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The mean and median of a data set can differ due to the presence of outliers or skewed data. The mean is sensitive to extreme values, which can pull it in one direction, while the median, being the middle value, remains unaffected by such extremes. In a skewed distribution, the mean may be pulled toward the tail, resulting in a disparity between the two measures of central tendency. Thus, when data is not symmetrically distributed, the mean and median can yield different results.
What else can I help you with?
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.
Is it possible for quantitative data to have no mean median or mode?
Quantitative data typically has a mean, median, and mode, but there are specific scenarios where these measures might not apply meaningfully. For example, if all values in a dataset are identical, the mean and median would equal that value, but there would be no mode in the traditional sense. Additionally, in the case of an empty dataset, there would be no mean, median, or mode, as there are no values to calculate these statistics from. However, in general practice, quantitative data usually allows for the calculation of these measures.
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
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.
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.
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
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.
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.
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.
