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Why do the mean, median, and mode coincide at 0 on the normal curve
Solution
The shape of the normal curve is bell shaped (graphically )
The curve has a single peak thus it is unimodel. The mean of a normally distributed population
lies at the centre of its curve. Because of the symmetry, the median (Positional average) a mode
(concentration of frequency) also lies at the centre. Thus in normal distribution mean, median
and mode all coincide at zero.

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Why do the mean, median, and mode coincide at 0 on the normal curve.pdf

  • 1. Why do the mean, median, and mode coincide at 0 on the normal curve Solution The shape of the normal curve is bell shaped (graphically ) The curve has a single peak thus it is unimodel. The mean of a normally distributed population lies at the centre of its curve. Because of the symmetry, the median (Positional average) a mode (concentration of frequency) also lies at the centre. Thus in normal distribution mean, median and mode all coincide at zero.