MA419SP- Data Collection and Representation- Mathematics Assessment Task

Assignment Task:

MA4-19SP: Data Collection and Representation- Dice World - Mathematics Assessment Task 

Task 1:

Roll 2 dice 20 times each (or one dice 40 times) and record your results in the table below in the lines for Dice A and Dice B. 
Finish the table by completing the last three rows, using the instructions embedded in the questions throughout the assignment

Task 2: 

Ques1:

List 20 two-digit numbers using Die A numbers as the tens digit and Die B numbers as the units digit. 
Record these numbers in the table above. 

• Use just the results from Die A to construct a frequency histogram. 
• Construct a divided bar graph using these two-digit numbers.     

Ques 2:

Using the Double Bubble Map below, Compare the shape of the frequency histogram in Q1 and the stem-and-leaf plot in Q2.     
Be sure to address each/all of the filters listed below (i.e. keep the characteristics relevant to the listed filters)

Question 3: 
a)    Calculate the probabilities for the single number (Die A) with the highest frequency and the double-digit number with the highest frequency. 
Give your answer as a fraction and a percentage.                                                 
Single Numbers: P(      )  =                    =                 %
Double Digit Numbers: P(     ) =                =                 %

b)    Calculate the probabilities for the single number (Die A) with the lowest frequency and the double-digit number with the lowest frequency. 
Give your answer as a fraction and a percentage.                                                 

Single Numbers: P(      )  =                    =                 %
Double Digit Numbers: P(     ) =                =                 %

c)    Predict what the frequency histogram may look like if we throw the dice another twenty times and record our results.

Question 4: 

a)    Complete the below strengths and weaknesses analysis for the Frequency Histogram and Stem and Leaf Plot: 

b)    Recommend which of the two data displays best displays the results that you collected.

Question 1

• Add the numbers for each Dice together (dice A digit + dice B digit), recording the results in the table above (Task 1). 
• Multiply the numbers for each Dice together (dice A digit x dice B digit), recording the results in the table above (Task 1).
• Compare the dot plots from Q1 a) and b).                                                         

Be sure to address each/all of the filters listed below (i.e. keep the characteristics relevant to the listed filters)

Question 2: 
a)    Suggest two reasons for any similarities/differences you found when comparing your dot plots.     
b)  

      List the sample space for adding the numbers on our dice. Use a table to help you..     

Rank the outcomes in order of frequency from Highest to lowest. State their probability as a fraction and a percentage    

List the theoretical results and then your experimental results and compare them (using 3-4 sentences)

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