Suppose w is a subspace of set of real numbers r ℝn spanned by n nonzero orthogonal vectors. explain why w equals = set of real numbers r ℝn. the goal is to show that the subspace w is actually all of set of real numbers r ℝn. in general, when are two subspaces known to be the same space?

1. why is a frequency distribution useful? it allows researchers to see the "shape" of the data. it tells researchers how often the mean occurs in a set of data. it can visually identify the mean. it ignores outliers. 2. the is defined by its mean and standard deviation alone. normal distribution frequency distribution median distribution marginal distribution 3. approximately % of the data in a given sample falls within three standard deviations of the mean if it is normally distributed. 95 68 34 99 4. a data set is said to be if the mean of the data is greater than the median of the data. normally distributed frequency distributed right-skewed left-skewed