Question 1 Indicate whether the question is one of statistics. Explain. What number of songs does your MP3 player have? Answer 1 A statistical question is one where you can expect to get a variety of answers, not one single answer. The purpose of asking statistical questions is to study the distribution (such as the range) and tendency (such as the median and mean) of the answers. While the number of songs on your MP3 player is one specific value, if multiple people are asked this question, you would get a variety of answers, such as 140, 90, 260, etc. The question is then a statistical question. An example of a question that would not be statistical could be: "How many inches are in 1 foot?" This question has 1 correct answer of 12 inches so no matter how many people you ask, you would expect to get the same answer of 12 inches. Question 2 2 3 × 3 3 2 3 ×3 3 Answer 1 2 3 = 2 × 2 × 2 = 4 × 2 = 8 and 3 3 = 3 × 3 × 3 = 9 × 3 = 27 2 3 =2×2×2=4×2=8and3 3 =3×3×3=9×3=27 Therefore, 2 3 × 3 3 = 8 × 27 = 216. 2 3 ×3 3 =8×27=216. You could also find the value using the Power of a Product Rule ( 𝑎 𝑏 ) 𝑚 = 𝑎 𝑚 × 𝑏 𝑚 (ab) m =a m ×b m : 2 3 × 3 3 = ( 2 × 3 ) 3 = 6 3 = 6 × 6 × 6 = 36 × 6 = 216. 2 3 ×3 3 =(2×3) 3 =6 3 =6×6×6=36×6=216. Question 3 Dairy Queen offers two types of cones, twelve flavors of ice cream, and six different toppings. What is the greatest number of ice cream combinations you could order with one type of cone, one flavor, and one topping? Answer 1 By the Fundamental Counting Principle, the number of ice cream combinations is the product of different choices: ( cone type ) × ( flavor ) × ( topping ) (cone type)×(flavor)×(topping) = 2 × 12 × 6 = 144. =2×12×6=144.