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question 4 for a variable, if its mean = median = mode, what distribution this variable follows? normal distribution positively skewed distribution negatively skewed distribution bimodal distribution
In a normal distribution, the data is symmetrically distributed around the mean. This symmetry causes the mean, median, and mode to coincide at the center of the distribution. In a positively - skewed distribution, the mean is pulled to the right of the median and mode. In a negatively - skewed distribution, the mean is pulled to the left of the median and mode. A bimodal distribution has two modes, so it cannot have mean = median = mode.
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Normal distribution