STATISTICS

# Anything unusual from the samples i notice nothing

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Anything unusual: From the samples I notice… nothing unusual I worry or think that … Shape: Describe the shape of each sample distribution, compare the shapes of the two sample distributions Description of the sample distribution shape is what we see and also guided by what we suspect is the shape of the population/underlying distribution. We tend to ignore any features which may just be due to sampling variability. For shape we describe symmetry (e.g. symmetrical or skewed) and modality (e.g. unimodal, bimodal etc). Sometimes a re-scaling of axis is required to see the shape From the samples I notice… that the heights of both these groups are a mound shape. The mound for these boys and girls is around 165cm. (Imagine making 5cm class intervals.) that the heights for girls are symmetrical and the heights for boys are roughly symmetrical.

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Workshop 1 - Handout 2 Statistics Teacher Day Nov 09 4 Supported by TLRI Grant Back in the two populations I wonder if … the shapes will be like these. I expect so. (From my contextual knowledge what I would expect population distributions to look like) Spread: Describe the spread of each sample distribution, compare the spreads of the two sample distributions Use the spread of the middle 50% (IQR) – don’t use range From the samples I notice… that the middle 50% of these girls heights is slightly more spread out than the middle 50% of these boys heights. these girls’ heights IQR = 174 - 158 = 16 cm these boys’ heights IQR = 172 – 162 = 10 cm Back in the two populations I wonder if … the spreads will be like these. I would expect the population spreads to be similar.
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• Fall '17
• Statistics, Karekare College, Karekare College population, sample distributions, TLRI Grant

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