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Q: When we have more data points what effect will this have on our mean?
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How does increasing the number of data points on a position-time graph improve your ability to estimate instantaneous velocity at any point on the curve?

more data points give you a much closer estimate to the slope of the graph at one single point. The slope of the graph between two points is the average velocity between two points, but with more points present, the data points will be closer together to give you a much closer approximation of the slope at one single point


Can you use mean median mode to describe numerical data?

You can use them to describe the central tendency of the data but no more than that.


How can a graph be more informative than a data table of the same data?

A graph does one thing that a data table doesn't do, which is allow a visual representation of the data to be created. This would allow you to see, for example, that a series of data points rises in a straight line far more easily than a bunch of numbers in a table would. Additionally, graphs are good for comparing data, say volumes or masses for example, so that you can see how one value compares to another. All in all, it allows you to see all the data points at once, compared to each other, so that you can draw conclusions about the data as a whole.


Do you need more than 10 observations in linear regression?

This is a difficult question to answer. The pure answer is no. In reality, it depends on the level of randomness in the data. If you plot the data, it will give you an idea of the randomness. Even with 10 data points, 1 or 2 outliers can significantly change the regression equation. I am not aware of a rule of thumb on the minimum number of data points. Obviously, the more the better. Also, calculate the correlation coefficient. Be sure to follow the rules of regression. See the following website: http:/www.duke.edu/~rnau/testing.htm


What is kurtosis?

I will answer your question in a couple of ways. First as a concept: Kurtosis is a measure of whether the data are peaked or flat relative to a normal distribution. That is, data sets with high kurtosis tend to have a distinct peak near the mean, decline rather rapidly, and have heavy tails. Data sets with low kurtosis tend to have a flat top near the mean rather than a sharp peak. A uniform distribution would be the extreme case. Now as a mathematical formula: For univariate data Y1, Y2, ..., YN, the formula for kurtosis is:where is the mean, is the standard deviation, and N is the number of data points. You may find more information at this website: http://www.itl.nist.gov/div898/handbook/eda/section3/eda35b.htm

Related questions

Why do you need the mean in maths?

The mean is one of the measures of central tendency. The other standard ones are the median and the mode. They each have their strengths and weaknesses. For the mean, also called the average, the idea of central tendency is this: every number that has gone into calculating the average has the same unweighted effect on the final average. Of course, the numbers that are out at the extremes can seem to have more pull, but you don't actually do anything different with those numbers. They are all treated exactly the same. You add all the data points together, and then divide that sum by the number of data points. So the mean represents equally each of the data points used in its calculation.This is a very important idea in statistics, where you figure out how to use measures of central tendency and other measures to say some surprisingly powerful things about the data you collect.


What does line of best fit mean?

Usually when there's 2 dots(data points), you can place a line.When there's more data points, there's way to calculate "best line" that reduces error to the minimum. So kind line best choice of approximate line that defines these dots.


How does increasing the number of data points on a position-time graph improve your ability to estimate instantaneous velocity at any point on the curve?

more data points give you a much closer estimate to the slope of the graph at one single point. The slope of the graph between two points is the average velocity between two points, but with more points present, the data points will be closer together to give you a much closer approximation of the slope at one single point


How do you normalize percentages?

Normalizing data If by "normalizing data" is meant the process by which data is transformed so that it more closely approximates a normal distribution, one method is to take the logarithm of the individual data points to the base 10. If by "normalizing data" is meant the process by which data is transformed so that it can be compared with other data from a different scale (standardization), one method is to convert the individual data points to Z scores. Z scores have a mean of zero. The individual data points are converted to numbers that are multiples or fractions of one standard deviation (SD). A datum that is equal to the mean gets a Z score of zero. A datum that is 1.5 SD above the mean gets a Z score of +1.5. A datum that is half a SD below the mean gets a Z sore of -0.5. Data Z score 60 -1.39 65 -1.04 70 -0.69 80 0.00 90 0.69 95 1.04 100 1.39 Mean: 80.0 SD: 14.4 The lefthand column is the raw data. The mean is 80, and the SD is 14.4. The Z scores -- the standardized data -- based on that mean and SD are in the righthand column. {| |}


What does data mean in maths?

data means good grasoius what does it mean.


If a guy is playing a sport and this other is playing it to and the guy has more points does that mean the guy who has more points better then the guy who has less points?

It doesn't mean that he is better then him at everything, he probably has just had more practice at the sport.


What does data mean on a contract phone?

A data plan is where you have a plan for more data on a device I think.


What is mean data?

Mean data are observations whose values are equal to the mean of the data set. By default it is the arithmetic mean but it could be the geometric or harmonic mean - if those measures are more appropriate.


What do the points on a buck mean?

Points on a buck are protrusions or points on the antlers you can hang your ring on. usally the more points the older and bigger the deer.


What is A set of data values called where there are more data values above the Mean?

skewed


What is the definition for a line graph in which data points do not fall along a straight line?

The definition is any chart where one or more points lie off the straight line joining the other points.


What is the essence of finding the standard deviation of your data?

I am not entirely sure I understand correctly what you mean by "essence". However, the idea of finding the standard deviation is to determine, as a general tendency, whether most data points are close to the average, or whether there is a large spread in the data. The standard deviation means, more or less, "How far is the typical data point from the average?"