Question

1. state all the properties of standard deviation.

See the attachment plz​

Answer 1

Answer:

Important Properties of Standard Deviation

1. It cannot be negative.

2. It is only used to measure spread or dispersion around the mean of a data set.

3. It shows how much variation or dispersion exists from the average value.

4. It is sensitive to outliers. A single outlier can raise σ and in turn, distort the picture of spread.

5. For data with almost the same mean, the greater the spread, the greater the standard deviation.

6. Standard deviation can be used in conjunction with the mean in order to calculate data intervals when analyzing normally distributed data.

Answer 2

The properties of standard deviation are as follows:

• Standard deviation is used to compare the dispersion of data sets that have same mean.
• Standard deviation is always positive and can never be negative and it is highly sensitive to extreme values.
• Standard deviated is affected by extreme value and in turn it is increased in value which can lead to the misrepresentation of the dispersion.
• When all the values are same and equal then the value of standard deviation becomes zero.