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In symmetrical distribution, mean, median, and mode are__________
- a)Equal
- b)Different
- c)Zero
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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In symmetrical distribution, mean, median, and mode are__________a)Equ...
In a perfectly 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 median represents the middle value when the dataset is arranged in ascending or descending order. The mode represents the value or values that occur most frequently in the dataset.
In a perfectly symmetrical distribution, the balance of the data on both sides of the mode implies that the mean and median will be located at the center of the distribution, which is also where the mode will be located.
Therefore, in a symmetrical distribution, the mean, median, and mode are equal. They all have the same value, reflecting the central tendency and balance of the data points in the distribution.
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