## What is the relationship between the variance and the SD?

Standard deviation is the spread of a group of numbers from the mean. The variance measures the average degree to which each point differs from the mean. While standard deviation is the square root of the variance, variance is the average of all data points within a group.

## Is variance and standard deviation a measure of central tendency?

Measures that indicate the approximate center of a distribution are called measures of central tendency. Measures that describe the spread of the data are measures of dispersion. These measures include the mean, median, mode, range, upper and lower quartiles, variance, and standard deviation.

**What is the relationship between central tendency and variability?**

While central tendency tells you where most of your data points lie, variability summarizes how far apart your points from each other. Data sets can have the same central tendency but different levels of variability or vice versa. Together, they give you a complete picture of your data.

**How is standard deviation related to central tendency?**

Deviation means change or distance. But change is always followed by the word ‘from’. Hence standard deviation is a measure of change or the distance from a measure of central tendency – which is normally the mean. Hence, standard deviation is different from a measure of central tendency.

### What is the relationship between variance and standard deviation can either of these measures be negative?

Can either of these measures be negative? Explain. The standard deviation is found by taking the positive square root of the variance. Therefore, the standard deviation and variance can never be negative.

### What is the relationship between variance and standard deviation quizlet?

What is the relationship between the standard deviation and the variance? The variance is equal to the standard deviation, squared.

**Which is the best measure of central tendency?**

Mean

Mean is generally considered the best measure of central tendency and the most frequently used one. However, there are some situations where the other measures of central tendency are preferred. There are few extreme scores in the distribution. Some scores have undetermined values.

**What is the difference between measures of variability and measures of central tendencies?**

A measure of variability is a summary statistic that represents the amount of dispersion in a dataset. How spread out are the values? While a measure of central tendency describes the typical value, measures of variability define how far away the data points tend to fall from the center.

## Can the measures of central tendency and the measures of variability be used together to describe a set of scores?

Central tendency describes the central point of the distribution, and variability describes how the scores are scattered around that central point. Together, central tendency and variability are the two primary values that are used to describe a distribution of scores.

## What is the relationship between variance and standard deviation for a sample data set quizlet?

The standard deviation is the positive square root of the variance. The standard deviation and variance can never be negative. Squared deviations can never be negative.

**What are the significance and relationship among the mean variance and standard deviation of the sampling distribution?**

While variance gives you a rough idea of spread, the standard deviation is more concrete, giving you exact distances from the mean. Mean, median and mode are the measure of central tendency of data (either grouped or ungrouped).