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How mean of a data set is always one of the data points in a set of data. Explain?
Wiki User
∙ 12y ago
The mean of a set of data is the sum of all those data values, divided by the numbers of values in the set. For instance, if we had 1, 3 and 5, the mean would be (1+3+5)/3 = 3. The mean doesn't always have to be one of the data points in the set. For instance, if we had the data 1, 6, 7, 7, 8. The mean would be (1+6+7+7+8)/5 = 5.8, even though 5.8 isn't one of the values in the set.
Wiki User
∙ 12y ago
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How does the outlier affect the mean of the data?
An outlier does affect the mean of the data. How it's affected depends on how many data points there are, how far from the data the outlier is, whether it is greater than the mean (increases mean) or less than the mean (decreases the mean).
Is the mean for a set of data always greater than the standard deviation?
Yes; the standard deviation is the square root of the mean, so it will always be larger.
Is it possible for a coefficient of variation to be negative Explain.?
Of course it is! If the mean of a set of data is negative, then the coefficient of variation will be negative.
How do you calculate mean squared error?
The Mean Squared Error (MSE) is a measure of how close a fitted line is to data points. For every data point, you take the distance vertically from the point to the corresponding y value on the curve fit, this is known as the error, and square the value. Next you add up all those values for all data points, and divide by the number of points. The reason for squaring is so negative values do not cancel positive values. The smaller the Mean Squared Error, the closer the fit is to the data. The MSE has the units squared of whatever is plotted on the vertical axis.
What is the median in a set of data?
The middle value so half the data is above it and half the data is below it. It is often used because extreme values tend to affect it less than other measures of central tendency. If you have an even number of data points, the median is the mean of those two points. ( So you add the two values and divided by two)
What is the median of 15 min57sec and16min1sec?
The median of an even number of data points is the mean of the two that are central. Since you gave only 2 data points, the median is going to be the mean of the two data points, so 15'59" ■
For a distribution always mean exists?
No, not always. It depends on the type of data you collect. If it is quantitative data, you will be able to calculate a mean. If it is qualitative data, a mean can't be calculated but you can describe the data in terms of a mode.
Can the variance be a negative number?
First, we compute the variance by taking the sum of squares and divide that by N which is the number of data points in the same. It is average squared deviation of each number from its mean. The point is a squared number is always positive and N is always positive so the variance must always be non-negative. ( It can be 0). The variance is a measure of the dispersion of a set of data points around their mean value. It would not make sense for it to be negative.
What is the mean average of this data?
Add up all the values and divide by the number of data points.
How does the outlier affect the mean of the data?
An outlier does affect the mean of the data. How it's affected depends on how many data points there are, how far from the data the outlier is, whether it is greater than the mean (increases mean) or less than the mean (decreases the mean).
Why can't you find the mean of numerical data?
One reason I can think of why you might not be able to find the mean of numerical data would be if there were missing data points.
When data points in a set of a data are extreme enough to have a significant effect on the mean what are they called?
Such a data point is called an outlier.
What does it mean 'there are always been'?
'There has always been' points to something that has always existed and may be outlived you.
What is the average deviation of the data from the mean?
It is always zero.
Explain why the mean does not best represent the data?
well because in the mean you have to add them and its different from the median and the mode
What does it mean to plot data points?
If you had a formula you would plug numbers in for the variables and solve for the other variables create a list of coordinates (data points). Next you would graph those points and connect the dots.
What is the average arithmetic mean of 5 7 12 and 12?
The mean of those data points is 9.
