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The measure of central tendency that is most affected by a few large or small numbers is?
Wiki User
∙ 14y ago
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.
Wiki User
∙ 14y ago
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mean
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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.
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.
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.
Do z-scores have a units of measure?
No, they do not. They are pure numbers.
When is median a better indicator of central tendency?
Because it is less influenced by occasional numbers which are very far from the middle. For example, take the series: 1, 1, 10, 10 10, 10, 10, 10, 10, 10, 1099999 You would think that the 'middle' is about 10. The median is 10 but the mean is about 100000 !
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.
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.
Which measure of central tendency represents the numbers that appear most often in a set of data?
The mode.
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.
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.
What is the average called when it is calculated by taking the sum of group of numbers?
the central tendency(average) taken like this is called ARITHMETIC MEAN
