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Whose news?

This is a level 4 statistics activity from the Figure It Out series. It is focused on creating tally charts and graphs, interpreting information from graphs, and calculating percentages. A PDF of the student activity is included.

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Tags

  • AudienceKaiako
  • Learning AreaMathematics and Statistics
  • Resource LanguageEnglish
  • Resource typeActivity
  • SeriesFigure It Out

About this resource

Figure It Out is a series of 80 books published between 1999 and 2009 to support teaching and learning in New Zealand classrooms.

This resource provides the teachers' notes and answers for one activity from the Figure It Out series. A printable PDF of the student activity can be downloaded from the materials that come with this resource.

Specific learning outcomes:

  • Create a tally chart.
  • Create a graph.
  • Interpret information from a graph.
  • Calculate percentages.
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Whose news?

Achievement objectives

S4-1: 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.

Description of mathematics

This diagram shows the areas of statistics involved in this activity.

Statistical investigation

Statistical literacy

Probability

P

P

D

A

C


The bottom half of the diagram represents the 5 stages of the PPDAC (Problem, Plan, Data, Analysis, Conclusion) statistics investigation cycle.

Statistical ideas

"Whose News?" involves the following statistical ideas: using the PPDAC cycle*, investigative questions, multivariate data sets, tally charts, bar graphs, and pie charts, and doing a statistical investigation.

Required materials

  • access to the internet
  • 2 maps of New Zealand (see Whose news CM (.pdf))
  • 2008 population estimates (see Whose news CM (.pdf))
  • Figure It Out, Levels 4 -4+, Statistics in the Media, "Whose news?" pages 14-15
  • classmates

See Materials that come with this resource to download:

  • Whose news activity (.pdf)
  • Whose news CM (.pdf)

Activity

 | 

As an introduction, you could have your students watch the news for 1 night and note the location of the first 10 items. This process could raise questions about the data collection; it is good to encourage this sort of questioning by students. The data collected could be very different at different times of the year, such as during periods of unusual weather phenomena, major sporting events, or during election time.

Question 1b involves the students in creating various charts and graphs. You may need to give your students some help with these. Examples of these are shown in the answers section.

The ranking system mentioned in the answers for question 4 takes into account the importance an item may have based on its placement in the news order. It highlights the differences between North and South Island distribution perhaps more fully than a simple tally chart does. Here is a points table based on the system of 10 for first news item and 1 for the 10th. The spread for this small sample is not an even one; the students may have ideas about why this might be. (In the data gathered for the students’ book, the occurrence of snowstorms in the South Island on the Monday was a big news item.)

Points

Friday

Monday

Saturday

10

Dunedin

Auckland

Auckland

9

Australia

Otago

Auckland

8

Wellington

Otago

Auckland

7

Rotorua

Wellington

Tauranga

6

Wellington

Wellington

Auckland

5

Wellington

Wellington

Wellington

4

Auckland

Christchurch

Christchurch

3

Whakatane

South Island

UK

2

Texas, USA

Christchurch

USA

1

UK

Fairlie

India

Totals

NI – 33 points

SI – 10 points

NI – 28 points

SI – 27 points

NI – 45 points

SI – 4 points

Problem

Examples of the types of investigative question that students could pose are:

  • “Where do news items on the 6 o’clock news on TV1 typically come from?”
  • “Where do news items on prime-time TV in New Zealand typically come from?”

Important features of the investigative questions include specifying which news slot and which channel and that the location of the news item is of interest.

Plan

The students need to:

  • make decisions about what information they are going to collect;
  • decide how they will categorise the location, for example, is the news item about the South Island as a whole or is it more a specific South Island location?
  • consider what is prime time (if using the second question above) and what channels should be considered (for example, only free to air or include SKY);
  • decide who is collecting on which day, from which channel, in which time slot. (This part of the planning will depend on what the investigative question posed was. The data collection needs to be organised in a way that ensures there are no double-ups of data.)

At this stage, have the students consider if there is further information they could be collecting for future use,  for example, information such as what the news item was about or how long it was. Collecting the additional information at the same time makes this a multivariate data set that can be used for other investigations.

Data collection

The students may find a table such as this one useful to complete. They can adapt the headings to fit the data that they decide to collect.

Channel

 

 

 

Day

 

 

 

Location

Topic

Time

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


Analysis

The students will draw a variety of graphs depending on the data they have selected. They should be writing “I notice …” descriptive statements about the shape of the data, the spread of the data, the middle of the data, and any appropriate statistics that may have been calculated.

Conclusion

In this part of the PPDAC cycle, the students should be answering the investigative question(s) they posed and using evidence from their analysis to support their answers.

Census statistics on the population of each region and other interesting information can be found on the Stats NZ | Tatauranga Aotearoa website. The population figures in the table below were sourced from Stats NZ | Tatauranga Aotearoa: Population Estimates and Projections. The figures in the last two columns were used to draw a bar graph (shown after the table below) that compares population and news items (the South Island item was put under Canterbury because that area has the highest population in the South Island; the percentage is of the New Zealand content).

