KIWI KAPERS Species Weight(kg)Height (cm) Region/Gender

ANALYSIS I notice statements about their results from the samples. These should be descriptive statements and may include things such as: – commenting on shape, (symmetric/skewed) – spread, (IQR & range) – middle 50%, – summary statistics, (mean & median) – other interesting or unusual features.

ANALYSIS For each I notice statements, write a statement about what might be happening back in the population. I notice that the median weight for kiwis in this sample of 15 is 2.81 kg. This suggests that back in the population the median weight of the kiwis is probably close to 2.81 kg.

ANALYSIS What would the population distribution look like? (i.e. If you had all of the weights from your bag on a graph what would it look like?) Key ideas: * most values are between __ and ___ * the largest value is about __ * the smallest value is about __ * the middle is around __ Use these key ideas to draw a graph.

ANALYSIS Actual population distribution: How close were you?

ANALYSIS We want to look at the overall picture from the class results. Each group has done the same thing, from the same population. What would they expect other groups samples to look like?

ANALYSIS: Samples of size ___ I notice that the median weight for kiwis in samples of ___ range from ___ to kg. This suggests that back in the population the median weight of the kiwis is probably in the range of ______kg. I notice that the IQR for kiwi weight in samples of ___ are: This suggests that back in the population the middle 50% of weights of the kiwis is probably in the range of ______kg.

ANALYSIS: Samples of size ___ The largest weight is approx ___kg, the smallest weight is approx ____ kg. Back in the population,

CONCLUSION about samples of size I noticed that the range of the medians for sample size 15 was from ________kg and for sample size 30 it was __________kg. So... What do I notice about the range of the samples? So...

CONCLUSION: about samples of size This activity suggests that different samples from the same population give similar but different results. Many different samples are possible and each sample will give a slightly different picture of the population. Samples need to be big enough to give a reliable picture of the results (not too much variation in medians between different samples), but not so big to be cumbersome. ____ is a good sample size.