Little bit over to the right, this maybe right around here, To go right at the top of this lump right over here,īut if I were to do that it's pretty clear, even eyeballing it, that the right area right over here is larger than the left area. Going to be super exact, but I'm going to try to approximate it. We would want to think,Īt what value is the area on the right and theĪrea on the left equal? And once again this isn't Non-symmetric distributions? Well we'd want to do the same principle. Another way to think about it is, the area to the left of that value is equal to the area to the right of that value, making it the median. Is right over here, and so this value, onceĪgain, would be the median. More unusual distribution, this would be calledĪ bimodal distribution where you have two major lumps right over here, but it is symmetric. And in general, if you have a symmetric distribution like this, the median will be right along that line of symmetry. So in looking at a density curve, you'd want to look at the area, and you'd want to say, OK, at what value do we have equal areaĪbove and below that value? And so for this one, just eyeballing it, this value right over Values are above that value and half of the values are below. Want to find the value for which half of the If we have a set of numbers and we order them from least to greatest, the median would be the middle value, or the midway between Median for the data set described by these density curves. Want to think about is if we can approximate what value would be the middle value or the And we have four of them right over here, and the first thing I But what I want to talkĪbout in this video is think about what we can glean from them, the properties, how we canĭescribe density curves and the distributions they represent. Best wishes.Videos we introduce ourselves to the idea of a density curve, which is a summary of a distribution, a distribution of data, and in the future we'll also look at things I hope this assists and wish you a great Sunday. Please let me know if you need to know how to calculate the kurtosis of the curve. Finally, you have your normal distribution and bell curve. Leptokurtic refers to a distribution that is relatively peaked compared to a normal distribution. Platykurtic refers to a distribution that is relatively flat compare to the normal bell curve. This is another descriptor we use to describe a distribution or curve. One last point that as a tutor I would not be doing my job if I did not briefly discuss: the kurtosis of the curve representing your distribution. Asymptotic simply means that as the tails of the curve approach the x-axis they still will never touch the axis.įinally, you know - I am sure - what the mean, median and mode are. Unimodal simply means you do not have a Bi-modal distribution. The mean, median and mode are all the same. Think of a statistics test administered where there were a great many easy scores and very few lower scores from your class.Ĭharacteristics of a normal distribution or normal bell curve are as follows: If your tail on the left is longer, we refer to that distribution as "negatively skewed," and in practical terms this means a higher level of occurrences took place at the high end of the distribution. No, your distribution cannot possibly be considered normal.
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