A comprehensive guide to calculating standard deviation in psychology,... Show more
Psychology188 views·Updated May 27, 2026·12 pagesHow to Find Standard Deviation for Kids: Easy Steps and Fun Facts
1 / 10
1
of 10![0
a° = 1[a0]
α
tan
()()。
Arcsic
Standard Deviation
+ Meaning:
• Measures the average amount that all scores deviate from the mean.
• The st](/_next/image?url=https%3A%2F%2Fcontent-eu-central-1.knowunity.com%2FCONTENT%2FqTjvTMoOfkQlJTjiArSO_image_page_1.webp&w=2048&q=75)
Importance of Standard Deviation in Psychology
Standard deviation serves as a crucial statistical tool in psychological research and data analysis.
Highlight: Standard deviation measures the average deviation of scores from the mean, providing insight into data distribution patterns.
Definition: The standard deviation indicates how far values in a dataset typically deviate from the mean, offering a standardized measure of spread.
2
of 10![0
a° = 1[a0]
α
tan
()()。
Arcsic
Standard Deviation
+ Meaning:
• Measures the average amount that all scores deviate from the mean.
• The st](/_next/image?url=https%3A%2F%2Fcontent-eu-central-1.knowunity.com%2FCONTENT%2FqTjvTMoOfkQlJTjiArSO_image_page_2.webp&w=2048&q=75)
Standard Deviation Formula
The mathematical foundation for calculating standard deviation is presented through its formal equation.
Definition: S = √
Vocabulary:
- S represents the standard deviation
- Σ means "sum of"
- X represents individual values
- X̄ represents the mean
- N represents the total number of values
3
of 10![0
a° = 1[a0]
α
tan
()()。
Arcsic
Standard Deviation
+ Meaning:
• Measures the average amount that all scores deviate from the mean.
• The st](/_next/image?url=https%3A%2F%2Fcontent-eu-central-1.knowunity.com%2FCONTENT%2FqTjvTMoOfkQlJTjiArSO_image_page_3.webp&w=2048&q=75)
Calculation Steps
A systematic approach to calculating standard deviation is outlined through six essential steps.
Highlight: The process involves:
- Finding the mean
- Calculating deviations
- Squaring deviations
- Summing squares
- Finding variance
- Calculating square root
4
of 10![0
a° = 1[a0]
α
tan
()()。
Arcsic
Standard Deviation
+ Meaning:
• Measures the average amount that all scores deviate from the mean.
• The st](/_next/image?url=https%3A%2F%2Fcontent-eu-central-1.knowunity.com%2FCONTENT%2FqTjvTMoOfkQlJTjiArSO_image_page_4.webp&w=2048&q=75)
Finding the Mean
This section demonstrates the first step in calculating standard deviation using a practical example.
Example: Using the numbers 75, 83, 96, 100, 121, and 125:
- Sum: 600
- Mean calculation: 600 ÷ 6 = 100
5
of 10![0
a° = 1[a0]
α
tan
()()。
Arcsic
Standard Deviation
+ Meaning:
• Measures the average amount that all scores deviate from the mean.
• The st](/_next/image?url=https%3A%2F%2Fcontent-eu-central-1.knowunity.com%2FCONTENT%2FqTjvTMoOfkQlJTjiArSO_image_page_5.webp&w=2048&q=75)
Calculating Deviations
The process of finding deviations from the mean is explained with practical calculations.
Example: Deviations from mean (100):
- 75-100 = -25
- 83-100 = -17
- 96-100 = -4
- 100-100 = 0
- 121-100 = 21
- 125-100 = 25
6
of 10![0
a° = 1[a0]
α
tan
()()。
Arcsic
Standard Deviation
+ Meaning:
• Measures the average amount that all scores deviate from the mean.
• The st](/_next/image?url=https%3A%2F%2Fcontent-eu-central-1.knowunity.com%2FCONTENT%2FqTjvTMoOfkQlJTjiArSO_image_page_6.webp&w=2048&q=75)
Squaring Deviations
This section shows how to square the deviations to eliminate negative values.
Example: Squared deviations:
- (-25)² = 625
- (-17)² = 289
- (-4)² = 16
- 0² = 0
- 21² = 441
- 25² = 625
7
of 10![0
a° = 1[a0]
α
tan
()()。
Arcsic
Standard Deviation
+ Meaning:
• Measures the average amount that all scores deviate from the mean.
• The st](/_next/image?url=https%3A%2F%2Fcontent-eu-central-1.knowunity.com%2FCONTENT%2FqTjvTMoOfkQlJTjiArSO_image_page_7.webp&w=2048&q=75)
Sum of Squares
The process of adding all squared deviations is demonstrated.
Example: Total sum of squares: 625 + 289 + 16 + 0 + 441 + 625 = 1996
8
of 10![0
a° = 1[a0]
α
tan
()()。
Arcsic
Standard Deviation
+ Meaning:
• Measures the average amount that all scores deviate from the mean.
