AC9M8ST02Year 8StatisticsPractised on site

AC9M8ST02 — Year 8 Statistics

Official Curriculum Content Description:

analyse and report on the distribution of data from primary and secondary sources using random and non-random sampling techniques to select and study samples

Worked Examples (2)

Example 1Data Distribution Shape & Summary Statistics
Two study groups record their quiz results. Group A scored 10,12,13,15,16,17,1810, 12, 13, 15, 16, 17, 18 and Group B scored 14,15,18,20,23,25,2614, 15, 18, 20, 23, 25, 26. Compare the centers of the two distributions by calculating the difference between the median of Group B and the median of Group A (Median(B)−Median(A)\text{Median}(B) - \text{Median}(A)).
Common mistake: Calculating single group summary statistic without subtracting the comparison group.
Correct Answer:55
Worked Solution:
1. Ordered Group A middle value (Median A) =15= 15. 2. Ordered Group B middle value (Median B) =20= 20. 3. Difference: 20−15=520 - 15 = 5.
Example 2Frequency Tables & Data Summaries
The students in a year group took part in a survey about their hobby. The frequency table shows the results. How many students chose reading?
Survey results
GroupFrequency
reading1
drawing2
painting4
Common mistake: Read a different row's frequency instead of the one named
Correct Answer:11
Worked Solution:
Read the frequency for "reading" in the table: it is 1.

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