# Teachers page: Good stuff!

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).

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

Frequency table for employment status

 Employment Frequency Percentage Employed 196 65.33 Not employed 104 34.67

Frequency table for ethnicity

 Ethnicity Frequency Percent European 232 77.33 Māori 36 12 Other 32 10.67

Frequency table for qualification obtained

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

Frequency table for partner status

 Partnered Frequency Percent No partner 166 44.33 Partner 167 55.67

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 0 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