# What is standard deviation and its merits and demerits?

## What is standard deviation and its merits and demerits?

It is rigidly defined and free from any ambiguity. **Its** calculation is based on all the observations of a series and it cannot be correctly calculated ignoring any item of a series. It strictly follows the algebraic principles, and it never ignores the + and – signs like the mean **deviation**.

## What are the advantages of mean?

Arithmetic **mean** is simple to understand and easy to calculate. It is rigidly defined. It is suitable for further algebraic treatment. It is least affected fluctuation of sampling.

## What is meant by mean deviation and state its characteristics?

**Mean deviation** is the arithmetic average of the deviations of all the values taken from some average value (**mean**, median, mode) of the series, ignoring signs ( + or - ) of deviations.

## What are the advantages of mean deviation?

**Merits of Mean Deviation**:

- It is easy to understand
**mean Deviation**. **Mean Deviation**is less affected by extreme value than the Range.**Mean deviation**is based on all the items of the series. It is therefore, more representative than the Range or Quartile**Deviation**.- It is very simple and easy measure of dispersion.

## How do you find the sample mean for grouped data?

To **calculate** the **mean** of **grouped data**, the first step is to **determine** the midpoint (also called a class mark) of each interval, or class. These midpoints must then be multiplied by the frequencies of the corresponding classes. The sum of the products divided by the total number of values will be the value of the **mean**.

## How do you solve for variance?

**How to Calculate Variance**

**Find**the mean of the data set. Add all data values and divide by the sample size n.**Find**the squared difference from the mean for each data value. Subtract the mean from each data value and square the result.**Find**the sum of all the squared differences. ...**Calculate**the**variance**.

#### Read also

- Where is the SD button on a calculator?
- What does a high standard deviation mean in statistics?
- What is standard deviation above the mean?
- What is the symbol for standard deviation called?
- How do you calculate two standard deviations above the mean in Excel?
- How do you find the standard deviation of X?
- How do you type the standard deviation symbol?
- What is Z in standard deviation?
- How do standard deviations relate to z-scores?
- What weight is 1 stick of butter?

#### You will be interested

- What is the mean and SD for a given set of z-scores?
- What does stick handling mean?
- What is the meaning of stick figure?
- Are stick foundations good?
- How do you find quartiles from standard deviation?
- What is a shadow stick used for makeup?
- How is a curtain wall attached?
- How does a stick insect camouflage?
- How long do the reeds last in a diffuser?
- What do you call a horse on a stick?