectly symmetrical distribution.
Given that the mean is equal to 4 in this case, it implies that the values on both sides of the distribution are balanced and cancel each other out when calculating the mean. Therefore, the median will also be equal to 4 since it represents the center point that divides the distribution into two equal halves.
In a symmetrical distribution, there is no skewness or bias towards either side. Each value has an equal chance of being the most frequently occurring value, which is the mode. Since the distribution is symmetrical and the mean is 4, the mode will also be equal to 4.
In summary, in a symmetrical distribution with a mean equal to 4, the mode will be equal to 4.
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A symmetrical distribution has mean equal to 4. Its mode will be______.a)Equal to 4b)Less than 4c)Greater than 4d)Not equal to 4Correct answer is option 'A'. Can you explain this answer?
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