Problem 1. Circle the right Answer.

a. 50% is a _____ Parameter or Statistics

b. 20% is a _____ Parameter or Statistics

c. 1020 is _____ Quantitative or Categorical

d. 736 is _____ Quantitative or Categorical

e. The number of times _____Continuous or Discrete

Problem 2. At a recent chess tournament, all 15 of the participants had to fill out a form that gave their names, address and age. The ages of the participants were recorded as follows: 36, 48, 54, 92, 57, 63, 66, 76, 66, 80, 82, 65, 39, 77, and 45.

2a) Use the data to construct a frequency table? Show all your steps.

Classes Class Boundaries Midpoint Frequency Cumulative Frequency

2b) Draw the frequency histogram with 3 classes ?

Problem 3. The list gives the durations, in years, of the top 20 longest-running Canadian television shows.

18 20 38 19 22 23 23 27 36 18

18 18 20 25 18 24 24 33 25 25

Construct a stem-and-leaf plot for the above data set ?

Problem 4. Consider the following data set.

20 25 18 24 24 33 25 28 24 24

4a) Find the mean?

4b) Find the median?

4c) Find the mode?

Problem 5. Consider the below table.

x Frequency f

-5 6

-3 4

0 2

4 3

6 5

5a) Find the mean ? Show all your steps. Do not round off.

5b) Find the variance ? Show all your steps. Do not round off.

Problem 6. Consider the below table

Class Frequency

0-50 10

51-101 20

102-152 30

153-203 40

204-254 50

6a) Find the mean? Show all your steps. Round off mean to only 2 decimal places.

6b) Find the variance? Show all your steps. Use the mean you found in the above problem 6a). Round off to two decimal places, your final answer for variance.

6c) Find the standard deviation? Show all your steps. Round off to two decimal places, your final answer for standard deviation.

Problem 7. For the set of data below,

5, 3, 8, 6, 1, -10, 3, 9, 7, 4, 2

7a) Determine the 5 point summaries? Show all your steps.

7b) Construct the box and whisker plot ? Show all your steps.

7c) Find if there are any outliers? Justify your answer. Show all your steps.

Problem 8. An emergency service wishes to determine whether a relationship exists between the outside temperature and the number of emergency calls it receives for a 7-hour period. The data are shown.

Temperature x No. Of calls y

25 7

10 4

27 8

30 10

33 11

8a) Find the correlation coefficient r ? Show all your steps. Do not round off.

8b) Find the regression equation? Show all your steps.

Problem 9. You toss a fair coin 4 times

9a) Write the probability experiment?

9b) Write the sample Space for the above probability experiment? Show all your steps. (3)

9c) What is the probability of getting at most 2 heads? Show all your steps.

9d) What is the probability of getting at least 3 tails? Show all your steps.

Problem10. There are total 100 senator. Consider the below table

Democrat Republican Independent Total

male 35 43 2 80

female 16 4 0 20

total 51 47 2 100

a) If we randomly select one senator, What is the probability that a male select? Show all your steps.

b) If we randomly select one senator, what is the probability that a female is selected? Show all your steps.

c) If you randomly select one senator what is the probability that a female and Democrat is selected? Show all your steps.

d) If you randomly select one senator what is the probability of selecting an independent given that it was a male? Show all your steps.