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Q: What is the smallest measure of central tendency in a positively skewed distribution?

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If the distribution is positively skewed , then the mean will always be the highest estimate of central tendency and the mode will always be the lowest estimate of central tendency (If it is a uni-modal distribution). If the distribution is negatively skewed then mean will always be the lowest estimate of central tendency and the mode will be the highest estimate of central tendency. In both positive and negative skewed distribution the median will always be between the mean and the mode. If a distribution is less symmetrical and more skewed, you are better of using the median over the mean.

Mode

Yes. Central tendency is the way data clusters around a value. Even if the distribution of the value is skewed, the median would be the best indicator of central tendency because of the way the data is clustered.

Equality.

median

The mean and median are two measures of central tendency. In introductory statistics many schools include the mode as another example of central tendency but the mode could well be at the end of a distribution.

frequency distribution regression analysis measure of central tendency

Range is NOT a measure of central tendency. In a number of distribution - though by no means all - the mean, median and mode are near the middle of the distribution. That is more likely to be the case with a large number of observations (or experiments).

Central tendency is used with bidmodal distribution. This measure if dispersion is similar to the median of a set of data.?æ

Benefits of Central Tendency

One of the characteristics of mean when measuring central tendency is that when there are positively skewed distributions, the mean is always greater than the median. Another characteristic is that when there are negatively skewed distributions, the mean is always less than the median.

It is called central tendency because it represents the averages. Central tendency has three measurements: # Mean # Mode # Median

Central tendency is important because it is used to calculate an average on a collection of data. Central Tendency includes the mean, median, and mode.

"Central tendency" is a phrase comprising TWO words, it is not a word. Central tendency refers to the tendency of some data sets to collect around their middle value.

In typical statistical distributions, these are measures that tend to lie close to the centre of the distribution.

One of the measures of central tendency IS the average, also known as mean. You can't calculate the average from other measures of central tendency.

"What are the benefits of measures of central tendency? Explain with an example

The mean may be a good measure but not if the data distribution is very skewed.

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.

One advantage to using central tendency is the fact that is represents all data. A disadvantage to using central tendency is the fact that extremes can skew the data.

the largest amount of land is owned by the smallest number of families

The average or mean is one measure of central tendency. There are several.

Measures of central tendency are the mean, median, range, mode ect.

"Measures of central tendency are statistical measures." is an accurate statement.

NO