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No, the mean does not always have half of the observations on either side of it. The mean is a measure of central tendency that can be influenced by extreme values, leading to a skewed distribution where more observations may fall on one side of the mean than the other. In a perfectly symmetrical distribution, the mean would be at the center, with an equal number of observations on either side, but this is not the case for skewed distributions.

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1mo ago

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Are half of the observations in an arithmetic mean always larger than the mean?

no -- are you thinking of the median? the mean is just the average for example, in this set 1 4 4 4 5 6 the mean is 4, but one observation is smaller than the average and two observations are larger.


What disadvantage are there of the mean deviations?

The mean deviation of a set of observations is always zero and so conveys no information whatsoever!


What is the sum of the differences between sample observations and the sample mean is?

The sum of the differences between sample observations and the sample mean is always equal to zero. This is because the sample mean is calculated as the average of the observations, and when you subtract the mean from each observation, the positive and negative differences cancel each other out. Mathematically, this can be expressed as Σ(xi - x̄) = 0, where xi represents each individual observation and x̄ is the sample mean.


How do you work the mean average?

The "mean" is the "average". In statistics, it is the commonly used terminology. The mean value of a set of numeric observations is the sum of that set of observations divided by the number of observations.


How would the outlier affect the mean and median of the data?

An outlier will pull the mean and median towards itself. The extent to which the mean is affected will depend on the number of observations as well as the magnitude of the outlier. The median will change by a half-step.


Why do you find the mean?

You calculate the sum of all the observations and divide the answer by the number of observations.


What is it mean when a guy always stares at you and watches you?

Either he likes you or he's a stalker. Either way, good luck!


What does not all there mean?

it means that either somebody is like half asleep or off in a daydream. or crazy.


What does half past 6 mean?

it means that the time is either 6:30 or 18:30


Why are some people always mean?

Unfortunately they're either born that way or were brought up in a mean atmosphere.


For each triangle draw the other half of a rectangle. What does this mean?

The area of qa triangle is always half of the area of a rectangle with the same dimensions


How do you Measure mean value?

You add together all the observations and divide the result by the number of observations.