Blogs about Handling Data

Blogs about Handling Data

Comparing Datasets using the Mean and Range

In my experience, students, in general, find the concept of a mean straightforward to calculate and understand. However, the mean alone does not provide a complete picture of a set of data. To achieve this, a measure of spread is also required. The range is the simplest measure that can be used for this. Not […]

Plotting Scatter Graphs and Understanding Correlation

To introduce plotting scatter graphs and understanding correlation I ask students to think about the relationships between different variables and to describe how they might be related. Here’s my starter activity which students discuss in pairs then present to me on mini-whiteboards. When the students have had time to discuss the matching pairs we talk […]

How to Draw a Venn Diagram to Calculate Probabilities

There are three common ways to organise data that fall into multiple sets: two-way tables, frequency diagrams and Venn diagrams.  Having blogged about frequency diagrams before I thought I would write about how to draw a Venn Diagram to calculate probabilities. Recapping Two-Way Tables This activity works well to review two-way tables from the previous […]

Drawing Histograms with Unequal Class Widths

Higher GCSE maths students are required to plot and interpret histograms with unequal class widths.  Drawing histograms with unequal class widths are very common in GCSE maths papers. Histograms versus bar charts Histograms look like bar charts but have important differences. Histograms use a continuous horizontal scale which means the bars touch so the difference […]

Drawing Frequency Trees for GCSE Maths

Drawing frequency trees for GCSE maths is a new topic and appears on both the higher and foundation curriculum.  I’ve taught this lesson a couple of times, once to Year 10 and once to Year 11 and I have to say the kids really enjoy it. What is a frequency tree? Frequency trees can be […]

Finding the mean average from a frequency table

In this blog I will discuss finding the mean average from a frequency table.  Students need to understand why the average is the total of the data divided by the sample size.  I like to use multi-link cubes to demonstrate this concept. Finding the mean average from a frequency table The first step when finding the mean […]

Box Plots and Whisker Diagrams

Earlier this week the school I work at was inspected. This caused a mixture of reaction amongst the staff. As a teacher of mathematics with a number of GCSE classes I was pretty confident I could expect to be observed. Box plots and whisker diagrams was my observation lesson. Beginning the Lesson As the students […]

Gambling in Maths

This is the second lesson in a probability project where students use probability to design a casino gambling game. In the first lesson the class created a spinner using fixed probabilities and compared the expected frequency of events with the actual results. This concluded with a discussion about the difference between theoretical and experimental probabilities, […]

Experimental Probability

I love teaching probability. For me, it is not necessarily about working out the likelihood of an event occurring but working out the event when given the probability. What I mean by this is it’s not difficult to understand the probability of a fair dice landing on a 3 is 1/6 or the chances of picking […]