sums up the features of a data set. It may contain the average (mean, median and/or mode) which measure the central tendency. It may also contain the range which measures the spread.

Checking understanding of summary statistics from a frequency table

Maths

Checking understanding of summary statistics from a list

Calculating summary statistics from a grouped frequency table

Calculating the mean from a grouped frequency table

Weighted means

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

Statistical summaries using technology

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 table shows the number of tries scored in some rugby matches by a team. This frequency table shows that in {{ }} matches the rugby team scored 3 tries.

The table shows the number of tries scored in some rugby matches by a team. How many tries did the rugby team score most frequently?

The table shows the number of tries scored in some rugby matches. Which of these tables corresponds with this one?

The table shows the number of tries scored in some rugby matches. There were 53 matches, so the median is in the $$27^{\text{th}}$$ position. What is the median number of tries? 

The table shows the number of tries scored in 53 rugby matches. Over the 53 matches the total number of tries is {{ }}.

The table shows the number of tries scored in 50 rugby matches. The mean number of tries scored per match for the data in this frequency table is {{ }} tries.

How many sevens are there in this set of data?

What is the modal value of this set of data?

There are 325 pieces of data in an ordered data set. The median is the data value in position {{ }} in the data set.

The (arithmetic) mean for a set of numerical data is the {{ }} of the values divided by the number of values. It is a measure of central tendency representing the average of the values. 

A data set contains 125 pieces of data and has a sum of 2500. The mean of the data set is {{ }}.

Match each summary statistic to its value for this set of data: 3, 9, 5, 8, 3, 4, 10.

Starter Quiz

How many sevens are there in this set of data?