If it's a member of the data set, then it's a data point. If you decide to ignore it as if it was
never there, then you're altering the characteristics of the data, and no analysis you do
will reflect the true data.
Yes, if there is no variation: all the data have to have the same value and that value must be non-zero.
The standard deviation is a measure of how much variation there is in a data set. It can be zero only if all the values are exactly the same - no variation.
The zero theory, or null hypothesis, is the assumption that there is nothing extraordinary in a set of data; this is to contrast to the alternative hypothesis, that there is a certain pattern in the data.
By using the basic definition of a quartile. Sort the data, count how many there are in total, then count off one quarter of that. For example, if you have 80 data items, count off the first 20 items (after sorting).
Sure, if it shows up the most. Example- 0 0 0 0 0 3 6 6 6 7 9 11 11 17 17 17 17 21 *** Zero showed up the most out of this data set, so zero is the MODE of this set of numbers/data.
Yes, if there is no variation: all the data have to have the same value and that value must be non-zero.
The standard deviation is a measure of how much variation there is in a data set. It can be zero only if all the values are exactly the same - no variation.
The zero theory, or null hypothesis, is the assumption that there is nothing extraordinary in a set of data; this is to contrast to the alternative hypothesis, that there is a certain pattern in the data.
Yes, but only if every element in the data set is exactly the same. Therefore, very unlikely.
By using the basic definition of a quartile. Sort the data, count how many there are in total, then count off one quarter of that. For example, if you have 80 data items, count off the first 20 items (after sorting).
Yes it is. If all the observations have the same non-zero value then the coefficient of variation will be zero.
Either when there is a single data item, or when all data items have exactly the same value.
Variance is standard deviation squared. If standard deviation can be zero then the variance can obviously be zero because zero squared is still zero. The standard deviation is equal to the sum of the squares of each data point in your data set minus the mean, all that over n. The idea is that if all of your data points are the same then the mean will be the same as every data point. If the mean is the equal to every data point then the square of each point minus the mean would be zero. All of the squared values added up would still be zero. And zero divided by n is still zero. In this case the standard deviation would be zero. Short story short: if all of the points in a data set are equal than the variance will be zero. Yes the variance can be zero.
One that you can count up to, although I've heard zero (0) included in this set.
Simple! The average deviation for any data set is zero - by definition.
ZeroDetails:The "Standard Deviation" for ungrouped data can be calculated in the following steps:all the deviations (differences) from the arithmetic mean of the set of numbers are squared;the arithmetic mean of these squares is then calculated;the square root of the mean is the standard deviationAccordingly,The arithmetic mean of set of data of equal values is the value.All the deviations will be zero and their squares will be zerosThe mean of squares is zeroThe square root of zero is zero which equals the standard deion
Sure, if it shows up the most. Example- 0 0 0 0 0 3 6 6 6 7 9 11 11 17 17 17 17 21 *** Zero showed up the most out of this data set, so zero is the MODE of this set of numbers/data.