Can you find all the sets of five positive whole numbers that have
a mean of 4
a median of 3
and a mode of 3?
One solution is 3, 3, 3 ,5 and 6 and there are several other solutions.
There are 11 solutions with a single […]
The histogram shows the number of children in each age group on a school bus. There are no children under 5 years and no children over 17 years. There are 6 children aged between 5 and 10 years . Explain why the class boundaries are 5, 11, 16 and 18. Complete the following table. […]
Two teams Alpha United and Beta Rovers have each played 15 matches.
The data shows how many goals the teams scored in their matches.
There are six sets of data, three showing the results for Alpha United and three for Beta Rovers.
Match the data to the teams and explain your answers.
[…]
Xolile sells ice cream and the pie chart shows the sales for last week.
What fraction of the ice creams sold were strawberry? If she sold 60 strawberry ice creams how many ice creams were sold altogether.
The number of vanilla ice creams and the number of chocolate ice creams sold were the same.
[…]
The graph shows the distance along a race track for two racing cars as they approach a bend in a race. Copy the table below, take readings from the graph and fill in the table for the first 10 seconds.
How far does each car go in the 3rd second? How far […]
The ages of children arriving at a zoo in 1 hour are noted by the ticket salesman. There are 12 children between 0 and 3 years old, 14 children between 4 and 10 years old and 48 between 11 and 18 years old.
He draws a bar graph or frequency diagram to represent this […]
The table gives the 2013 population statistics for South Africa.
Complete the table and draw a histogram to represent this data.
Calculate the mean of this distribution. What can you say about the other measures of central tendency (the median and the mode)?
According to news reports in 2013 Johanna […]
In Durban the average salary is R160,000 and in Cape Town it is R180,000. Mdu moved from Cape Town to Durban.
Mdu has made both cities richer because the average salary has gone up in both due to his move. Can you explain how that could happen?
Describe what is needed for one person moving […]
When you click on ‘Continue Reading’ you see tables showing the ages of two groups of children. Find the average (mean) age in each group.
If Abe leaves his group what happens to the average age in the group?
If Chris leaves the group instead what happens to the average?
If Erin leaves the […]
Using all of the digits 1, 2, 3, 4 and 5 exactly once and once only, make two or more numbers, for example: 5, 12 and 34
Multiply these numbers together: 5 x 12 x 34 = 2 040.
Try other arrangements of the digits 1 to 5.
What is the greatest product that […]
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