• The st](/_next/image?url=https%3A%2F%2Fcontent-eu-central-1.knowunity.com%2FCONTENT%2FqTjvTMoOfkQlJTjiArSO_image_page_8.webp&w=2048&q=75)
Finding Variance
The calculation of variance is shown through division of the sum of squares.
Example: Variance calculation: 1996 ÷ 6 = 332.67
9
of 10![0
a° = 1[a0]
α
tan
()()。
Arcsic
Standard Deviation
+ Meaning:
• Measures the average amount that all scores deviate from the mean.
• The st](/_next/image?url=https%3A%2F%2Fcontent-eu-central-1.knowunity.com%2FCONTENT%2FqTjvTMoOfkQlJTjiArSO_image_page_9.webp&w=2048&q=75)
Final Standard Deviation Calculation
The final step of calculating the square root of variance is demonstrated.
Example: Standard deviation = √332.67 = 18.2
10
of 10![0
a° = 1[a0]
α
tan
()()。
Arcsic
Standard Deviation
+ Meaning:
• Measures the average amount that all scores deviate from the mean.
• The st](/_next/image?url=https%3A%2F%2Fcontent-eu-central-1.knowunity.com%2FCONTENT%2FqTjvTMoOfkQlJTjiArSO_image_page_10.webp&w=2048&q=75)
The Empirical Rule
The empirical rule for normal distribution is explained with percentages and standard deviations.
Definition: The empirical rule states that:
- 68% of data falls within one standard deviation
- 95% within two standard deviations
- 99.7% within three standard deviations
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Psychology188 views·Updated May 27, 2026·12 pagesHow to Find Standard Deviation for Kids: Easy Steps and Fun Facts
A comprehensive guide to calculating standard deviation in psychology, explaining its importance in data analysis and distribution understanding.
- Standard deviation measures how data points deviate from the mean, crucial for understanding data spread in psychological research
- The calculation follows... Show more
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Importance of Standard Deviation in Psychology
Standard deviation serves as a crucial statistical tool in psychological research and data analysis.
Highlight: Standard deviation measures the average deviation of scores from the mean, providing insight into data distribution patterns.
Definition: The standard deviation indicates how far values in a dataset typically deviate from the mean, offering a standardized measure of spread.
2
of 10Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
Standard Deviation Formula
The mathematical foundation for calculating standard deviation is presented through its formal equation.
Definition: S = √
Vocabulary:
- S represents the standard deviation
- Σ means "sum of"
- X represents individual values
- X̄ represents the mean
- N represents the total number of values
3
of 10Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
Calculation Steps
A systematic approach to calculating standard deviation is outlined through six essential steps.
Highlight: The process involves:
- Finding the mean
- Calculating deviations
- Squaring deviations
- Summing squares
- Finding variance
- Calculating square root
4
of 10Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
Finding the Mean
This section demonstrates the first step in calculating standard deviation using a practical example.
Example: Using the numbers 75, 83, 96, 100, 121, and 125:
- Sum: 600
- Mean calculation: 600 ÷ 6 = 100
5
of 10Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
Calculating Deviations
The process of finding deviations from the mean is explained with practical calculations.
Example: Deviations from mean (100):
- 75-100 = -25
- 83-100 = -17
- 96-100 = -4
- 100-100 = 0
- 121-100 = 21
- 125-100 = 25
6
of 10Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
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Squaring Deviations
This section shows how to square the deviations to eliminate negative values.
Example: Squared deviations:
- (-25)² = 625
- (-17)² = 289
- (-4)² = 16
- 0² = 0
- 21² = 441
- 25² = 625
7
of 10Sign up to see the content. It's free!
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Sum of Squares
The process of adding all squared deviations is demonstrated.
Example: Total sum of squares: 625 + 289 + 16 + 0 + 441 + 625 = 1996
8
of 10Sign up to see the content. It's free!
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- Improve your grades
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Finding Variance
The calculation of variance is shown through division of the sum of squares.
Example: Variance calculation: 1996 ÷ 6 = 332.67
9
of 10Sign up to see the content. It's free!
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- Improve your grades
- Join milions of students
Final Standard Deviation Calculation
The final step of calculating the square root of variance is demonstrated.
Example: Standard deviation = √332.67 = 18.2
10
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The Empirical Rule
The empirical rule for normal distribution is explained with percentages and standard deviations.
Definition: The empirical rule states that:
- 68% of data falls within one standard deviation
- 95% within two standard deviations
- 99.7% within three standard deviations
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.
Where can I download the Knowunity app?
You can download the app from Google Play Store and Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
Most popular content: Standard Deviation
1Most popular content in Psychology
9Most popular content
9Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.6/5App Store
4.7/5Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan SiOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha KlichAndroid user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
AnnaiOS user