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Exploring Data: Coding Spreadsheet

Coding spreadsheet enables students to analyse the effect of coding data. Students can manipulate the values for x and the frequencies by which each value of x occurs. Students are required to understand and explain why the particular coding has been used. Once the question has been generated students calculate the...

Data Presentation: Histogram Reconstruction

Histogram reconstruction is an activity designed to enable students to gain a deeper understanding of frequency density and how it is used in the construction of a histogram.

Students cut out bars from a rectangle with which students construct three histograms using the clues given in three partially...

Measures of Centre and Spread: Do We Divide by n or n-1?

This activity is designed to enable students to gain a deeper understanding of the topic of variance and the difference between finding the population variance and the sample variance. Students might expect that the sum of the deviations would be divided by n when finding the sample variance instead of (n-1). The...

Measures of Centre and Spread: Spot the Error

In this activity students are presented with a calculation of the standard deviation of seven athletes. Students are asked to comment upon the result. It is intended that students will spot that the standard deviation is too large given the data, but can students spot the error? This resource highlights the errors...

Probability: Random Independence

This activity involves the quest to show whether two events are independent. Students are required to use a Venn diagram and to apply logic to find all possible combinations of values within the diagram and thus calculate the probability of event A and event B being independent events. The answer provides a full...

Probability: Biased Dice Independence

Students are presented with a normal six sided dice students and are asked to show that the probability of two events 'the score is odd' and 'the score is prime' are not independent. Students are then given conditions for the probabilities of the scores on a biased dice and are challenged to discover if it is now...

Probability: Balls in a Box

The presentation presents a box containing m white balls and n black balls. Students are asked to explore the probability that if two balls are chosen consecutively, without replacement, the two balls are the same colour. A spreadsheet simulating the situation is provided to enable students to experiment. The...

Probability: the Two Dominoes

Students are challenges to estimate the probability that if two dominoes are picked, at random, from a standard pack of dominoes that at least one number on each domino will match. The simulation on sheet one is then used to generate experimental results to predict whether their estimation is supported. Sheet two...

Discrete Random Variables: DRVs from a Bag

This exercise is designed to ensure that students know how to find the expected value, E(X), and the variance, Var(X) for a discrete random variable, and that the probabilities in a probability distribution always add to one. Students are given a selection of numbers and are challenged to establish those...

Discrete Random Variables: Double or Add?

In this activity students examine how rolling a dice and doubling the score produces a different probability distribution from rolling two dice and adding the scores on the two die. This activity can be conducted experimentally, with the simulation on sheet two of the spreadsheet producing many trials with...