Estimated Resident Population (1)

Regional Council areas

At 30 June 2006 - 2008

Regional Council area (2)

At 30 June

Using 2008 estimates and Activity 1 stories

2006

2007

2008

Percentage of total population

Percentage of news stories

Northland

152700

153800

154700

4

 

Auckland

1371000

1394000

1414700

33

25

Waikato

395100

398600

402200

9

 

Bay of Plenty

265300

267700

269900

6

13

Gisborne

46000

45900

46000

1

 

Hawke’s Bay

152100

152500

152800

4

 

Taranaki

107300

107200

107500

3

 

Manawatū-Wanganui

229400

229000

229200

5

9

Wellington

466300

470300

473800

11

29

Tasman

45800

46100

46500

1

 

Nelson

44300

44400

44700

1

 

Marlborough

43600

44000

44500

1

 

West Coast

32100

32200

32400

1

 

Canterbury

540000

546900

552900

13

21

Otago

199800

201700

203500

5

13

Southland

93200

93000

93000

2

 

North Island regions

3185100

3219200

3250800

24

 

South Island regions

998800

1008400

1017400

24

 

Area outside regions (3)

650

650

650

0

 

New Zealand

4184600

4228300

4268900

100

 

  1. The estimated resident population is based on the census usually resident population count, updated for residents missed or counted more than once by the census (net census undercount); residents temporarily overseas on census night; and births, deaths, and net migration between census night and the date of the estimate.
  2. Based on 2006 regional council area boundaries
  3. Includes the population of Kermadec Islands, Chatham Islands Territory, and people on oil rigs.

Note: Individual figures may not add up to the stated totals due to rounding.
All derived figures have been calculated using data of greater precision than published.

A graph titled 'Population and news items' displaying data about the percentage of populations as well as the percentage of news items.

Question 2 provides a good opportunity for a discussion about when it is necessary to “clean” the data. For example, Masina labelled one news item as “South Island”. If the students do likewise, they would need to decide what to do with it later in their investigation: leave it out, choose a likely South Island region (if they know what the item is about), put it into every South Island region, or put it into the region with the largest population (as suggested earlier). Unless the region is known, assigning it to the highest population area is best; putting it into every South Island region would make most regions over-represented.

As an extension to question 3, you could ask the students if any region (Wellington in Masina’s data) stands out as having many more news items than its population would suggest and why that might be.

Extension

Students may like to investigate related representation issues in the media such as male versus female representation in the sports section of the newspaper or ethnic representation in TV advertising.

Activity 1

1.

a. Practical activity.

A map of New Zealand.

b. A possible tally chart for this information is:

Tally graph displaying the frequency distributions across both the North and South Island, as well as International locations.

Some possible graphs, which show relative proportions but in different ways, are:

Two graphs displaying the location of news items, and a pie chart showing the percentage of news items.

You could also show these proportions as a strip graph.

c. Comments will vary. Both the North Island and the South Island get coverage in the first 10 items on all 3 days, but there were no international items in the first 10 items on Monday. The North Island (from the percentage fi gures and graph) gets more than twice as much coverage as the South Island or international news. The South Island has only one item in the first 10 on Friday and Saturday, but has more than the North Island on Monday (possibly weather-related).

2.

Comments will vary. For the New Zealand items, there are more items for the North Island, mainly about events in Auckland and Wellington. Christchurch and Dunedin are the only South Island cities included as a single item on these nights. A small South Island town such as Fairlie may have featured as a bad weather/
snow story.

If you take the perspective that we have two main islands, you may think that the news should be half and half. In that case, the news representation is not fair because the North Island has twice as much coverage as the South Island. On the other hand, given that there are 3 times as many people in the North Island as in
the South Island, you could argue that there is an overrepresentation of the South Island because there are only twice as many stories for the North Island rather than 3
times as many.

3.

If a major item rolled over more than 1 night, this might skew data collected on consecutive nights, especially if the story was an international one or one based in the South Island.

4.

Most of the items in the first 10 are from the North Island, but there are a number of South Island ones as well.  International items are represented less in the first 10
news items. International and South Island news items are often shown later in the news programme. If you were to rank the top 10 items (for example, 10 points for the first item through to 1 point for the last), the North Island outranks the South Island on every day. However, the smallness of the sample means that it is difficult to draw any conclusion about the relative importance of north versus south in relation to the order of items.

Activity 2

1.

Investigations and responses will vary.

2.

The percentages that you mark on your map will vary depending on which year’s data you use. Figures for 2008 are:

A map of New Zealand.

3.

Results will vary depending on the results of your investigation in question 1. (Note that the more data collected, the better for drawing conclusions.) For 2008, ask your teacher for the table and bar graph on pages 41–42 of the teachers’ notes section.

4.

Answers will vary. The regions that appear to be invisible might be regions that don’t contain a major city, that is, rural regions and regions with very small populations. Perhaps this is partly because most reporters live in the cities and it is easier to get stories from cities that include big business or government operations.

However, if a major news story, such as a murder or a catastrophe, happens in a small area, the reporters and film crews get there as fast as possible!

"Whose news?" can be used to develop these key competencies:

  • thinking: exploring and using patterns and relationships in data, and designing investigations
  • using language, symbols, and texts: communicating findings using visual representations such as graphs
  • relating to others: collaborating
  • participating and contributing: working in groups with everyone contributing, and sharing equipment and resources.

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