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# Probability and geometry

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1. The weights in pounds of six elementary students are: 80,92,71,63,76, and 83. Find the following:

(a) mean ____________
(b) median ____________
(c) mode __________
(d) range ___________
(e) standard deviation (to the nearest tenth of a pound) _______________

2. A bag contains five red candies, six white candies, and seven blue candies. Suppose one piece of candy is drawn at random. Find the probability for each of the following:

(a) A white candy is drawn. _______
(b) A red or blue candy is drawn. ______
(c) Neither a white nor a blue is drawn. ____

3. Two lines are parallel if they have the same slope. Explain why the points with the following coordinates form a parallelogram.
A(3,4) B(5,8) C(8,3) D(6, -1)

(a) Congruent triangles are also similar.

(b) Two similar triangles are also congruent triangles..

(c) Any two equilateral triangles are similar.

5. If each dimension of a box is quadrupled, how are the surface area and the volume affected?

6. Find the volume of the figure below (assume a right circular cylinder on bottom and half a sphere on top.