Q: Why is the mean a measure of the center of the data?

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Mean.

the center of measure is mean mode median and range

mean

For a sample of data it is a measure of the spread of the observations about their mean value.

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Related questions

mean does not mean the center of the data

The measure of center is a single value that represents the middle or central tendency of a dataset. Common measures of center include the mean, median, and mode, which each describe different aspects of the data's distribution. The choice of measure depends on the characteristics of the data and the specific question being addressed.

Mean.

The answer depends on the type of data. The mean or median are useless if the data are qualitative (categoric): only the mode is any use. The median is better than the mean is the data are very skewed.

There is no mode so it is not a measure of anything! Te data set contains an outlier: 996 and so the median is a better measure of the centre than the mean.

the center of measure is mean mode median and range

If we are building things, I would assume it means 'take a measure from the center to the edge'It could also mean 'the size of the center'In mathematics the 'measure of center' is the means how to determinate the center most of a data set.(elementary statistics) The four measures of center are mean, median, mode, and mid-rangeMean -- The mean is what you know as the average. It is calculated by taking all of the values in a set and dividing them by the total number of values in that set.Median -- The median is the number that is in the middle of a data set that is organized from lowest to highest or from highest to lowest.Mode - The mode is the number that repeats most often in a data set.Midrange - The midrange is calculated by adding the highest and lowest values of a data set together, and dividing the sum by 2.

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.

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.

Center

standard deviation

Range is a measure of variation; mode is a measure of center. Range will tell you how much the data vary, mode does not tell you how much the data vary.