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Unit 1 General Maths Hi, I’m Ms Mongan ms.mongan@gmail.com

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Questionnaire Instructions: Please answer the following questions in your book, on your own and without speaking. I will explain why at the end I will explain why at the end

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Preliminary Question Write down the time you begin this questionnaire. Eg. 1:36pm

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Question 1 1. Starting with yourself, what are the names of the people sitting in your row (or at your table)?

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Question 2 2. State your approximate height in metres.

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Question 3 3. How many years old do you think your teacher is?

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Question 4 4. Please rate your dislike of mathematics A) Very weak B) Weak C) Moderate D) Strong E) Very strong

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Question 5 5. Which town do you live in?

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Question 6 6. Are you a morning person or a night person?

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Question 7 7. Would you rate yourself as: A) Above average intelligence B) Average intelligence C) Below average intelligence?

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Question 8 8. How many siblings do you have?

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Question 9 9. How long did it take you to complete this survey?

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Types of Data collected 1. Names = Categorical, nominal 2. Height = Numerical, continuous 3. Age = Numerical, discrete 4. Dislike = Categorical, ordinal 5. Town = Categorical, nominal 6. Morning/Night= Categorical, nominal 7. Intelligence = Categorical, ordinal 8. Siblings = Numerical, discrete 9. Time = Numerical, continuous

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Exercise 1A Categorical Data – Nominal or Ordinal? p5

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Exercise 1A Numerical Data – Discrete or Continuous? p5

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Frequency Distribution Table OK, we’ve collected the data. How do we best represent it?

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Frequency Frequency: The number of times something occurs eg. A particular piece of data

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This is a frequency distribution table The question asks us to put the info into a bar chart…. ??????? Picture it in your mind then draw a rough one. What kind of data is this?

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Exercise 1A - Representing Categorical Data p6

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Grouping Data Let’s say you collect a whole heap of scores (n________ data) It is sometimes convenient to put it into groups. Can this be done with categorical data?

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What do groups look like? Groups (also known as classes) are chosen by you! It is just a range of numbers Try and form between 5 and 10 classes for your data Eg. What percentage signifies an A+ at WSC? What about a C? UG?

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Spot the differences! I mean, compare and contrast…

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My favourite word for today: Polygon Another awesome word: Distribution

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Normal Distribution- most common score in the centre. Symmetrical. Skewed Distribution – look at where it has been dragged Bimodal distribution – Bi = two mode = score than occurs the most

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Summary Types of Data Representing Data

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Types of Data Categorical Nominal Ordinal Numerical Discrete Continuous

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How do you represent Categorical Data? Bar chart Eg.

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How do you represent Numerical Data? (Grouped and ungrouped) Histogram and Polygon Eg.

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Text Book 1B – Q1, 4, 8, 12

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The Mean : A measure of centre The mean (often referred to as the average). Mean = sum of values total number of values.

The Mean : A measure of centre The mean (often referred to as the average). Mean = sum of values total number of values.

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