Statistics

Lesson

Column and bar graphs are used to display, interpret and compare categories of data that have been counted. Bar graphs can run vertically or horizontally, but column graphs only run vertically. We can compare more than one set of data on one graph, using different colours.

We use ticks to represent the numbers between the main number points, as seen below:

Let's think about how we read this graph:

- Notice how the horizontal axis says "Sales ('000)." This means that the scale is in thousands. For example, the number $4$4 represents $4000$4000 and $5$5 represents $5000$5000. The number correspond to the ticks that have vertical lines above them.
- There are $5$5 ticks between the numbered lines, so to work out how much each tick is worth, we use division: $1000\div5=200$1000÷5=200, so each tick is worth $200$200.
- Then we can work out the sales for each company. For example, $4200$4200 Mazdas were sold, because the graph shows it is $4000$4000 + one segment, or $200$200.

The table below shows the house points earned by four colour houses at their swimming carnival.

House | Points |
---|---|

Blue | $60$60 |

Green | $20$20 |

Yellow | $70$70 |

Orange | $60$60 |

Complete the graph using the information from the table.

The sales of different products are shown in the following horizontal bar graph.

Which is the best-selling product?

Product A

AProduct B

BProduct C

CProduct D

DProduct E

EProduct F

FProduct A

AProduct B

BProduct C

CProduct D

DProduct E

EProduct F

FHow many units of all products were sold in total?

If product B was sold at $\$50$$50 each, find the revenue generated by product B alone.

Study the bar graph below which shows the changes in tourism rates in different cities during 2011 and 2012, then answer the following questions.

Which city had the highest percentage of tourism in 2011?

Tokyo

ABangkok

BLondon

CParis

DTokyo

ABangkok

BLondon

CParis

DWhich city had the lowest percentage of tourism in 2012?

Singapore

AShanghai

BRome

CTokyo

DSingapore

AShanghai

BRome

CTokyo

DWhich city had the highest percentage tourism in a single year?

London

AIstanbul

BNew York

CParis

DLondon

AIstanbul

BNew York

CParis

DWhich city/cities had the lowest percentage tourism in a single year?

Note: Select ALL correct answers.

Tokyo

AShanghai

BRome

CSingapore

DTokyo

AShanghai

BRome

CSingapore

DHow much higher is Paris's percentage of tourism in 2011 than that of London in 2012?

20%

A10%

B15%

C0%

D20%

A10%

B15%

C0%

DParis' maximum percentage of tourism over the 2 years is higher than Istanbul's maximum by:

20%

A25%

B30%

C15%

D20%

A25%

B30%

C15%

D

Plan and conduct investigations using the statistical enquiry cycle:– determining appropriate variables and data collection methods;– gathering, sorting, and displaying multivariate category, measurement, and time-series data to detect patterns, variations, relationships, and trends;– comparing distributions visually;– communicating findings, using appropriate displays.