Need help with Level 7-8 Data Handling - Making Connections? Ask our AI Tutor!

AI Tutor - Lucy

Connecting with Tutor...

Please wait while we establish connection

Hi! I'm Lucy, your AI tutor. How can I help you with Level 7-8 Data Handling - Making Connections today?

now

Maths Quiz - Level 7-8 Data Handling - Making Connections (Questions)

Make sense of connections in data. Learn correlation, scatter graphs and lines of best fit to describe, compare and predict in real KS3 contexts.

Explore the Topic →

(quiz starts below)

Fascinating Fact:

+1 means perfect positive correlation, -1 means perfect negative correlation, and 0 means no connection at all.

In KS3 Maths, you explore relationships between two variables using scatter graphs. You’ll describe trends (positive, negative or none), sketch a sensible line of best fit, and use it to make simple predictions.

Key Terms

Correlation: How two variables move together: positive (both increase), negative (one increases while the other decreases), or none.
Scatter graph: A plot of paired data points that helps you see the overall pattern or trend.
Line of best fit: A straight line that follows the trend of the points to summarise and estimate values.

Frequently Asked Questions (Click to see answers)

What does correlation mean in KS3 maths?

Correlation describes the connection between two variables. Positive means they rise together, negative means one falls as the other rises, and zero means no clear link.

How do I draw a line of best fit on a scatter graph?

Sketch a straight line that follows the overall trend, with about the same number of points above and below. Use it to estimate values between or near the data.

What do values like +1, 0 and -1 tell me?

They summarise strength and direction: +1 is perfect positive correlation, 0 is no correlation, and -1 is perfect negative correlation.

Try These Related Quizzes

1.

Tony wants to test his theory that the weather affects tourism. This sort of theory is called a .......

[ ]	hypocaust
[ ]	hypothermia
[ ]	hypothesis
[ ]	hypothetical

2.

The correlation of sea water temperatures plotted on a scattergraph against the number of bathers is .......

[ ]	positive
[ ]	negative
[ ]	not likely to provide much information about bathers
[ ]	unreliable for making predictions about bathers

3.

A scattergraph of rainfall against numbers of people on the beach shows negative correlation indicating that .......

[ ]	rain makes the sea colder
[ ]	rain puts people off using the beach
[ ]	swimmers don't like getting wet
[ ]	the tide is higher after rain

4.

What relationship is likely to be shown if ice cream sales are plotted against daily temperatures?

[ ]	Fewer ice creams are sold when it's raining
[ ]	More ice creams are sold in hot weather
[ ]	Most ice creams are bought by children
[ ]	Vanilla is the most popular flavour

5.

Time spent in a games arcade is recorded in categories 'up to 10 minutes', 'up to 20 minutes' etc. What sort of diagram is used to illustrate this data?

[ ]	Box and whisker diagram
[ ]	Cumulative frequency graph
[ ]	Frequency polygon
[ ]	Scattergraph

6.

The steepest part of the cumulative frequency graph represents .......

[ ]	the most typical range of times
[ ]	the greatest range of times
[ ]	the longest time
[ ]	the average time

7.

Tony recorded the games arcade times of 400 people. His estimate for the average time from the CF graph is .......

[ ]	the sum of all the times divided by 400
[ ]	the most popular time
[ ]	the CF value on the curve at the halfway point of the time axis
[ ]	the time value on the curve at the halfway point of the CF axis

8.

The times corresponding to 100 and 300 on the CF axis are called the lower and upper .......

[ ]	qualities
[ ]	quantities
[ ]	quarters
[ ]	quartiles

9.

What proportion of the data is represented by the IQR?

[ ]	The middle 25%
[ ]	The top 25%
[ ]	The bottom 50%
[ ]	The middle 50%

10.

Tony is at a seaside holiday resort. If he plots slot machine takings on a scattergraph against rainfall he is likely to find that .......

[ ]	the line of best fit has a positive gradient
[ ]	the points fit a perfect straight line
[ ]	the rain has no effect on takings
[ ]	there is no correlation

You can find more about this topic by visiting BBC Bitesize - Handling data

Maths Quiz - Level 7-8 Data Handling - Making Connections (Answers)

1.

Tony wants to test his theory that the weather affects tourism. This sort of theory is called a .......

[ ]	hypocaust
[ ]	hypothermia
[x]	hypothesis
[ ]	hypothetical

Scientific theories begin life as hypotheses

2.

The correlation of sea water temperatures plotted on a scattergraph against the number of bathers is .......

[x]	positive
[ ]	negative
[ ]	not likely to provide much information about bathers
[ ]	unreliable for making predictions about bathers

The warmer the water, the more people will go swimming

3.

A scattergraph of rainfall against numbers of people on the beach shows negative correlation indicating that .......

[ ]	rain makes the sea colder
[x]	rain puts people off using the beach
[ ]	swimmers don't like getting wet
[ ]	the tide is higher after rain

Not many people visit the beach when it's raining

4.

What relationship is likely to be shown if ice cream sales are plotted against daily temperatures?

[ ]	Fewer ice creams are sold when it's raining
[x]	More ice creams are sold in hot weather
[ ]	Most ice creams are bought by children
[ ]	Vanilla is the most popular flavour

Only one of the four possible answers mentions temperature

5.

Time spent in a games arcade is recorded in categories 'up to 10 minutes', 'up to 20 minutes' etc. What sort of diagram is used to illustrate this data?

[ ]	Box and whisker diagram
[x]	Cumulative frequency graph
[ ]	Frequency polygon
[ ]	Scattergraph

Times of 'up to 10 mins' are included in 'up to 20 mins' so the figures are cumulative

6.

The steepest part of the cumulative frequency graph represents .......

[x]	the most typical range of times
[ ]	the greatest range of times
[ ]	the longest time
[ ]	the average time

Cumulative frequency (CF) is always recorded on the vertical axis

7.

Tony recorded the games arcade times of 400 people. His estimate for the average time from the CF graph is .......

[ ]	the sum of all the times divided by 400
[ ]	the most popular time
[ ]	the CF value on the curve at the halfway point of the time axis
[x]	the time value on the curve at the halfway point of the CF axis

This is an estimate for the median time

8.

The times corresponding to 100 and 300 on the CF axis are called the lower and upper .......

[ ]	qualities
[ ]	quantities
[ ]	quarters
[x]	quartiles

The difference between these values is called the Inter Quartile Range (IQR)

9.

What proportion of the data is represented by the IQR?

[ ]	The middle 25%
[ ]	The top 25%
[ ]	The bottom 50%
[x]	The middle 50%

The median is at the middle quartile

10.

Tony is at a seaside holiday resort. If he plots slot machine takings on a scattergraph against rainfall he is likely to find that .......

[x]	the line of best fit has a positive gradient
[ ]	the points fit a perfect straight line
[ ]	the rain has no effect on takings
[ ]	there is no correlation

Some people play the arcade games even in good weather but more will play to get out of the rain