Respuesta :
Answer:
c. Variance
Step-by-step explanation:
The descriptive measure of variability that is based on the concept of variation about the mean is called the variance.
Like the colloquial use of the word variance, variance in mathematic or statistical terms describes how much each number in the dataset differs from the mean (the average) of the data set
The higher the variance, the greater the distribution of the data from the mean. This also means that the data set is less predictable since data points are less similar to eachother
Key Words
- variance
- mean (average)
- high variance
- predictable
Final answer:
The descriptive measure of variability based on the concept of a variation about the mean is Standard Deviation. It takes into account how each data point deviates from the mean, offering a comprehensive measure of spread. The variance is closely related, being the average squared deviations from the mean.So, b is the correct answer.
Explanation:
The descriptive measure of variability based on the concept of variation about the mean is the Standard Deviation. Standard Deviation quantifies the variation or dispersion of a set of data values from the mean. Unlike range and Interquartile Range (IQR) that simply measure the spread of all data points or the middle 50% of data points, respectively, Standard Deviation provides a measure that takes into account how each data point differs from the mean, making it a more robust and informative measure of variability. Variance is related as it represents the average squared deviations from the mean, and Standard Deviation is the square root of the Variance, bringing the measurement back to the same units as the original data points, allowing for more intuitive interpretation of the data's spread.
On the other hand, the Range indicates the difference between the largest and smallest data values, providing a simple measure of spread without regard to how data points cluster about the mean. The Interquartile Range (IQR), meanwhile, focuses on the middle 50% of data, offering insight into the spread of the central portion of the data set without being influenced by outliers.
