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Questions and Answers
What is the formula to calculate the mean of a set of numbers?
What is the formula to calculate the mean of a set of numbers?
- Largest number minus the smallest number
- Sum of all numbers divided by 2
- Sum of all numbers divided by the count of numbers (correct)
- Median multiplied by the mode
In a set of data, if the mean is greater than the median, what does this indicate about the data's distribution?
In a set of data, if the mean is greater than the median, what does this indicate about the data's distribution?
- The data is right-skewed (correct)
- The data is left-skewed
- The data is bimodal
- The data is normally distributed
What effect does an outlier in a dataset have on the mean and median?
What effect does an outlier in a dataset have on the mean and median?
- Both mean and median are equally affected
- The mean is more affected than the median (correct)
- Neither the mean nor the median is affected
- The median is more affected than the mean
Study Notes
Calculating Mean
- The formula to calculate the mean of a set of numbers is: mean = (sum of all values) / (total number of values)
Data Distribution
- If the mean is greater than the median, it indicates that the data is skewed to the right (positively skewed), meaning there are extremely large values in the dataset.
Effect of Outliers
- An outlier in a dataset increases the mean, as it is sensitive to extreme values.
- An outlier in a dataset has a smaller effect on the median, as it is a more robust measure of central tendency.
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Description
Test your knowledge of averages and data distribution with this quiz. Explore the formula for calculating the mean of a set of numbers and understand the significance of the mean being greater than the median. Learn about the impact of outliers on the mean and median in a dataset.
