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Question: Select the correct statement(s) on the standard normal distribution curve.
I. The curve is sinusoidal (of the shape of sine curve).
II. It is unimodal.
III. The mean, median and mode are equal.
IV. Area under the curve is assumed as 1.


A ) II and IV only
B ) III and IV only
C ) II, III and IV only
D ) all are correct

Steps to derive

1 The normal distribution curve is not sinusoidal. It is bell shaped and never touches the x - axis.

2 The cuvre has only one mode, so it is unimodal.

3 Mean, median and mode are equal.

4 Area under the curve is assumed as 1.

5 So, statements II, III and IV only are correct.



Hence the right answer is Option C

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