Guest Session: 1 Question Remaining. Create Account to save progress.
Login
Descriptive Statisticshard
0:00.0

Dataset A has 24 observations with mean 50 and variance 16. Dataset B has 36 observations with mean 60 and variance 25. When combined, what is the variance of the pooled dataset?

Use: Variancecombined=n1ns12+n2ns22+n1n(xˉ1−xˉcombined)2+n2n(xˉ2−xˉcombined)2_{combined} = \frac{n_1}{n}s_1^2 + \frac{n_2}{n}s_2^2 + \frac{n_1}{n}(\bar{x}_1-\bar{x}_{combined})^2 + \frac{n_2}{n}(\bar{x}_2-\bar{x}_{combined})^2combined​=nn1​​s12​+nn2​​s22​+nn1​​(xˉ1​−xˉcombined​)2+nn2​​(xˉ2​−xˉcombined​)2