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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
Can non integer numbers be part of the domain?
Yes, the domain represents all the x values on a graph. Since these x values can be non-integral numbers, the domain can contain non-integral numbers.
Which algebraic expression represents 12 less than twice the numbers of t toys?
It is: 2t-12
What is the measure of central tendency for numbers of apples in a 2lb bag?
Mode
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.
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.
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.
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.
What is the deffinition of mode?
Mode is the amount of time a number shows up in a list of numbers the MOST. For example: 1,2,3,3,2,3,3,4,5,4,4,3. In this problem 3 is the mode.
What does average arithmetic mean?
The average arithmetic, often simply called the average, is a measure of central tendency that is calculated by summing a set of numbers and then dividing that sum by the count of the numbers. It provides a single value that represents the typical magnitude of a dataset. For instance, if you have the numbers 3, 5, and 7, their average would be (3 + 5 + 7) / 3 = 5. This value helps to summarize the data in a meaningful way.
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 does median value mean?
The median value is the middle number in a sorted list of numbers. To find the median, you arrange the data in ascending order and identify the central value; if there is an even number of observations, the median is the average of the two central numbers. It is a measure of central tendency that is less affected by outliers compared to the mean, making it useful for understanding the typical value in a dataset.
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.
What is the arithmetic mean of p and q?
The arithmetic mean of two numbers, p and q, is calculated by adding the two numbers together and then dividing the sum by 2. Mathematically, it can be expressed as (p + q) / 2. This value represents the average of the two numbers.
