Calculating the median

Maths

Checking understanding of the mean

Calculating the mean

Understanding the median

Understanding the mode

Calculating the mode

Understanding and calculating the range

Summarising data

Changing a data point

Evaluating the range

Comparing statistical representations

Comparing summaries of data

Analysing different statistical representations

Correlation

Statistical problems - data collection

Statistical problems - statistical summaries

Statistical problems - data presentations

Statistical problems - drawing conclusions

Problem solving with numerical summaries of data

In this unit, pupils consider the mean, median and mode and evaluate their usefulness in a variety of contexts. In the sampling unit, pupils are given the opportunity to consider where the data came from and how it was collected and can therefore start to evaluate how good a representation the sample is of the whole population.

In this unit, pupils learnt how to calculate the mean and began to use the mean to make comparisons between two sets of data. Pupils also considered whether the mean was an appropriate way of representing the data 

In this unit pupils explore the concept of measures of central tendancy, developing understanding of different types of average and their relative benefits and drawbacks. We then investigate other summaries of data such as the range and data comparison techniques.

Numerical summaries of data

A measure of central tendency is a summary measure that attempts to describe a whole set of data with a {{ }} value that represents the middle or centre of its distribution. 

An ordered data has 4751 pieces of data. The median is in the {{ }}th position.

An estate agent records how many bedrooms each house has on their sales list. The number of houses with 2 bedrooms or fewer is {{ }}.

A football coach records the number of goals scored in the last 45 matches. What is the median number of goals scored?

The median will __________ be in the middle bar on a bar chart.

Jun records how long it takes him to get to school each day for a week. Jun's results are shown on the line graph. Jun's median journey time is {{ }} minutes.

A vet records how many of each type of pet she sees in a week. Which category of pet did the fewest people have? {{ }}

How many pieces of data are represented by this bar chart?

The median is the central (middle) piece of data when the data are in numerical {{ }}. It is a measure of central tendency representing the average of the values. 

The median of these data: 1, 1, 1, 3, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9 is {{ }}.

The median of these data: 8.0, 2.2, 4.5, 8.9, 3.1, 3.4, 4.6, 8.2, 5.7 is {{ }}.

A large data set has 455 values. The median is the {{ }}th data value when the data is in order of size.

Calculating the median

Lesson outcome