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Activity for Agent Smith‭

Type On... Excerpt Status Date
Edit Post #290581 Post edited:
4 months ago
Edit Post #290581 Post edited:
4 months ago
Edit Post #290581 Initial revision 4 months ago
Answer A: Strange behavior in elections and pie charts
My approach is, I suppose, simpler. There are 4 voters: A, B, C, D. They vote randomly There are 4 candidates vying for A, B, C, D's attention. Let's call them W, X, Y, Z How many different possible electorate results are there? 1 candidate gets all 4 votes: $^4C1 = 4$ 1 candidate gets...
(more)
4 months ago
Edit Post #290230 Post edited:
6 months ago
Edit Post #290230 Post edited:
6 months ago
Edit Post #290230 Post edited:
6 months ago
Edit Post #290230 Post edited:
6 months ago
Edit Post #290230 Post edited:
6 months ago
Edit Post #290230 Initial revision 6 months ago
Answer A: How can school children intuit why over 100, D is larger? But under 100, D% is larger?
If cost is $c$, sold for $s$, discount, $d = c - s$ Discount percentage = $\frac{c - s}{c} \times 100 = (c - s)\times \frac{100}{c}$ Absolute discount = $c - s$ As you can see ... 1. When $c 1$, and so, $(c - s)\times \frac{100}{c} > (c - s)$. The percentage discount > The absolute...
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6 months ago
Edit Post #290229 Initial revision 6 months ago
Answer A: Is there a statistical method to identify the type of outliers shown in the pictures attached to my question?
A value $x$ is an outlier IFF 1. $x Q3 + 1.5(IQR)$ where $Q1$ is the lower quartile, $Q3$ is the upper quartile, and $IQR = Q3 - Q1$, the interquartile range.
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6 months ago
Edit Post #289783 Post edited:
8 months ago
Edit Post #289783 Initial revision 8 months ago
Answer A: Solely by eye, how can 16 year olds visually distinguish $\color{red}{\vec{b} - \vec{r}}$ from $\color{limegreen}{|\vec{b}| - |\vec{r}|}$ ?
You need to: 1. Explain what a scalar is (pure magnitude) 2. Explain what a vector is (magnitude & direction). As you've drawn the diagram, your intention is clear. $\vec b - \vec r$ (in red) has been labelled (in)correctly (no arrows over b and r). You also wish to emphasize that $|\vec b| -...
(more)
8 months ago
Comment Post #289712 The minimum sample size is 30. Anything less than that and your sample is no good (too small). However, the *unbiased variance* applies to all samples less than the population size.
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8 months ago
Edit Post #289711 Post edited:
8 months ago
Edit Post #289712 Initial revision 8 months ago
Answer A: What is the formula for sample standard deviation of a small sample size?
From the little that I know ... 1. If the sample = population (census) $\sigma^2 = \displaystyle\frac{1}{N}\sum{i = 1}^N (xi - \mu)^2$ where $N$ is the size of the population and $\mu$ is the population mean. The variance is $\sigma^2$ and the standard deviation then is $\sigma$ 2. If the ...
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8 months ago
Edit Post #289711 Initial revision 8 months ago
Answer A: 25% probability that there was a chance of avoiding injury $\quad$ vs. $\quad$ 25% chance of avoiding injury
My two cents ... for what they're worth. Imagine someone places 4 identical boxes (A, B, C, D) in front of you. All of the boxes contain 4 identical cups of coffee each (4 × 4 = 16 cups of coffee that are indistinguishable from each other). In 3 of the boxes all the cups are laced with poison (inj...
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8 months ago