This question was previously asked in

UGC Paper 2: Commerce 22nd Dec 2018

Option 3 : Standard deviation is the sole parameter of the distribution

Official Paper 1: Held on 24 Sep 2020 Shift 1

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50 Questions
100 Marks
60 Mins

The **normal distribution** is the most important probability distribution in statistics because it fits many natural phenomena. For example, heights, blood pressure, measurement error, and IQ scores follow the normal distribution. It is also known as the Gaussian distribution and the bell curve.

**Common Properties for All Forms of the Normal Distribution**

- Despite the different shapes, all forms of normal distribution have the following characteristic properties.
- They’re all symmetric.
- The normal distribution is a
**continuous**probability distribution. - The normal distribution cannot model skewed distributions.
- The
**mean, median, and mode are all equal.** - Half of the population is less than the mean and half is greater than the mean.
- The Empirical Rule allows you to determine the proportion of values that fall within certain distances from the mean.
- A normal distribution curve is
**unimodal (it has only one mode).** - The normal distribution has two paramet
**ers**, the mean and standard deviation.

**Thus, option 3 is not the correct property of normal distribution.**