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Bad news?

This is a level 3 statistics activity from the Figure It Out series. It is focused on categorising data, calculating percentages, constructing a graph, and making a conclusion from the data. 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:

  • Categorise data.
  • Calculate percentages.
  • Construct a graph.
  • Make a conclusion from the data.
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Bad news?

Achievement objectives

S3-1: Conduct investigations using the statistical enquiry cycle: gathering, sorting, and displaying multivariate category and whole number data and simple time-series data to answer questions; identifying patterns and trends in context, within and between data sets; communicating findings, using data displays.

S3-2: Evaluate the effectiveness of different displays in representing the findings of a statistical investigation or probability activity undertaken by others.

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 statistics investigation cycle, PPDAC (problem, plan, data, analysis, conclusion).

Statistical ideas

"Bad news?" involves the following statistical ideas: classifying category data, using tally charts, communicating findings using graphs, repeating investigations, and using the PPDAC cycle.

As with "Dinner time ads", this activity demonstrates that “real” data can be complex and difficult to categorise.

Required materials

  • Figure It Out, Levels 3+–4, Statistics in the media, "Bad news?" pages 4–5
  • a computer spreadsheet/graphing program (optional)
  • classmates

See Materials that come with this resource to download:

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

Activity

 | 

Before the students begin their analysis, encourage them to try and reach a shared understanding of what constitutes good, bad, mixed, and neutral news, illustrating each category with exemplars. This process prepares the groundwork for determining appropriate variables and measures (a level 5 achievement objective). In this instance, the variable would be the type of news and the measures would be good, bad, mixed, and neutral. Only if those involved have similar understandings is it possible to pool data and compare the findings for different samples.

Although a standard bar graph is given as an example in the answers for question 2a, encourage the students to invent their own graphs to display the information.

For question 2b, Laki is right according to Anna’s data, but the sample (1 channel, 3 nights) is too small to support a definite conclusion. A larger data-gathering exercise, perhaps spread over 20 nights (and different channels, as suggested later), would provide a firmer foundation on which to draw a conclusion. When students share their graphs and conclusions for question 3, they should also provide each other with feedback on how effectively their data displays communicate their findings.

Investigation 1

Investigative questions are likely to be summary questions. “I wonder” questions can be phrased as suitable investigative questions. For example, “I wonder if most bad news stories are about crime?” could become the investigative question “What are bad news stories typically about?”

The PPDAC cycle starts with the problem, followed by the plan. For any investigation, encourage your students to settle on the question(s) they want to answer and then collate (or find) the data that answers the question(s). To continue the PPDAC cycle, have students share their findings with other classmates, who can help them evaluate how convincingly they have answered their investigative question and how effectively their graphs communicate the important information.

Investigation 2

In this investigation, two different channels could be compared, as could weekend or weeknight news. Is the last news item always positive? Students might like to develop and use a classification system (for example, political, economic, crime, accident, health, human interest, weather, natural disaster) as a basis for their investigation.

1.

a. Coding will vary. For example, “Death toll in bridge collapse not as high as first thought” could be either B or M (the collapse and deaths are bad news, but the fact that the toll is “not as high as first thought” is good news).

b. The table will vary depending on your answers to a. A possible table is:

Type of news

Tally

Frequency (tally total)

Percentage

Good

I

1

3

Bad

IIII IIII IIII II

17

57

Mixed

IIII IIII I

11

37

Neutral

I

1

3

TOTAL

30

30

100

 

2.

a. Types of graphs will vary. For example, you could use standard graphs such as a bar graph, a strip graph, or a dot plot (but not a pie chart as it would be difficult to show such small numbers or percentages on it) or you could invent a graph. The shape of the graphs will depend on your answers for 1b. A possible bar graph is:

A bar graph displaying the type of news showing at 6 o'clock. Good, bad, mixed and neutral.

b. Comments will vary. In the analysis given for question 1b, only 1 out of the 30 stories is classified as good and only 1 as neutral, supporting Laki’s view that there is very little good news. However, the data covers only 3 nights. The investigation would have to be extended to confirm.

3.

a. Discussion will vary. Data displays will differ depending on how the stories have been categorised and the types of graph used.

b. Answers will vary. For example, Anna could have investigated what proportion of stories were about weather-related or natural disasters, crime, or politics or what proportion were current news stories versus old news with a new bit added.

Investigation 1

After you decided on your investigative question, your planning would need to have included basic details such as which news data you would collect data from, on which nights, and for how many nights. The actual data collected will depend on your investigative question. That data will determine the best kind of graph to show the important features.

Investigation 2

Investigations and findings will vary.

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

    • thinking: investigating, interpreting, designing investigations, demonstrating statistical literacy
    • using language, symbols, and texts: communicating findings, interpreting visual representations such as graphs
    • relating to others: working in groups, collaborating
    • managing self: seeking understanding.

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