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What else can I help you with?
When is the mean not a valid statistic to describe a set of data?
The population data may be skewed and thus the mean is not a valid statistic. If mean > median, the data will be skewed to the right. If median > mean, the data is skewed to the left.
What is A set of data values called where there are more data values above the Mean?
skewed
What happens to informal votes in Australian election?
A ballot paper which has been incorrectly completed or not filled in at all. Informal votes are not counted towards any candidate but are set aside. This would mean a wasted vote.
What direction does the tail face in a positively skewed and what direction in a negatively skewed set of data?
In a positively skewed distribution, the tail faces to the right, indicating that there are a few exceptionally high values pulling the mean upwards. Conversely, in a negatively skewed distribution, the tail faces to the left, reflecting the presence of a few exceptionally low values that pull the mean downwards. This skewness affects the relationship between the mean, median, and mode in each case.
What is the most appropriate measure of location for a data set which is highly skewed to either the left or the right?
If it is very highly skewed then the mode is best.
What is skewed left?
A distribution or set of observations is said to be skewed left or negatively skewed if it has a longer "tail" of numbers on the left. The mass of the distribution is more towards the right of the figure rather than the middle.
What is a skewed right?
A distribution or set of observations is said to be skewed right or positively skewed if it has a longer "tail" of numbers on the right. The mass of the distribution is more towards the left of the figure rather than the middle.
Which measure of central tendency best describes the data set without an outlier?
The mean may be a good measure but not if the data distribution is very skewed.
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.
What is the term for when most scores in a data set are toward one end of the range of scores?
This is known as a skewed data set.
How do the mean and median compareas measures of center?
The mean is the arithmetic average of a set of values, while the median is the middle value when the data is ordered. In symmetrical distributions, the mean and median are typically close or equal, but in skewed distributions, the mean can be influenced by extreme values, making it higher or lower than the median. Thus, the median is often preferred as a measure of center for skewed data, as it provides a better representation of the typical value without being affected by outliers.
Have there ever been a candidate who won by having more popular votes than electoral votes?
Not in the United States. The way the US is set up, the president is elected by electoral votes, not popular. In fact, President George W. Bush received a smaller portion of the popular vote instead of the electoral vote I believe.
