From the mean, mode, & median, which one is the most representative of the data?
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
1097029
The Trend Analysis module allows you to plot aggregated response data over time. This is especially valuable, if you are conducting a long running survey and would like to measure differences in perception and responses over time.\n\nThe following data points can be measured (Y-Axis)\n\n   1. Mean and Mean Percentile\n   2. Standard Deviation and Variance\n\nThe "Time Factor" (X-Axis) can have the following granularity\n\n   1. Daily\n   2. Weekly\n   3. Monthly\n   4. Quarterly (Jan-Mar, Apr-Jun, Jul-Sept, Oct-Dec)\n   5. Yearly
660198
18\nbecause: mean = sum of items/number of items\nso,      mean = 19+18+14+19+20/5\nand      mean = 18\n\nand about mode( =most common number)\nit is 19(you have 2 times 19 and all the other numbers come up only one time, so it has to be 19)\n\nHope,that was helpfull.
59697
typically the measures of central tendency are mean, median, mode\n\nMean--essentially the average\nMedian--essentially the middle number, you find this by listing all numbers in the set in order, then start to cross off from each end equally, if the set has an odd number of items you will end on the median, if it does not (thus even) there will be two numbers which you must take the average of.  if you have recurring numbers then you cant cross out all of them in one cross-out, you need to count each individually\nMode--this is the last measure of central tendency, it is the most recurring number in a set,it is possible to have more than one Mode\n\nhope this helps!!
332290
Generally it is the standard deviation, or range of typical answers.  The mean usually is the center of the bars, but not always.
324717
what type of statistics?
570786
First of all, if the population is normal, the distribution of sample means is normal regardless of sample size.  So I. is true.\n\nSecond, if the population is not normal, the distribution of sample means is approximately normal if the sample size is large.  So III. is also true.\n\nII. cannot be determined to be true unless we know what the population looks like.\n\nSo I would go with C.\n\nUPDATE: Apparently ghakh hasn't heard of the Central Limit Theorem.  You know, the "Fundamental Theorem of Statistics"?  In layman's terms, it states that if the sample size is large enough, then the sample means will be approximately normal if the sample size is large enough REGARDLESS OF WHAT THE POPULATION LOOKS LIKE!!!!!!  All you need is a finite variance, which for elementary statistics students is not something they need to be concerned with.\n\nMaybe you should take my statistics class, ghakh.  You might learn something!
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.
991331
If there were extreme data points, for example out of a sample of ten, 5 data points had the value "5," two data points had the value "6," two had the value "4,"  and 1 had the value "10," the median value would be a value between the 5th and 6th data point, the mode would simply be the one with the most frequency, 5. Since the outlier 10 data point skews the mean upward, but the trend is lopsided towards higher numbers, the mean, median, and mode are very close.
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 :)
942658
If by "resistant" you mean "unaffected", you are correct.  You can multiply the highest number in a list of data by a million and it would have no effect on the median but the mean would shoot way up, and not represent the numbers very well.
984407
In most cases you just report them both.  This would be called a "bimodal" distribution.  (You absolutely DON'T average them.)  A related question is what do do when it's a 3-way or more tie for most common.  Usually in that case you say there is "no mode" because nothing is more frequent than anything else.
956188
What you're looking for is the standard deviation.  If the data values are X and the mean is XBAR, then\n\nS.D. = sqrt{[SUM(X - XBAR)^2] / n}\n\nn is the number of data items, and SUM means to add up the squares of the differences between the data values and the mean.\n\nThe lower the standard deviation, the more tightly packed the data.  If the data is normally distributed, about 68% of the data will lie within one standard deviation of the mean, and 95% will be within two standard deviations.\n\n[Edit:  In light of the previous answers, I should add that the standard deviation is the square root of the variance.]
286076
What kind of statistic are you looking for?
890798
depends which average\n\nalthough probably the mean \n\nin order to do this you need to add up the 3 numbers and then divide by the amount of numbers\n\n13 + 9+ 8 = ?\n\nthen divide that total by 3\n\nfor the medium \n\nyou need to put the numbers in order so 8 9 13 and find the middle number\n\n\nthe other average is mode but you can only use this if there is more than one of the same number. It is the most common number
611755
Descriptive statistics is a branch of statistics that denotes any of the many techniques used to summarize a set of data. In a sense, we are using the data on members of a set to describe the set. The techniques are commonly classified as:\n\n- Graphical description in which we use graphs to summarize data. \n- Tabular description in which we use tables to summarize data. \n- Summary statistics in which we calculate certain values to summarize data. \n\nIn general, statistical data can be described as a list of subjects or units and the data associated with each of them. Although most research uses many data types for each unit, we will limit ourselves to just one data item each for this simple introduction.\n\nWe have two objectives for our summary:\n\n- We want to choose a statistic that shows how different units seem similar. Statistical textbooks call the solution to this objective, a measure of central tendency. \n- We want to choose another statistic that shows how they differ. This kind of statistic is often called a measure of statistical variability. \n\nWhen we are summarizing a quantity like length or weight or age, it is common to answer the first question with the arithmetic mean, the median, or the mode. Sometimes, we choose specific values from the cumulative distribution function called quantiles.\n\nThe most common measures of variability for quantitative data are the variance; its square root, the standard deviation; the range; interquartile range; and the absolute deviation.\n\nSteps in descriptive statistics\n- Collect data \n- Classify data \n- Summarize data \n- Present data \n- Proceed to inferential statistics if there is enough data to draw a conclusion.
580071
1,3,5,8,8\n\nUsing these numbers, the mean is 5 (1+3+5+8+8=25  25/5=5), the median (middle number) is 5.  The mode is 8 since it appears the most.  \n\nTherefore, the difference between the largest and smallest number is 8-1=7.