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Edexcel A Level Maths Statistics: Sampling Methods & Large Data Set

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El

06/04/2023

Maths

Edexcel A Level Maths: Statistics Yr1

Edexcel A Level Maths Statistics: Sampling Methods & Large Data Set

Edexcel A Level Maths Statistics covers key concepts in sampling, data analysis, and statistical measures. This comprehensive guide explores various sampling methods, the large data set, and essential statistical calculations for A Level Mathematics students.

  • Introduces fundamental statistical terminology and sampling techniques
  • Examines the Edexcel large data set, including weather variables and locations
  • Covers measures of central tendency, spread, and advanced statistical concepts
...

06/04/2023

998

Ch1]
was nov
bundmos
random
Statistics
bundnos
population whole set of items that are of interest.
census
a
measure of every member of
a pop

View

Page 2: Large Data Set and Measures of Central Tendency

This page delves into the Edexcel A Level Maths large data set and introduces measures of central tendency and location.

The large data set focuses on weather data from five UK weather stations and three overseas locations. It includes various weather variables such as:

  • Daily mean temperature
  • Daily rainfall
  • Total daily sunshine
  • Mean windspeed
  • Maximum relative humidity
  • Daily mean cloud cover
  • Daily mean visibility
  • Daily mean pressure

Example: The large data set runs from 1987 to 2015 and includes UK stations from north to south: Leuchars, Leeming, Heathrow, Hurn, and Camborne.

The page then introduces measures of central tendency:

  1. Mode: the value that occurs most often
  2. Median: the middle value when all values are ordered
  3. Mean: calculated by summing all values and dividing by the number of values

Definition: Quartiles are points that divide a dataset into four equal parts. The lower quartile Q1Q1 is 1/4 of the way through the data set, while the upper quartile Q3Q3 is 3/4 of the way through.

The page also mentions interpolation, a method used to find median, quartiles, and percentages in frequency tables.

Ch1]
was nov
bundmos
random
Statistics
bundnos
population whole set of items that are of interest.
census
a
measure of every member of
a pop

View

Page 3: Measures of Spread and Statistical Calculations

This page focuses on measures of spread and introduces more advanced statistical calculations for A Level Maths.

Two main types of spread are discussed:

  1. Range: the difference between the largest and smallest values
  2. Interquartile range IQRIQR: the difference between the upper and lower quartile values

Highlight: The range is affected by extreme values, while the IQR is not.

The page then introduces variance and standard deviation:

Definition: Variance is the spread of the data set around the mean, denoted by σ². Standard deviation is the square root of variance, denoted by σ.

Formulas for calculating variance and standard deviation are provided:

σ² = Σxxˉx - x̄² / n or σ² = Σx² / n - x̄²

The page also covers coding, a method to simplify calculations:

Example: Coding is usually given in the form y = ax + b, where 'a' affects the standard deviation, and 'b' affects the mean.

This comprehensive guide provides students with essential knowledge for Edexcel A Level Maths Statistics, covering sampling methods, data analysis, and statistical measures.

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Maths

998

6 Apr 2023

3 pages

Edexcel A Level Maths Statistics: Sampling Methods & Large Data Set

user profile picture

El

@wls.065

Edexcel A Level Maths Statistics covers key concepts in sampling, data analysis, and statistical measures. This comprehensive guide explores various sampling methods, the large data set, and essential statistical calculations for A Level Mathematics students.

  • Introduces fundamental statistical... Show more

Ch1]
was nov
bundmos
random
Statistics
bundnos
population whole set of items that are of interest.
census
a
measure of every member of
a pop

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Page 2: Large Data Set and Measures of Central Tendency

This page delves into the Edexcel A Level Maths large data set and introduces measures of central tendency and location.

The large data set focuses on weather data from five UK weather stations and three overseas locations. It includes various weather variables such as:

  • Daily mean temperature
  • Daily rainfall
  • Total daily sunshine
  • Mean windspeed
  • Maximum relative humidity
  • Daily mean cloud cover
  • Daily mean visibility
  • Daily mean pressure

Example: The large data set runs from 1987 to 2015 and includes UK stations from north to south: Leuchars, Leeming, Heathrow, Hurn, and Camborne.

The page then introduces measures of central tendency:

  1. Mode: the value that occurs most often
  2. Median: the middle value when all values are ordered
  3. Mean: calculated by summing all values and dividing by the number of values

Definition: Quartiles are points that divide a dataset into four equal parts. The lower quartile Q1Q1 is 1/4 of the way through the data set, while the upper quartile Q3Q3 is 3/4 of the way through.

The page also mentions interpolation, a method used to find median, quartiles, and percentages in frequency tables.

Ch1]
was nov
bundmos
random
Statistics
bundnos
population whole set of items that are of interest.
census
a
measure of every member of
a pop

Sign up to see the contentIt'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 3: Measures of Spread and Statistical Calculations

This page focuses on measures of spread and introduces more advanced statistical calculations for A Level Maths.

Two main types of spread are discussed:

  1. Range: the difference between the largest and smallest values
  2. Interquartile range IQRIQR: the difference between the upper and lower quartile values

Highlight: The range is affected by extreme values, while the IQR is not.

The page then introduces variance and standard deviation:

Definition: Variance is the spread of the data set around the mean, denoted by σ². Standard deviation is the square root of variance, denoted by σ.

Formulas for calculating variance and standard deviation are provided:

σ² = Σxxˉx - x̄² / n or σ² = Σx² / n - x̄²

The page also covers coding, a method to simplify calculations:

Example: Coding is usually given in the form y = ax + b, where 'a' affects the standard deviation, and 'b' affects the mean.

This comprehensive guide provides students with essential knowledge for Edexcel A Level Maths Statistics, covering sampling methods, data analysis, and statistical measures.

Ch1]
was nov
bundmos
random
Statistics
bundnos
population whole set of items that are of interest.
census
a
measure of every member of
a pop

Sign up to see the contentIt'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: Introduction to Sampling Methods and Variables

This page introduces key concepts in statistics, focusing on sampling methods for A Level Maths Edexcel. It covers the definitions of population, census, and sample, as well as various sampling techniques.

Definition: A population is the whole set of items of interest, while a sample is a selection from the population used to represent the population as a whole.

The page outlines several sampling methods for A Level Maths, including:

  1. Simple random sampling
  2. Systematic sampling
  3. Stratified sampling
  4. Quota sampling
  5. Opportunity sampling

Highlight: Each sampling method has its own advantages and disadvantages. For example, simple random sampling is free of bias but not suitable for large populations, while stratified sampling is representative of groups but requires division of the population.

The page also introduces different types of variables:

  • Quantitative data: associated with numerical data
  • Qualitative data: associated with non-numerical data
  • Continuous data: variables that can take any value
  • Discrete data: variables that can only take specific values

Vocabulary: A sampling frame is a list of sampling units with each unit given an identifying name or number.

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Paul T

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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 S

iOS 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 Klich

Android 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.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user