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Is mean and median always very similar?
The mean and median are not always similar; their relationship depends on the distribution of the data. In a symmetrical distribution, such as a normal distribution, the mean and median are typically very close or identical. However, in skewed distributions, the mean can be significantly affected by outliers, causing it to differ from the median, which remains more representative of the central tendency. Thus, while they can be similar in certain cases, this is not universally true.
Is it true that two points are always collinear?
Yes, two points are always collinear. You can draw a line through any two points.
Three points are always coplanar?
YES!
Is it true that all data points have to be shown?
The answer depends on the purpose of the plot.
Is it true that three points are always contained in exactly one plane?
3 points must always be contained in one plane, as 2 make a line, it makes no difference as to where the third point is, it will exist in the same plane in the two. Aside from all three points being in a line, this is always true.
Which measures of central location always have only one value for a set of grouped or ungrouped data?
Mean and median are the measures of central location that always have one value. This is true for a set of grouped or ungrouped data.
Advantages and disadvantages of median in statistics?
The median is advantageous because it is not influenced by extreme values, making it a robust measure of central tendency for skewed data sets. It is also easy to interpret and calculate. However, the median may not accurately represent the true center of a dataset if the data is heavily skewed or if there are outliers present. Additionally, the median may not be as efficient as the mean for certain statistical calculations due to its lack of sensitivity to all data points.
Are collinear points always coplanar?
true
Is it true that two points are always collinear?
Yes, two points are always collinear. You can draw a line through any two points.
Three points are always coplanar?
YES!
Is it true that all data points have to be shown?
The answer depends on the purpose of the plot.
Do points plotted on a line graph represent the actual data recorded by an experiment?
Yes, it shows the data in a different way
Does Data always contains facts true or false?
Data always contains information, but not necessarily facts. Data can be completely made up.
Is it true that the score of the same data with the same mean are always the same?
No, it is not true.
Is the best-fit line helpful in estimating vaules of data points true or false?
Yes. (True)
If three points are coplanar are they also collinear?
Is false
If the coefficient of determination for a data set containing 12 points is 0.5 6 of the data points must lie on the regression line for the data set.?
That is not true. It is possible for a data set to have a coefficient of determination to be 0.5 and none of the points to lies on the regression line.
