An interval is all the values between two points.

The modal class is the interval, or group of values, with the highest frequency in a data set.

The median class is the class which contains the central (middle) datum when the data are in numerical order.

Calculating summary statistics from a grouped frequency table

Maths

Checking understanding of summary statistics from a list

Checking understanding of summary statistics from a frequency table

Calculating the mean from a grouped frequency table

Constructing stem and leaf diagrams

Calculating summary statistics from stem and leaf diagrams

Checking understanding of measures of central tendency

Comparing data sets in context

Checking understanding of bar charts and pictograms

Checking understanding composite and bar-line charts

Statistical summaries using technology

Checking understanding of pie charts

Comparing various representations of data sets

Problem solving with comparisons of numerical data

In this unit, pupils began to compare two different sets of data. In the future unit, pupils will consider cumulative frequency graphs and histograms and compare the data from these diagrams to other graphical representations.

In the prior unit, pupils considered the mean, median and mode and evaluated their usefulness in a variety of contexts. In this unit, pupils extend this learning to comparing two different data sets and comparing these measures of central tendency.

In this unit pupils will compare two different data sets and compare different measures of central tendancy when interpreting the data. Pupils will learn to interrogate frequency tables and stem and leaf diagrams both with and without technology.

Comparisons of numerical summaries of data

the interval with the highest frequency in a data set

the interval which contains the central datum in an ordered data set

the most frequent data value in a data set

What is the modal class of this data set?

This data set only contains integers. Which of these could be data points in the modal class?

The maximum possible range of this data set is {{ }}.

The average expected range of this data set is {{ }}.

Match each piece of information to its value.

It is the sum of the values divided by the number of values.

It is the central piece of data when the data are in order of size.

It is value that appears most frequently in a data set.

Two values in a data set that occur most frequently an equal number of times.

Which of these describes the mode of a data set.

Match each summary statistic to its value for the data set: 2, 2, 2, 4, 7, 19

Which of these statements are correct for this data set shown in a frequency table?

The table shows the number of rooms in some flats in a block of flats. The mean number of rooms in this data set is {{ }} rooms.

The median number of people in this data set is {{ }} people.

Chocolate eggs are sold in boxes of either 2, 3, or 4. The number of boxes with each number of eggs is recorded. The mean of this data set is 3.5 eggs. The value of $$x$$ is {{ }}.

Calculating summary statistics from a grouped frequency table

Lesson outcome