Mean/Median/Outlier/mode
What's an Outlier?
An outlier is a data point that stands out significantly from others in a dataset.
How do you get the IQR?
Subtracting the Q3 from Q1.
How do you know which option is the favorite or the most liked one?
By identifying the taller row.
No, because it shifts shapes constantly
Can a dataset's mode be a number that doesn't actually exist in the dataset?
No, a dataset's mode cannot be a number that does not exist in the dataset.
If you add a new point to a set that is exactly equal to the current mean, what happens to the standard deviation?
Adding a new data point equal to the current mean decreases the standard deviation of the data set.
If you combine two different datasets that have the exact same median, is the median of the combined dataset going to be the same?
No, the median of the combined dataset is not always going to be the same.
Can a distribution be skewed a lot to the right even if its mean is less than its median?
Yes, a distribution can be skewed to the right even if its mean is less than its median.
If you add a single extremely large number to a data set, why does the mean change a lot while the median might not change at all?
The mean changes because it includes the exact value of every number, while the median only looks at the middle position.
Why is the IQR not affected if you double the value of the largest data point in a dataset, and what does this say compared to standard deviation?
The IQR stays the same when you double the largest data point because it only looks at the middle of the numbers in a set.
How does a dot plot keeps individual data points compared to a histogram?
A dot plot keeps every individual data value visible on a number line, and a histogram groups data into intervals and hides individual values.
Can a dataset be perfectly symmetrical but still have a mean, median, and mode that are all different?
No, a dataset cannot have a mean, median, and mode that are all completely different from one another if the distribution is perfectly symmetrical