# MATHS PAPER

###### Contrast theories, evidence, beliefs, and biases
December 12, 2018
###### THE APOLOGY OF SOCRATES
December 16, 2018

Chapters 1-3 & 5 Worksheet

Read each question carefully and follow all instructions exactly. Correct answers withoutadequate supporting work will not receive full credit, so show work whenever possible. Itis likely that you will do some work using commands on your graphing calculator. Whenyou do, write a brief description of what you did like “data in L1, 1-Var Stat”.Put all work and answers in the indicated spaces on the answer sheet provided. Be sureyour final answer is clear (boxed or circled). When graphing USE A RULER!

1. The data below are the colors of cars that came through the Starbuck’s drive-thru

between 9am and 10am on a particular day.

white       black             silver            blue        green

blue        black             white             silver            blue

silver            green             red         black             white

green       white             white             black       silver

silver            white             black       blue       white

a. Identify the mode of the data set

b. Make a frequency distribution table for this data

c. Draw a bar graph representing the data

2. Assume the data set {65, 78, 82, 95, 71, 88, 90, 98, 73, 84, 90, 77} gives the scores

earned by a random sample of 12 students on the first Algebra quiz.

a. Compute the mean (¯x) for this set of sample data

b. Compute the standard deviation (??) for this set of sample data

3. Assume the data set {65, 78, 82, 95, 71, 88, 90, 98, 73, 84, 90, 77} gives all of John

Doe’s quiz grades in his Algebra class.

a. Compute the mean (??) for this set of population data

b. Compute the standard deviation (??) for this set of population data

4. Professor Salt and Professor Pepper each taught a section of Math 12 last semester.

Prof. Salt’s final exam had a mean of 91 and a standard deviation of 7.3. Prof.

Pepper’s final exam had a mean of 119 and a standard deviation of 13.4. Dan scored

92 on Prof. Salt’s final exam and his girlfriend Sue scored 131 on Prof. Pepper’s final

exam.

a. Compute Dan’s z-score.

b. Compute Sue’s z-score.

c. Using the z-scores computed above, discuss which student, Dan or Sue,

performed better on his/her Math 12 final exam.

5. The data below give the ages of all the girls who had their ears pierced at a local mall

kiosk on a recent Saturday.

{3, 6, 10, 11, 12, 8, 7, 2, 3, 11, 3, 8, 7, 6, 3, 13, 15, 12, 10, 10 , 9, 35}

a. Find the 5-Number Summary for this data set.

b. Renee Ruiz was the 35-year old girl in the group. Is Renee’s age an outlier in

this data set? Explain how you know.

6. In a box there are 7 slips of paper each with a number {1, 2, 3, 4, 5, 6, 7} written on

it. You pull out two slips of paper (at the same time) and record the colors you get.

a. List the sample space (S) for this experiment.

b. Compute the probability of the event E = {3, 5}

c. Compute the probability of the event E = {not getting an odd number}

*Hint: you should be able to use your answer for part a to answer parts b & c

7. In order to win the game, Janet must roll a 6 on both of her next two turns. What it

the probability of rolling 6’s (on a single die) on two consecutive turns?

8. Compute both   and   (be sure to label which is which) AND then explain thedifference in what these two things calculate.

9. The data set below shows the hourly wage data collected from a random sample of

Delta College students in 2009.

8.00        8.30        8.40        12.50             15.00             9.50

9.50        9.00        10.00             8.50        10.25             8.25

10.00             11.00             8.50        14.10             10.50             9.50

8.90        8.00        20.00             25.00             8.00        9.70

8.00        9.60        9.00        27.00             9.00        11.75

a. Make a grouped frequency distribution table for this data with a \$3.00 class

width and the first class starting at \$7.00.

b. Draw a histogram representing this grouped data

Bonus: Write a word problem that could be solved by computing

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