Unit 2 Final Assessment Statistics & Probability Show all steps clearly to receive full credit for your solutions. 1. Given the following data: 35 67 56 78 56 67 82 73 67 72 82 67 85, find the:

a) mean

b) median

c) mode

2. The average age of a university student was found to be 24 with a standard deviation of 2. What age group is within 2 standard deviations of the mean?

3. Given the following set of numbers, use the measures of central tendency and identify the type of distribution. Explain your answer. 70 67 75 60 67 65

4. Toss a coin 10 times and record how many times you tossed heads. a) What is your experimental probability of tossing heads?

b) What is the theoretical probability of tossing heads?

c) Compare the two probabilities and determine if you are considered to be "lucky" at tossing heads.

d) If you were to toss the coin 100 times, what would you expect the experimental probability of heads to be? Explain your answer.

5. What type of data is best displayed by each type of graph? a) Line graph

b) Circle graph

c) Histogram

6. Which central tendency is the most appropriate when analyzing data? a) The data is normally distributed. b) The data is qualitative. c) The data is skewed to the right.

7. There are 8 purple marbles and 6 red marbles in a jar. Brent reaches in and selects one marble. a) What are the odds in favour of Brent selecting a red marble?

b) What is the probability that Brent selects a red marble?

8. Given a deck of 52 playing cards, what is the probability of not selecting a face card (jack, queen, or king)?

9. What are the odds of choosing a spade from a standard deck of playing cards?

10. What is the theoretical probability of choosing a red card from a standard deck of playing cards?