Student ID: 20188023 Name: Puruvansh Ohri "This is my own work. I have not copied any of it from anyone else." STA1DCT Data Based Critical Thinking Assignment 1 1. The last Australian Household Census was held on the 9th of August, 2016. Below are snapshots of questions taken from the Census Form. The number to the left of the question is the question number as it appeared in the form. 3. Is the person male of female? 32. For each female, how many babies has she ever given birth to? 6. What is the person's present marital status? For a randomly selected individual, let X denote the response to Question 3, Y denote the response to Question 32 and Z denote the response to Question 6. Consider the below statements, each identified by a letter (i.e. 'A, 'B' etc.) To successfully answer this question, provide the letter(s) identifying ALL correct statements. You will get zero marks for this question if you (i) do not identify all of the correct statements or (ii) include a statement that is incorrect. A. Y is a quantitative variable. B. Z is a categorical variable. C. X and Y are both categorical variables. D. Y and Z are both quantitative variables. E. X, Y and Z are all categorical variables. F. X is a categorical variable and Y is a quantitative variable. G. None of the above statements are correct. ANS 1: THE CORRECT STATEMENTS ARE: - A, B, F. 2. Very big numbers can be difficult to write down. However, using scientific notation (or exponential notation) can make this much easier. Let us consider a simple example. Note that 102 = 10×10 = 100 and 7×100 = 700. Therefore we can write 700 = 7 x 100 = 7 x 102. Writing 700 as 7×102 is known as writing 700 using scientific notation. Similarly, we can write 3,000 = 3×103 and 3,500 = 3.5 x 103. Now, complete the following questions on the next page. (a) Some scientists claim that the number of stars in the universe is around 50,000,000,000,000,000,000,000. Ans 2(a): 5 x 10000000000000000000000 = 5x1022
Name: Puruvansh Ohri Student ID: 20188023 (b) Now, enter the number in part (a) in its long form (i.e. the '5' followed by all the zeroes) into an empty Excel worksheet cell and hit ENTER. Write down exactly what is now stored in that cell (this is how Excel represents numbers using scientific notation). NOTE: To ensure that you will be provided with the number you have entered in scientific form (that is, displayed using scientific notation) do the following (i) right-click, using the mouse, on the cell you entered the number into (ii) select Format Cells ... (iii) then click on the Number tab, select Scientific and press OK. 5.00E+22 Ans 2(b): (c) The approximate number of atoms in the observable universe can be written down as the number 1 followed by 80 zeroes. Write down this number using scientific notation. (1 mark) Ans 2(c): 1