Suppose that Y1, Y2, . . . , Yn is a random sample from a normal distribution with mean μ and variance σ 2. Two unbiased estimators of σ 2 are

Section 3.4 & 3.5 David Holmes STAT 250 Feb 22 Comparing Measures and Distributions Appropriate Measures Using Measures to Determine Shape Using Measures to Compare Distributions Appropriate Measures When dealing with numerical data, one describes the distribution using the characteristics: shape, center, and spread. • What measures for center and spread is best suited for the data Mean or median Standard deviation or IQR • Depends on the shape of the distribution! The shape of the distribution will determine which measures are best for communicating typical values and variability. Example 3.14: S