can u help me to proof where is the mean is always grater than the median in statistics?
480069
It takes only one example to prove the statement to be false, and I provided one:\n\n(Now, while you may never naturally encounter the set of numbers I used, the definitions of mean and median fit, so the statement is false.)
932915
If the numbers are x_1, x_2......x_n, then their mean is x = (Sum(i=1, n)(x_i))/n
173519
I guess you are talking about the statistical significance, of the difference of two random variables (or functions of variables).\nThat would be the case, for example if you want to test whethern two means are or not equal.\nThen, the difference of the two means can be tested to be or not zero. For that, you need to know the distribution of the original variables.\nIf the two samples come from the same normal population and are of the same size, then the difference is normal with mean zero and variance = 2*sigma^2/n where n is the sample size.\nThen, if the value (In absolute terms) is greater than X(p) then they are significantly different with probability p.\nX(p) is such P(X>X(p))=1-p.
43772
Hi! I'm a statistician and I use http://www.statsoft.com as well as cheap textbooks from Half Priced Books in my area. Both seem to help. If you have a specific question, feel free to email me. Don't know how much good I'll be because I use fancy software for my analysis, but I'll try.
308432
Suppose you have a set of numbers:\n\n0, 1, 1, 2, 3, 4, 6, 8, 9, 11, 15\n\nThe median is the middle number when put in least to greatest: 4\n\nThis breaks your list into two halves: 0, 1, 1, 2, 3 and 6, 8, 9, 11, 15.  Your upper quartile is the median of the greater half: 9.  Likewise, your lower quartile is the median of the lower half: 1.\n\nIn the event you have two numbers for a median, take the average of the two and that becomes your median.  In the above example, if you only had 6, 8, 9, 11 for your upper half, your median would be the average of 8 and 9, or 8.5.\n\nAs for your second question (assuming that x belongs in the numerator):\n\n4/5 = (-9/4) - 7x/10\n4/5 + 9/4 = -7x/10\n16/20 + 45/20 = -7x/10\n61/20 = -7x/10\n61/2 = -7x\nx = -61/14
935926
It means that there is a large gap in the middle of the data set with one or a small ammount of entries being grossly larger than the majority of the set:\n   the set 1,2,3,4,30 has a mean of 8 and a median of 3\n   the set 20,22,28,32,33,34,64,68,71 has a mean of 49 and \n   a median of 33
843945
First we compute for x using the mean value of the given array, that is:\n4 = [ x + 3 + (4x-3) + (x+4) + (-16) + 9 + (x-4) ] / 7\n28 = 7x - 7\n28 + 7 = 7x\n35 = 7x\nx = 5.\n\nPlugging the value of x to the original array, the observations now become\n(5, 3, 17, 9, -16, 9,  1)\n\nSince median is the middle value of the arranged observations or values in the given array, that is, it is the value that divides the given array into two equal parts. Thus, we then sort the given array in ascending order, that is:\n(-16, 1, 3, 5, 9, 9, 17)\n\nBecause we have n = 7 observations (which is an odd number), the median is computed as the (n + 1)/2 th observation in the ordered array. If we use the ordered array, the median is the 4th observation, that is \nmedian = 5.\n\n---\n\nNOTE: In number theory, a number n is said to be an odd number if it is not divisible by 2. That is, there exists an integer, say k, such that n = 2k - 1.
820283
To find the median you must first put your data in order from least to greatest.  The median is the number that appears in the middle.  If for some reason you have two pieces of data in the middle you find the mean of those two numbers.\n\nSlope is (y2 - y1)/(x2 - x1)
391744
This is a simple two tailed test of the equality of means.\n\nLook this up in a stats book, but the Hypothesis that you are testing is Mean1=Mean2.
74440
The Mean is the average.  You have 22 numbers; add them up and divide by two to get the mean.  In this case, that gives 87.38\n\nThe median is the "middle" value.  Since you have 22 numbers, 11 of them will be below the median, and 11 will be above.  In your case, the 11th biggest number is 87.9 and the 12th biggest number is 88.  The median could be anything in between, but is generally taken to be the average of these two- or 87.95\n\nThe mode is the most common value.  In your case, each value occurs only once, except for 91.7 which occurs twice.  Therfore, 91.7 is the mode\n\nUpper and lower quartiles are similar to the median; The lower quartile is the value below which 1/4 of your values lie, and the upper quartile is the value above which 1/4 of your values lie.  Since you have 22 numbers, the lower quartile is the value between the 5th and 6th largest numbers (82 and 83.6), and the upper quartile is the value between the 17th and 18th largest numbers (92.9 and 94.2).  That makes 82.8 and 93.55\n\nThe range is the minimum value to the maximum value, or {68 to 98.2}\n\nTo get the variance, first subtract the mean from each value.  Then, take the square of each of these new values.  Then, add up all these squares.  Finally, divide this sum by the number of values (22 in your case).  This should give a variance of 51.22 with your numbers.\nNOTE:  The above formula is for "population variance", and is generally used when your numbers represent an entire population.  If your numbers represent a sample of a population, you should use the "Sample Variance", which has the same formula except that you divide by the number of values minus one (21 in your case).  With your numbers, this should give a sample variance of 53.66.\n\nThe standard deviation is just the square root of the variance.  Like the variance, there is a "population standard deviation" (7.16 in your case) and a "sample standard deviation" (7.33 in your case)
725278
the mean is the same as the average. so just add the three numbers together and divide by 3 (because that's how many numbers there are).\nexample: 12, 45, 63\n12 + 45 + 63 = 120\n120 / 3 = 40\nso the mean is 40
1056389
You are correct. The definition of mean is the sum of the data divided by the sample size. It is a mathematical average of a set of numbers or measurements. To find a mean you first add up all the numbers that you have. Then you divide that figure by how many numbers you have. Keep up the good work.\nEx. 234+410+355+288=1,287\n      1,287/4=321.75 or 322
627711
1,10,10,14,17,20\n\nmean = sum of items / number of items = 72/6 = 12\nmedian = middle value, or mean of two middle values if there is an even number of items\nso in this case median = (10+14)/2 = 12\nmode = most frequently occurring = 10
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 =)
469807
nothing, mean is just a different word for average.  the median and mode have different meanings though.  the median is the number right in the middle of all the data, the range is the lowest number to the higest number in the data, and the mode is the number that occurs most often.\n\n"bradsgranny" down there is COMPLETEY wrong, the MODE, like i said, is the number that occurs most often, not the mean...people should check their sources before they write something that is entirely WRONG.
373301
Mean is the average. Found by adding all of the numbers together and then dividing that by the number of mumbers. \nie. 7 + 3 + 6 = 16 16/3 = 5.3 recurring.\n\nMode is the number that occurs the most.\nie. 1, 4, 1, 1, 7, 8, 3. 1 is there 3 times, the rest are only there once. 1 is the mode.\n\nMedian is the middle number.\nie. 9, 7, 4, 6, 2, 11, 8. You line them up in order.\n2, 4, 6, 7, 8, 9, 11 the median is 7. The number in the middle.
954856
mean is 85/3, or 28.33333......\n\ni dont know, its just always been that way