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Statistics and Probability Practice
**All work should be done on a separate sheet of paper**
1) A number cube numbered 1 through 6 is tossed and the spinner below is
spun. What is the probability of getting a number greater than 3 on the cube?
On the spinner? Are the outcomes equally likely?
P(tossing a number greater than 3 on
a number cube)=__________
P(spinning a number greater than 3)=______
2) There are 6 lollipops in a bag: 4 are red and 2 are yellow. Two were picked
at random, one after the other, without the first lollipop being replaced. What
is the probability of picking a red lollipop first and a yellow lollipop second?
3) David tossed a coin 15 times. The following table shows the outcomes. What is
the
experimental probability of getting tails?
4) Find the theoretical probability of the spinner landing on an odd number.
5) You have black, blue, and white t-shirts in your closet. If the probability of picking
a black t-shirt is 1/3 and the probability of picking a blue t-shirt is 1/2, what is the
probability of picking a white t-shirt?
6) Each of the hats shown below has colored marbles placed inside. Hat A
contains five green marbles and four red marbles. Hat B contains six blue
marbles and five red marbles. Hat C contains five green marbles and five blue
marbles.
If a student were to randomly pick one marble from each of these three
hats, determine from which hat the student would most likely pick a green
marble. Justify your answer.
7) Draw a box and whisker plot for the following set of data:
13, 15, 17, 20, 25, 23, 18, 21, 18, 22, 22, 14, 15, 22, 26, 25
8) What is the mean, median, mode and range of the following set of data:
2, 5, 8, 14, 1, 7, 13, 5, 4, 7, 2, 6, 3, 9, 25, 9, 10, 12, 11, 2, 1, 0
9) What is the outlier of the above set of data?
10) Calculate the mean, median, mode and range of the set of data without the outlier?
11) Write a few sentences describing the effect that the outlier has on the measures of central
tendency for the set of data in #8.