Creating Math Quiz - Coursework Example

Instructions:


• The quiz is worth 100 points.  There are 10 problems, each worth 10 points.  Your score on the quiz will be converted to a percentage and posted in your gradebook with comments.
• This quiz is open book and open notes, and you may take as long as you like on it provided that you submit the quiz no later than the due date posted in our course schedule of the syllabus.  You may refer to your textbook, notes, and online classroom materials, but you may not consult anyone.
• You should show all of your work to receive full credit.  If you do not show work, you may earn only partial or no credit at the discretion of the professor.  
• Please type your work in your copy of the quiz, or if you prefer, create a document containing your work.  Scanned work is also acceptable.  Be sure to include your name in the document.  Review the instructions for submitting your quiz to the assignment folder.  Please note quizzes will not be accepted once the key has been released.  
• If you have any questions, please contact me by e-mail



Please remember to show ALL of your work on every problem.


Use the data to construct a frequency distribution.
1) A car insurance company conducted a survey to find out how many car accidents people had been involved in. They selected a sample of 32 adults between the ages of 30 and 70 and asked each person how many accidents they had been involved in the past ten years. The following data were obtained.


 


Construct a frequency distribution, letting each class have a width of one.


Frequency distribution for the number of accidents


Number of accidents Tally Frequency Relative Frequency
0 |||| |||| 1 11 11/32 = 0.34375
1 |||| |||| 10 10/32 = 0.3125
2 |||| 5 5/32 = 0.15625
3 ||| 3 3/32 = 0.09375
4 || 2 2/32 = 0.0625
5 | 1 1/32 = 0.03125
Sum 32 1


Construct a stem and leaf display for the given data.
2) Here are the final scores for the last 16 games played by the local basketball team.


 


Stem and Leaf plot for Final Score


Stem unit = 10
Leaf unit = 1


Stem Leaf
4   5
5   3 4 7 9
6   5 5 7 7
7   4 5 5 9
8   6 7 7






 
Construct a histogram of the given frequency distribution.
3) The frequency distribution indicates the number of speeding tickets for each person in a group of 1140 drivers. 
 


Histogram of the number of speeding tickets for each person


 


Use the circle graph to solve the problem.
4) The circle graph below gives the number of residents in the residence halls at the state university.
 
Write the ratio as a fraction in the lowest terms of the number of residents at Adams to the number of students at Dodge.


Let X denote the ratio of the number of residents at Adams to the number of students at Dodge. Therefore,


X =  




Solve the problem.
5) If an investor purchased 50 shares of Pearson Education stock at $85 per share, 90 shares at $105 per share, 120 shares at $110 per share, and another 75 shares at $130 per share. What is the mean cost per share?


The mean cost per share is


Mean =  






Find the median of the set of data.
6) 11, 28, 38, 57, 60, 62, 80


Median =   th value =   th value = 4th value = 57




Find the mode or modes for the set of numbers.
7) 86, 57, 32, 57, 29, 86


Modes = 57 and 86


Rank the data from lowest to highest and determine the requested quartile.
8) The following scores on the midterm exam in a math class were recorded.


  




Rearranging data in ascending order (lowest to highest)


59 60 61 62 63 66 69 71 72 74
76 77 78 80 81 81 82 83 83 84
86 88 89 91 93 94 95 96 97 98




Find the 3rd quartile, Q3.


Q3 =  th value =  th value = 23.25th value


Q3 =  




Solve the problem.
9) Find the range and the standard deviation of the following voltages (in volts) of a sample of watch batteries: 1.212, 1.199, 1.201, 1.202, 1.199, 1.198.


Range = Maximum – Minimum = 1.212 – 1.198 = 0.014


Mean,  
Sample standard deviation,  




xi  
 


1.212 0.010167 0.000103
1.199 -0.002833 0.000008
1.201 -0.000833 0.000001
1.202 0.000167 0.000000
1.199 -0.002833 0.000008
1.198 -0.003833 0.000015
Sum 7.211 0.000000 0.000135




Solve the problem.
10) If a baseball player has a batting average of 0.420, what is the probability that the player will get at least 2 hits in the next four times at bat?


This is an example of Binomial Distribution.


P(x ≥ 2) = P(2) + P(3) + P(4) ≈ 0.3560 + 0.1719 + 0.0311 ≈ 0.5590


Alternately,


 P(x ≥ 2) = 1 – P(x < 2) = 1 – P(0) – P(1) ≈ 1 – 0.1132 – 0.3278 ≈ 1 – 0.4410 ≈ 0.5590 Read More