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# 10 Examples of Standard Deviation

October 10, 2023
written by Rida Mirza

Standard deviation is a statistical measure that quantifies the amount of variation or dispersion in a set of data values.

In this article, we will discuss ten examples of standard deviation in mathematics.

## Examples of Standard Deviation

These are 10 examples of standard deviation.

### 1: Ages of 7 people

25, 22, 26, 28, 20, 18, 21

Mean = 22.86

Deviations from mean: 2.14, -0.86, 3.14, 5.14, -2.86, -4.86, -1.86

Squared deviations: 4.57, 0.74, 9.86, 26.43, 8.17, 23.57, 3.43

Sum of squared deviations = 76.77

Standard deviation = âˆš76.77/7 = 3.24

### 2: Test scores of 8 students

80, 75, 56, 90, 83, 77, 82, 88

Mean = 79.75

Standard deviation = âˆš109.31/8 = 6.41

### 3: Heights (in inches) of 10 people

65, 63, 62, 64, 67, 68, 70, 71, 68, 67

Mean = 66.1

Standard deviation = âˆš14.99/10 = 1.22

### 4: Weights (lbs) of 6 boxes

14, 10, 12, 16, 8, 11

Mean = 12

Standard deviation = âˆš10/6 = 1.41

### 5: Salaries (\$) of 9 employees

62000, 59000, 57000, 58000, 65000, 61000, 64000, 63000, 60000

Mean = 61111.11

Standard deviation = âˆš19066.67/9 = 577.35

### 6: Test scores of 7 students

68, 72, 53, 86, 77, 79, 81

Mean = 74.86

Standard deviation = âˆš289.14/7 = 10.32

### 7: Ages of 5 family members

9, 56, 32, 22, 12

Mean = 26.2

Standard deviation = âˆš526.8/5 = 14.43

### 8: Prices of 8 items (\$)

15, 9, 11, 19, 7, 13, 17, 10

Mean = 12.75

Standard deviation = âˆš39.11/8 = 3.56

### 9: Number of website visitors over 10 days

500, 420, 380, 390, 340, 360, 310, 480, 450, 470

Mean = 410

Standard deviation = âˆš1700/10 = 41.23

### 10: Heights (cm) of 12 students

165, 175, 168, 160, 176, 182, 167, 170, 158, 164, 179, 169

Mean = 169.5

Standard deviation = âˆš155.33/12 = 6.67

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