Asked by
Shamika Martin
on Nov 21, 2024Verified
The percentage of data values that must be within one, two, and three standard deviations of the mean for data having a bell-shaped distribution can be determined using
A) Chebyshev's theorem.
B) The empirical rule.
C) A five-number summary.
D) Percentiles.
Chebyshev's Theorem
A statistical theorem stating that for any real dataset, the proportion of values that fall within k standard deviations from the mean is at least 1-1/k^2 for k > 1.
Empirical Rule
A statistical principle that asserts in a normal distribution, almost all of the data is contained within three standard deviations from the mean.
Standard Deviations
Standard deviations are a measure of the amount of variation or dispersion in a set of values, indicating how much the values in a dataset deviate from the mean on average.
- Distinguish among diverse variability metrics and comprehend their uses.
Verified Answer
LG
Learning Objectives
- Distinguish among diverse variability metrics and comprehend their uses.