median
The binomial distribution.
mean (average) temperature median income, mediian home prices, salary, etc. mode is the most likely occurence of an event. If the distribution of outcomes is symmetrical, then mean median mode
Interval-Ratio can use all three measures, but the most appropriate should be mean unless there is high skew, then median should be used.
Of these three, the median is most resistant.
median
The binomial distribution.
It depends on what you mean by a centre. The most likely answer is a median.
Plotting data in a frequency distribution shows the general shape of the distribution and gives a general sense of how the numbers are bunched. Several statistics can be used to represent the "center" of the distribution. These statistics are commonly referred to as measures of central tendency.
A positively skewed or right skewed distribution means that the mean of the data falls to the right of the median. Picturewise, most of the frequency would occur to the left of the graph.
The mode is the most probable value. Often, you determine the mode by plotting the experimental probability distribution, and finding the peak value. The mode is not necessarily the same as the mean nor the median, unless the distribution is symmetrical.
You may be most familiar with the normal distribution (the Bell-shaped curve). The mean, mode and median of this distribution are all the same because it is symmetric. If, however, you take a sample from a distribution that is asymmetric in some way then the mean, mode and median will differ. You would need to decide which of these more effectively characterises the population. Then you would compute that descriptive statistic.
mean (average) temperature median income, mediian home prices, salary, etc. mode is the most likely occurence of an event. If the distribution of outcomes is symmetrical, then mean median mode
median
There are a considerable number - check your local listing for the most appropriate
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