# What are the measures of central tendency and variability?

## What are the measures of central tendency and variability?

Measures of central tendency give you the average for each response. Measures of variability show you the spread or dispersion of your dataset….Your data can be:

• without any mode.
• unimodal, with one mode,
• bimodal, with two modes,
• trimodal, with three modes, or.
• multimodal, with four or more modes.

How do you calculate variability of data?

Measures of Variability: Variance

1. Find the mean of the data set.
2. Subtract the mean from each value in the data set.
3. Now square each of the values so that you now have all positive values.
4. Finally, divide the sum of the squares by the total number of values in the set to find the variance.

What are two common measures of variability?

The most common measures of variability are the range, the interquartile range (IQR), variance, and standard deviation.

### What is the simplest measure of variability?

The range
The range is the simplest measure of variability to compute. The standard deviation can be an effective tool for teachers.

What are the different measures of variability?

Measures of Variability: Range, Interquartile Range, Variance, and Standard Deviation.

What are the characteristics of a good measure of central tendency?

Explanation:

• it should be Well defined and rigid.
• it should be easy to understand and calculate.
• it should be based on all the observations of the data.
• it should be suitable for further algebraic operations.
• it should be a stable measure.

## What is the most important measure of central tendency?

the mean
The most frequently used measure of central tendency is the mean. The mean, or more formally, the arithmetic mean, is simply the average of the group.

What are the 3 measures of variability?

Measures of variability

• Range: the difference between the highest and lowest values.
• Interquartile range: the range of the middle half of a distribution.
• Standard deviation: average distance from the mean.
• Variance: average of squared distances from the mean.

What is the most frequently used measure of variability?

the standard deviation
Consequently, the standard deviation is the most widely used measure of variability.

### What are the three measures of central tendency?

A measure of central tendency (also referred to as measures of centre or central location) is a summary measure that attempts to describe a whole set of data with a single value that represents the middle or centre of its distribution. There are three main measures of central tendency: the mode, the median and the mean.

What are the most common measures of central tendency?

The most common measures of central tendency are the arithmetic mean, the median and the mode. A central tendency can be calculated for either a finite set of values or for a theoretical distribution, such as the normal distribution.

What is the measurement of central tendency?

In statistics, a central tendency (or measure of central tendency) is a central or typical value for a probability distribution. It may also be called a center or location of the distribution. Colloquially, measures of central tendency are often called averages.

## What is the best measure of central tendency for nominal data?

The mode is the least used of the measures of central tendency and can only be used when dealing with nominal data. For this reason, the mode will be the best measure of central tendency (as it is the only one appropriate to use) when dealing with nominal data.