Subjects

Maths

Statistics

Averages

How to Find the Mean and Modal Class from a Frequency Table

Name: Knowunity
Brand: Knowunity

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How to Find the Mean and Modal Class from a Frequency Table

anisa <3

@ktxnliaa

420 Followers

Estimated mean from frequency tables is a crucial statistical concept for analyzing grouped data. This comprehensive guide covers calculating means from frequency tables with class intervals, including practical examples with fish lengths and student heights.

Learn to identify modal class intervals and calculate estimated means using midpoints
Master the process of finding means from grouped frequency tables through step-by-step examples
Understand how to work with different data sets including fish measurements and student heights
Practice solving complex problems involving missing frequency values

08/01/2023

215

<h2 id="estimatedmeanfromthetable">Estimated Mean from the Table</h2>
<p>The table below shows the length of 100 fish from a local river. Th

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Page 2: Advanced Applications and Problem Solving

This page focuses on a complex example involving employee ages and demonstrates how to find missing frequency values using the estimated mean.

Example: Employee Ages Problem

Age ranges: 20-30, 30-35, 35-40, 40-50, 50-80 years
Missing frequency value 'y' to be calculated
Given estimated mean: 34.75 years

Highlight: Problem-Solving Process

Use of midpoints: 25, 32.5, 37.5, 45, 65
Total frequency: y + 102
Solution: y = 9.75

Definition: When solving for missing frequencies, use the fact that the sum of (midpoint × frequency) divided by total frequency equals the estimated mean.

Vocabulary:

Estimated mean: The approximate average calculated using class midpoints
Frequency: The number of occurrences in each class interval

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Page 1: Calculating Estimated Means from Frequency Tables

This page demonstrates the calculation of estimated means from frequency tables using two detailed examples involving fish lengths and student heights.

Example: Fish Length Calculation

Table shows lengths of 100 fish
Class intervals: 0-10, 10-20, 20-30, 30-40, 40-50 cm
Frequencies: 21, 29, 17, 31, 12
Final estimated mean: 25.9 cm

Definition: The estimated mean is calculated by multiplying each midpoint by its frequency, summing these products, and dividing by the total frequency.

Highlight: Student Height Example

Heights of 50 students analyzed
Class intervals: 110-120, 120-130, 130-140, 140-150, 150-160 cm
Calculated mean: 139.6 cm

Vocabulary:

Midpoint: The center value of a class interval
Modal class interval: The interval containing the highest frequency
Class interval: A range of values grouped together

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Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

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Download in

App Store

Knowunity is the #1 education app in five European countries

4.9+

Average app rating

15 M

Pupils love Knowunity

#1

In education app charts in 12 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

I love this app ❤️ I actually use it every time I study.

Subjects

Maths

Statistics

Averages

How to Find the Mean and Modal Class from a Frequency Table

anisa <3

@ktxnliaa

420 Followers

Learn to identify modal class intervals and calculate estimated means using midpoints
Master the process of finding means from grouped frequency tables through step-by-step examples
Understand how to work with different data sets including fish measurements and student heights
Practice solving complex problems involving missing frequency values

08/01/2023

215

11/9

Maths

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Page 2: Advanced Applications and Problem Solving

This page focuses on a complex example involving employee ages and demonstrates how to find missing frequency values using the estimated mean.

Example: Employee Ages Problem

Age ranges: 20-30, 30-35, 35-40, 40-50, 50-80 years
Missing frequency value 'y' to be calculated
Given estimated mean: 34.75 years

Highlight: Problem-Solving Process

Use of midpoints: 25, 32.5, 37.5, 45, 65
Total frequency: y + 102
Solution: y = 9.75

Definition: When solving for missing frequencies, use the fact that the sum of (midpoint × frequency) divided by total frequency equals the estimated mean.

Vocabulary:

Estimated mean: The approximate average calculated using class midpoints
Frequency: The number of occurrences in each class interval

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 1: Calculating Estimated Means from Frequency Tables

This page demonstrates the calculation of estimated means from frequency tables using two detailed examples involving fish lengths and student heights.

Example: Fish Length Calculation

Table shows lengths of 100 fish
Class intervals: 0-10, 10-20, 20-30, 30-40, 40-50 cm
Frequencies: 21, 29, 17, 31, 12
Final estimated mean: 25.9 cm

Definition: The estimated mean is calculated by multiplying each midpoint by its frequency, summing these products, and dividing by the total frequency.

Highlight: Student Height Example

Heights of 50 students analyzed
Class intervals: 110-120, 120-130, 130-140, 140-150, 150-160 cm
Calculated mean: 139.6 cm

Vocabulary:

Midpoint: The center value of a class interval
Modal class interval: The interval containing the highest frequency
Class interval: A range of values grouped together

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

4.9+

Average app rating

15 M

Pupils love Knowunity

#1

In education app charts in 12 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

How to Find the Mean and Modal Class from a Frequency Table

Page 2: Advanced Applications and Problem Solving

Page 1: Calculating Estimated Means from Frequency Tables

Similar content

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

15 M

#1

950 K+

Still not convinced? See what other students are saying...

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

The app is very simple and well designed. So far I have always found everything I was looking for :D

I love this app ❤️ I actually use it every time I study.

How to Find the Mean and Modal Class from a Frequency Table

Sign up to see the content. It's free!

Page 2: Advanced Applications and Problem Solving

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Page 1: Calculating Estimated Means from Frequency Tables

Similar content

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

15 M

#1

950 K+

Still not convinced? See what other students are saying...

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

The app is very simple and well designed. So far I have always found everything I was looking for :D

I love this app ❤️ I actually use it every time I study.