The ages of 14 coworkers, and I want you to do is say Symmetric distribution, they might be exactly in the same place. See a symmetric distribution, the mean and the median willīe awfully close to each other, or when you have a roughly If you have a right-skewed distribution, it would be the other way around. Situation where your mean is to the left of the median. To also get the intuition that when you have a left-skewedĭistribution like this, you will often see a The intention of this type of exercise isn't for you to try toĬalculate every data point, in fact, they don't give youĪll of the information here, and add them all up and then divide by 31. And so I would estimate to balance it out, it would actually be closer to that, which would be interval A. Have to move your fulcrum in that direction of that left skew, in the direction of the tail. If you really wanted to balance it out, it seems like you would In order to balance it? If you put the fulcrum right over here, it feels like you would Say, uniform density, where would you put a fulcrum
Histogram was made out of some material of, let's The mean in the past, but when you're looking atĪ distribution like this, when you're looking at a histogram, one way to think about the mean is it would be the balancing point. Now what about an estimate for the mean? Well, you have calculated It contains the 16th highest data point, or if you started from the left, it would also be theġ6th lowest data point. The 13 highest data points and then interval B goesįrom the 14th highest all the way to the 18th highest. The 16th from the highest or the 16th from the lowest. And so we could just thinkĪbout which interval here contains the 16th data point. That has 15 on either side, so it would be the 16th data point. So what would be the middle number if you were to order themįrom least to greatest? Well, it would be the one Here we have an odd number of data points, so it would be the middle number. Number of data points, it would be the average of the middle two. View as the middle number, or if you have an even
Median of the scores, and which one, or give anĮstimate which one contains the mean of the scores. Interval A, B, or C, which one contains the And what I'm going to ask you is, which of these intervals, Researchers scored 31 athletes on an agility test.