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Is the mean equal to the median in a data set consisting of 1000 values that are all different?
If a data set consists of 1000 different values can the mean and the median be the same
When the median and mean are substantially different what does that tell you about the data?
I think it means that our data includes outliers.
Would you use mean mode median to average the points?
mean is the average of numbers in the data set mode is the most frequently occurring value in a data set and median is the middle number of the data set so you would use mean
Would you consider two data sets similar or different if they have the same mean median and range but one is positively skewed and other negatively skewed?
If the skewness is different, then the data sets are different.Incidentally, there is one [largely obsolete] definition of skewness which is in terms of the mean and median. Under that definition, it would be impossible for two data sets to have equal means and equal medians but opposite skewness.
Are the mean median and mode always numbers from a list of data?
the median and mode are but the mean is not
Is the mean equal to the median in a data set consisting of 1000 values that are all different?
If a data set consists of 1000 different values can the mean and the median be the same
Would the mean median or mode represent data best?
It depends on the data and sometimes on what you are trying to show with the data. All of them are indicators of central tendency and have different uses.
When the median and mean are substantially different what does that tell you about the data?
I think it means that our data includes outliers.
Would you use mean mode median to average the points?
mean is the average of numbers in the data set mode is the most frequently occurring value in a data set and median is the middle number of the data set so you would use mean
Does all data have a mean median or mode?
No, not all data sets have a mode but all data sets have a mean and median.
How can two data sets with different numbers have the same mean median and mode?
(10,10,30,30,30,50,50) (20,20,30,30,30,40,40) These two sets have the same mean, median and mode.
Would you consider two data sets similar or different if they have the same mean median and range but one is positively skewed and other negatively skewed?
If the skewness is different, then the data sets are different.Incidentally, there is one [largely obsolete] definition of skewness which is in terms of the mean and median. Under that definition, it would be impossible for two data sets to have equal means and equal medians but opposite skewness.
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
When might you want to use the median to describe the center of a data set instead of then mean?
You would use the median if the data were very skewed, with extreme values.
How are mean and median alike?
The mean of a set of data is all the values in that data added together and then divided by the number of values. For instance, if you had the data set 1, 3, 4, 6, 8, you would add them all up to get 22, and then divide by 5 to get 4.4 which is the mean. The median is the middle value of all data values. In the above data set, that is 4, and so 4 would be the median. Mean and median are alike in that they both attempt to find the "middle" of the data, and are both considered averages.
Can ypu find the mean and median with data from a histogram?
You can estimate the median and the mean.
Can the mean be equal to the median in a data set consisting of 1000 values that are all different?
Yes.
