In the South African School, learners specifically need to develop the ability t
ID: 3252457 • Letter: I
Question
In the South African School, learners specifically need to develop the ability to reason about variability in samples and acquire a sense for expected variability to be able to predict results.
They used the candy bowl task to develop the sampling, some learners predicted, for the expected numbers of reds pulled from the mix of 20 yellow, 30 blue and 50 red candies in the bowl, all low numbers (all below 5) or all high numbers (all above 5), whereas others predicted a wide (range 8) or a narrow ( 1) range of numbers.
Explanation / Answer
Expected number of red candies from the mixture is = np =(20+30+50)X 50/100 = 50 ..... as X follows binomial (n=100, p=50/100)