Examples & formulas for standard deviation variance mean for ungrouped data **variance **is the expectation of the squared deviation of a random variable from its population mean or sample mean. Variance is a measure of dispersion, meaning it is a measure of how far a set of numbers is spread out from their average value. The **standard deviation** is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range. **Mean** refers to the average of a set of values.

we have compiled you Examples & formulas for standard deviation variance mean for ungrouped data to enable you understand and tackle standard deviation variance mean for ungrouped data questions or exams with ease.

## formulas for standard deviation variance mean for ungrouped data

### Mean for ungrouped data formula

To calculate the mean of ungrouped data given, the formula is;

### Variance formula for ungrouped data

**variance **is the expectation of the squared deviation of a random variable from its population mean or sample mean. Variance is a measure of dispersion, meaning it is a measure of how far a set of numbers is spread out from their average value the formula is given below

∑ (x − x̅)^{2} / n

### standard deviation formula for ungrouped data

**standard deviation** is a measure of the amount of variation or dispersion of a set of values. Standard deviation formula is simply the squareroot of the variance the answer you get from variance just squareroot it and you find the standard deviatio =√ variance

## standard deviation variance mean for ungrouped data example and solved solution

The values below shows the frequency distribution for ungrouped data determine the following measures about the frequency distribution: 6,7,8,9,10

- Mean
- Variance
- Standard deviation

**Solution**

The first step is to draw the table but you will add the columns to fill in values for (x) ,**(x-mean(x))**, **((x-mean(x))2**, **mean(x)** as shown below

- Mean=40/5 answer 8
- Variance= 10/5= 2
- Standard deviation=√ variance √ 2= 1.41

Pearson’s coefficient of correlation formula

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