A census taker wants to measure the average height of adult males in the USA. He collects data on 1000 males and then computes the average height, s , and s _mean. He then collects data on 10,000 males and recomputes the average height, s , and s _mean. Do the recomputed quantities differ significantly from the first results?

BLUE: Average, s , and s _mean remain nearly unchanged.

YELLOW: Average changes significantly, but s , and s_mean remain nearly unchanged.

PINK: Average and s remain unchanged, but s _mean changes significantly.

GREEN: Average remains unchanged, but s and s _mean change significantly.

Answers:

Average height remains (almost exactly) the same.

remains constant.

decreases.