Mode.
The variable, height, is a continuous variable. The mode is not a good measure of central tendency for continuous variables because you would need a very large number of observations (pupils) before you are likely to get a useful number of repeat values. The modal class may be a good measure. Provided you do not have extremely short or extremely tall pupils, the mean would probably be the best.
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.
The mean.
The mode.
by getting the mean and multiply by the median
mean
mean
mode
When the data are not numerical but can be ordered , the median may be used as a measure of central tendency. Put the data in order and choose the middle value. For example, low, medium,medium,low, high etc.
The four measures of central tendency are mean-also called average, mode-the most frequently occurring numerical, median-the middle number after arranging all data from lowest to highest numerical and lastly standard deviation-root-mean-square or square-root of the variance. These are the 4 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.
You can use them to describe the central tendency of the data but no more than that.
Variability and Central Tendency (Stats Student)
There is no meaningful average wen data are categorical (qualitative). Also, the arithmetic mean is not a good measure of central tendency when the data distribution is skewed.
Benefits of Central Tendency
easures of central tendency
It is called central tendency because it represents the averages. Central tendency has three measurements: # Mean # Mode # Median