What varies the most when you go from a samll to a large sample? a)mean or b)median?
399290
It depends on the circumstance. Could you give some background to the question? \n\nIf you take a Gaussian normal random distribution and expand the sample size, the median and the mean would both remain unchanged. This question is missing something. Could you clarify?
271009
first of all salaries, especially in america are not normally distributed. Yet in a hypothetical sense, you could use any of them in a normal distribution because they would be approximately the same. but mean is sensitive to outliers or extremes in data, whereas median and mode is not.
986393
Take a set of say, 51 data points of varying values.\n\nArrange them from least to greatest.\n\nThe 26th data point is the mode.\n\nThis is different from the median, which is the sum of the data points divided by 51.  The median will not necessarily be equal to any of the data points, while the mode, by definition, will.  If the distribution is normal, aka a bell curve, the median and the mode will be very close.  If the distribution is not a bell curve then the median and the mode may be quite different.
579180
if you're talking about in statistics, a convenience sample would be asking the first 100 people who walk past you on the street the same question. it tends to create biased results.
738520
The arithmetic mean is the average or the sum of the data divided by the sample size.  It is an appropriate measure of central tendancy for data taken for a normal population.  505 of the data is on one side of the mean and 50% on the other (Bell shaped curve).  In this case, the mean equals the median.  \n\nThe median is the exact middle of the data by count.  Splits the data by count not value.  (If you had 9 data points the median would be the 5th number when order from smallest to highest.)  It is a good measure of central tendency for skewed data or data with long tails.  Nonnormal.  For highly skewed data, the mean and median could be far apart.\n\nMode is the most frequent value in the data set.  It is good for central tendency for data with multiple modes (bimodal, trimodal, etc).  It is also good for nominal data (nonnumeric data).
885649
The bigger the sample size, the more accurate the estimate.\n\nSay I was estimating the percentage of red m&m's in a pack.\n\nIf I sampled 10 m&m's, I might I might find that the sample contains 1 red one. This could lead me to think that a pack contained 10% red m&m's.\n\nHowever, if I sampled 100 m&m's, I might find that the sample contains 15 red m&m's, leading me to think that a pack contains 15% red m&m's. This answer is impossible using the sample size of 10, as you can't get 1.5 m&m's of a particular colour.\n\nIf I sampled 1000 m&m's I might find that I have 143 red ones, leading me to think that the pack contains 14.3% red m&m's.\n\nSo, as you can see, the bigger the sample size, the closer the estimation comes to the actual answer.
470556
generally it depends on the data, but to correct a previous answer, median is NOT the average, the MEAN is the average. THe average includes all, if any, outliers (data that is noticeably different from the curve. If your data is a large sample, and a normal curve (reasonably bell shaped) the mean may better represent the data. If the data is skewed, the Median may be a better choice. But the best way to summarize the data is the "5 number summary" which includes the low number, high number, median (middle number) and the Q1 (25th percentile) and the Q3 (75th percentile). There are specific methods to calculate the Q1 and Q3
574687
Range Questions:\n1) max value is 154, min value is 2: 154-2 = 152\n2) max value is 189, min value is 13: 189-13 = 176\n3) max value is 155, min value is 2: 155-2 = 153\n\nMean/Median/Mode Questions:\n\nRemember that the mean is another way of saying "average" -- that is, add up all the values you have, and then divides that sum by the number of data points you have.\n\nThe median is the "center point" of your data -- if you sorted your data from smallest to largest, there are as many data points that are larger as there are that are smaller. \n\nThe mode of a data set is the value that is repeated most often. \n\n3) Mean = 106, Median = 113, Mode = 113\n4) Mean = 73, Median = 79.5, Mode = 81\n5) Mean = 102, Median = 121, Mode = 65 and 121\n\nIn problem 5 you have two modes, because both 65 and 121 are present twice, while all the other values are only present once.
1157784
mathematically, you CAN take an average of averages. \n\nBut statistically, it won't be meaningful, because you will be combining information from non-identical studies.
999718
what was the question?\n\n\nDo you want to know terms like mean, average, mode, standard deviation, etc.?
789105
I agree with the other answers here - I define the median as the mean of the two central numbers (when you're stuck in this situation).  Or, add the two numbers together, and divide the result by 2.\n\nHowever, math books have their own way of doing things, and I would suggest that you look at your book, checking the example, and see the answer they give in that situation.  Then do the same type of thing in this problem.
118053
Average and the Median's difference is the way it is set up.\nAverage is adding up all of the numbers, and divding it by how many numbers there are.\nMedian is setting up your numbers from LEAST to GREATEST and whichever is the middle, than thats the median. Lets say its an even number of numbers. Than you would have to take the 4th and 5th number and find the average as discussed from the definition. \nHere are some differences also.\nThey are spelled differently, pronoucnce differently, Does not have the same amount of letterings, and one starts wtih an a one starts with a m. Hehe =)
791151
Median is the "resultin the middle" Mean is the average of all results\n\neg:  7 results:\n\n\n1  2  1  9   9   9   9\n\nThe Median is 9\nThe mean is 5.7\n\nIncidentally the modeal is the numberthat occurs most - eg:\n\n1  2  5  5  3498  2323\n\nThe modal of this is 5 - the only number in fact which appears more than once. As you can see, except in VERY odd circumstances, the modal result is grotesquely misleading as an "average"\n\nHaving explained some of your question, I will let others answer the other bits, you multiple-askers you :)
256844
It allows you to compare different sets of data.\nSo one day when you have lots of different info, you can use these statistical calculations to make a decision that suits you.\n\nExample: Say you want to invest in stock. The mean gives you what you can expect to earn on the stock. The variance is a measure of how risky the stock is- the higher the variance, the more risky the stock. Usually a higher variance means you can expect a greater return(mean). The trick is to find the balance between maximising return while minimising risk.
717558
Is this for homework?? Well anyways, I had math MCAS today and that was on it. As you see the others have already answered so I have no need to type it all over again. But I will anyways. The range is the difference between the largest and smallest numbers like. 2, 4, 6, 6, 7, 8, 9, 9, 10, 12. You would do 12-2=10. For the median you would put the numbers in order greatest to least. Like if it was this:6, 7, 4, 2, 6, 9, 12, 8, 9, 10; you would make it this:2, 4, 6, 6, 7, 8, 9, 9, 10, 12 and then cross them off like in pairs like 2 and 12, 4 and 10, 6 and 9, ect. until you get to the middle. The median is the middle number. If you have an even amount and there's two in the middle(like in my example) you would put down the halfway point between both numbers. Like for 7 and 8, the answer would be 7 and a half; for 7 and 9 it would be 8; and so on. I hope I have helped with this incredibly long message.
242624
http://en.wikipedia.org/wiki/Mean_%28statistics%29\n\nThis is a link from Wikipedia. It shows lots of examples along with explanations.
556500
50%\n\nThe mean is 200 with a deviation of 50 either way.  That means that the chances are 50 percent that the rating will be higher than 200 and 50 percen the rating will be lower than 200 because 200 is the mean.