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In a symmetrical distribution, mean is ____________ mode.
  • a)
    Equal to
  • b)
    Less than
  • c)
    Greater than
  • d)
    Not equal to
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
In a symmetrical distribution, mean is ____________ mode.a)Equal tob)L...
In a symmetrical distribution, the data points are evenly distributed around a central value, resulting in a mirror image when the distribution is folded along its center. This means that the left and right sides of the distribution are symmetrically balanced.
Given this symmetry, the mean, median, and mode will all have the same value in a perfectly symmetrical distribution.
The mean represents the average value of the dataset, calculated by summing all the values and dividing by the total number of values. The mode represents the most frequently occurring value in the dataset.
Since a symmetrical distribution has equal frequencies on both sides of the mode, the mode will be the value that occurs most often and therefore represents the highest peak in the distribution.
In a symmetrical distribution, the balance of the data on both sides of the mode implies that the mean will be the same as the mode.
Therefore, in a symmetrical distribution, the mean is equal to the mode.
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In a symmetrical distribution, mean is ____________ mode.a)Equal tob)Less thanc)Greater thand)Not equal toCorrect answer is option 'A'. Can you explain this answer?
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