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Teachers page: Good stuff!

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Mathematics and Statistics: Statistics strand – level 4

Plan and conduct investigations using the statistical enquiry cycle:

  • determining appropriate variables and data collection methods
  • gathering, sorting, and displaying multivariate category
  • comparing distributions visually
  • communicating findings, using appropriate displays.

Background
There are two activities in this resource. The first, Am I average?, uses the SURF for Schools dataset to explore the idea of the average person.

You may want to use a subset of the dataset where students are analysing the data manually.

The sample answers below are to show one way of answering the question about what defines the average person, and what sorts of comments are expected for justifications. It is not the only, or necessarily the best, way of doing the activity.

The second activity, Good stuff, has students collect their own data.

Possible analyses

Analysis and conclusions may be drawn from tables (see below) or from graphs (histograms, bar charts, pie charts).

 Graph, bar chart for age groups.

Frequency table for five year age groups

 Age group (years) frequency   Percentage  
 20 –24  35  11.67
 25 – 29  44  14.67
 30 – 34  59  19.67
 35 – 39  59  19.67
 40 – 44  51  17                       
45 – 49 52 17.33

 Graph, bar chart for employment status.

Frequency table for employment status

Employment  Frequency  Percentage 
Employed  196  65.33
Not employed  104  34.67
 
Graph, bar chart for ethnicity.

Frequency table for ethnicity

 Ethnicity  Frequency  Percent
 European  232  77.33
 Māori  36  12
 Other  32  10.67
 
 
Graph, bar chart for highest qualification obtained.

Frequency table for qualification obtained

 Qualification  Frequency  Percent
 None  88  29.33
 School  113  37.67
 Vocational  66  22
 Degree  33  11

Graph, bar chart for partner status.

Frequency table for partner status

 Partnered  Frequency  Percent
 No partner  166  44.33
 Partner  167  55.67

 Graph, bar chart for sex.

Frequency table for sex

 Sex Frequency  Percentage 
 Male  153 51 
 Female  147 49 


Summary statistics for the numerical values

 Variable Minimum   Lower quartile  Median  Upper quartile  Maximum
 Age  20 29  36  42.5 49 
 Age of partner  0 32.5  54 
 Wages/salary ($)  0  2,500.00  11,000.00  23,500.00  61,000.00
 Total income ($)  0  16,000.00  36,000.00  59,000.00  157,000.00
 Total debt ($)  0  14,000.00  37,000.00  59,000.00  183,000.00
 Total net worth ($)  -127,000.00  36,500.00  118,500.00  211,000.00  533,000.00