10 Examples of Standard Deviation
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 = √76.77/7 = 3.24
2: Test scores of 8 students
80, 75, 56, 90, 83, 77, 82, 88
Mean = 79.75
Standard deviation = √109.31/8 = 6.41
3: Heights (in inches) of 10 people
65, 63, 62, 64, 67, 68, 70, 71, 68, 67
Mean = 66.1
Standard deviation = √14.99/10 = 1.22
4: Weights (lbs) of 6 boxes
14, 10, 12, 16, 8, 11
Mean = 12
Standard deviation = √10/6 = 1.41
5: Salaries ($) of 9 employees
62000, 59000, 57000, 58000, 65000, 61000, 64000, 63000, 60000
Mean = 61111.11
Standard deviation = √19066.67/9 = 577.35
6: Test scores of 7 students
68, 72, 53, 86, 77, 79, 81
Mean = 74.86
Standard deviation = √289.14/7 = 10.32
7: Ages of 5 family members
9, 56, 32, 22, 12
Mean = 26.2
Standard deviation = √526.8/5 = 14.43
8: Prices of 8 items ($)
15, 9, 11, 19, 7, 13, 17, 10
Mean = 12.75
Standard deviation = √39.11/8 = 3.56
9: Number of website visitors over 10 days
500, 420, 380, 390, 340, 360, 310, 480, 450, 470
Mean = 410
Standard deviation = √1700/10 = 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 = √155.33/12 = 6.67
Leave a Reply