DRY ERASE ATOM ATTITUDE Everyone gets a dry erase board, dry erase pen, and tissue for erasing. ELEMENTS Substance that cannot be broken down to other substances by ordinary chemical means (heating, adding an acid…) YouTube - ?Tom Lehrer's The Elements" animated??
ELEMENTS AND SYMBOLS: Ca, H, Li, O, C, Mg What rules apply to writing the symbols (abbreviations of the elements)? COMPOUNDS Substance of two or more different atoms chemically combined in a fixed ratio EXAMPLES: CO 2 H 2 SO 4 H 2 O CO How is a compound written differently than an element? DO WORKSHEET: Elements, Compounds, Mixtures (back of Atomic Mass and Atomic Number Worksheet) Work in groups of three, then well compare answers.
You're probably aware of what an average is, but let's define a simple one just to get on the same page.
A simple average like this is also called a mean or mean value or sometimes an arithmetic mean of a set of numbers. Now a brick can have uneven edges, and there's no guarantee that we'll all read the ruler exactly the same way, down to the nearest mm.
Even if we all practice our measuring so that it's more consistent, we'd still have some variation in our measurements, but maybe just on some finer level, like the nearest half or quarter millimeter. Here we'll go over some of the more important types of averages and the reasons for using them. The graphs below might easily represent the day-to-day fluctuations in the price of an investment — a stock perhaps.
Of course, we can average too many points and wash even the biggest features of the data out. The simplest way to think about weighted averages is to consider a list of numbers in which some repeat. A simple example of how weighted averages are used is the atomic weights listed in the periodic table. For example, let's say that we want to rate movies based on the ratings of several movie critics. The trouble with this kind of average is that it gives much more weight to the larger numbers. Our geometric mean score is now 76% of the total possible score, and that feels about right.

The closer our data points are to one another, the closer the geometric mean will be to the arithmetic mean. Often, we'd like to ask a question like, what is the average deviation of a function from some value? As a model for this situation, the graph shows two cycles of a sine wave with points spaced evenly along it. We need a way to get around the problem of negative data points canceling positive points: We use the root mean square average.
It works like this: We take each point, square it (now everything is positive) and sum the squares. Now divide by the number of points to get the mean of the squares, and take the square root. The RMS is used very often in measurements of voltage in electric circuits that use alternating current (AC).
The teacher will ask you a question about atomic structure, you will write your answer and hold up your board. 18 (Table 2.1) Elements in the Human Body 25 elements (includes trace elements) QUIZ on FRIDAY Sept. First letter capital, second letter is lower case What are the four most common elements in the human body? CO 2 H 2 SO 4 H 2 O Carbon dioxide sulfuric acid water What rules seem to apply to writing a formula? Needed in the body in only small amounts Like mg (milligrams) WHY IMPORTANT IF WE DONT NEED SO MUCH? We already covered the arithmetic average or arithmetic mean above, by far the most commonly used kind of average.
More often than not, that data has a lot of fluctuations (noise) that can mask more important patterns. Moving averages can smooth out some of the noise so that we can focus on the longer-term trends, the ones that are important if we're trying to make money in the market.
It turns out that you don't double the smoothness of the curve if you average twice the number of points. While the scores 40 and 50 carry weights of 1 each, 80 has a weight of 6 in our calculation because it shows up six times as often.

The atomic weight listed in the periodic table is 35.459 grams per mole (I'm going to leave off the units from here on).
Because any batch of chlorine we put together on Earth will have this same ratio of isotopes, we need an averaged atomic weight that reflects such a mixture. The sum of weights doesn't have to be 100 either; it just works out that way with percents. If we simply average the y-values of these points, we get zero, because the sum is zero (yellow box). It says that on average, the sine curve is about 0.707 units away from the x-axis if we average enough cycles. In such circuits, the voltage is very real (maybe even dangerous), and it wouldn't do to mistake it for zero. Jeff Cruzan is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
A score of 80 in this data is 6 times as important as a score of 40 because it shows up 6 times more. Let's say there are four critics and they use 5, 10, 20 and 100-point scales, respectively. We call this kind of measurement an outlier, and as long as we can justify it, it's usually OK to toss it out of our average calculation. So averaging twice as many points will get you the square root of 2 (= 1.414) times the smoothness. In that case, averaging the remaining 13 lengths gives us 342mm, and that seems about right. All text and images on this website not specifically attributed to another source were created by me and I reserve all rights as to their use.
And of course if we average too many points, we just wash away all of the bumps altogether — we lose information.

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