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Which measure of central tendency represents the numbers that appear most often in a set of data?
Wiki User
∙ 11y ago
The mode.
Wiki User
∙ 11y ago
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What is the arithmetic mean of a data set is the measure of center?
It is one measure - not the only one - of a "central tendency". It is the same as the "average". To calculate the average, just add all the numbers, and divide the result by the amount of numbers.
What are the best measures of central tendency?
It depends on the particular set of numbers. Which is closest to the majority of the numbers.If all are random or completely Different numbers maybe the median?If they are really different, median is the best.If they are close to the same, the mode is better.There is no measurement better than the other, unless the data contains outliers.Mean is the most common, but if the data set contains outliers then consider using median or mode.In ADDITON:Which is better between mean, median and mode also depends on which type of data are we considering. There are basically 3 kinds of data:Nominal Data (qualitative data). For eg, marital status can be married, single, divorced or de facto.Ordinal data = the data are actually ranked, for eg Google is the number 1 search engine and yahoo is the no 2 search engine.Interval (numerical): for example: age, height, length, breadth etc.If we are looking at an interval(numerical) data, we can use any mean, median or mode. Mean is generally the best measure for statistical interference if there are no extreme values. When there are extreme values it is better to use median. Mode is very rarely used.If we are looking at nominal data, we cannot calculate mean. Like in the given example, marital status can be married, single, divorced or de facto. Now look at the following tableStatus FrequencyMarried 40Single 60Divorced 20De facto 10In this case we have to choose mode. The same is applicable for shoe size, waist size etc.If we are looking for an ordinal data, where data are ranked, the best measure of central tendency will be median.Apart from the type of data, nature of investigation in hand also affects which measure should be choose. In such cases, a personal judgment should be applied. An example is, if we are tying to compare how good a class did, in comparison with other classes, the best measure of central tendency would be mean. however, if we are looking inside a class and trying to compare how well we did in our class, median would be the best measure of central tendency. Unless the data is nominal, it is very rare that mode is the best measure of central tendency.
A symbol usually a letter that represents one or more numbers?
It is a variable
Which algebraic expression represents 12 less than twice the numbers of t toys?
It is: 2t-12
What is a pyramidal number sequence?
It is a sequence of numbers that represents how many spheres you would have in a pyramid of different heights.
What is the measure of central tendency for numbers of apples in a 2lb bag?
Mode
The measure of central tendency that is most affected by a few large or small numbers is?
The mean is the measure of central tendency that is most affected by a few large or small numbers. The median is more robust for extreme values.
What are the criteria for choosing measure of central tendency and measure of variation?
Central tendency is measured by using the mean, median and mode of a set of numbers. Variation is measured by using the range, variance and standard deviation of a set of numbers.
How would the outlier 57 affect the measures of central tendency?
The outlier 57 affects the measure of central tendency by increasing the numbers and making the problems difficult.
What is the arithmetic mean of a data set is the measure of center?
It is one measure - not the only one - of a "central tendency". It is the same as the "average". To calculate the average, just add all the numbers, and divide the result by the amount of numbers.
What is the deffinition of mode?
The mode is a statistical measure that represents the most frequently occurring value or values in a dataset. It is commonly used to describe the central tendency or the typical value of a dataset.
Which is the most stable measure of central tendency?
Stability means that there will be less variation between random samples drawn on the same population. With categorical data, you may not have a choice, the mode is the only measure of central tendency that will be meaningful. With measureable, numerical data, the mean may be the only meaningful measure of central tendency, even though the median may show less variation. Some data may be assumed to have a skewed distribution, such as the price of homes, or incomes. The more stable and meaningful value for skewed distributions is the median, as a few high numbers can have a large impact on the estimate. See related links. You can find more information on central tendency by doing a search on the internet.
If a distribution is badly skewed researchers are more likely than usual to prefer the as a measure of central tendency?
This would be the average. When the numbers are all over the place, it is difficult to use them to come to conclusions.
What measure of central tendency is found by ordering the numbers then choosing the middle one?
That is the median. Go to the middle value if there is an odd number of values, and half-way between the two in the middle if there is an even number of values.
How do you find a mode if 2 numbers appear the same number of times?
There are two modes. The mode is the only measure of central tendency where you can have no mode (no number appears more than another), one mode, or several modes, such as in your case.
Why are mode median range and mean considered tendency?
Mode is the number that occurs most often in a set of data. It is considered an indication of central tendency, because in normally distributed data, the numbers that occur most often tend to be in the center of the data. Mean is the sum of all values divided by the number of values. It is a measure of central tendency, because it is a way of calculating the average value. Median is the number that has equal number of values on each side of it when the values are ordered, or the mean of the two values that have equal values on either side if the number of values is even. It is also a way of saying what is the central tendency. Range is the largest value minus the smallest value. It is a measure of how closely grouped the data is.
Is median used for when there is a wide range of numbers?
If the wide range is evenly spread between the very small and the very large (the distribution is symmetric) then there is not much to choose between the median and the mean. If not, the median will have some advantages as a measure of central tendency.
