1. Consider a class of 30 students in a data management class. Which is an example of an attribute?(two marks) A the mark obtained by each student in the C the height of each student class B the average class mark D all of the above 2. An example of a discrete distribution is(two marks) A the number of goals scored in each game C the volume of gasoline in the tank of a car. by a hockey player. B the time required to ride the subway to D the body mass of kittens at an animal work each day. shelter. 3. An example of a continuous distribution is(two marks)A the number of pepperoni slices on each C the number of speeders caught in a radar pizza sold by a pizzeria. trap each day. B the weights of firefighters at a fire station. D the number of coins in the pocket of each student in a class. 4. Which statement is true for a uniform distribution?(two marks) A Outcomes near the middle of the C All outcomes are equally likely. distribution are more likely than outcomes far from the middle B The left side of the distribution is not D The probability of an outcome is read by symmetric with the right side. determining the value of the function at a single point on the graph. 5. Which statement is true for a normal (two marks) A Outcomes near the middle of the C All outcomes are equally likely. distribution are more likely than outcomes far from the middle. B The left side of the distribution is not D None of the above. symmetric with the right side about the centre. 6. The z-scores for a normal distribution(two marks) A follow a uniform distribution. C have a mean of 1 and a standard deviation of 0. B follow a normal distribution. D B and C.7. A z-score measures(two marks) A the probability that a particular value of C how many standard deviations a value lies the variable will occur. from the mean. B the spread of data around the mean. D how many standard deviations a value lies from the median.Match the correct term to each of the following descriptions. A term may be used more than once or not at all. discrete E frequency histogram B continuous F frequency polygon C uniform distribution G normal distribution D attribute 1. A quality or characteristic given to a person, group, or object. 2. A graph with intervals on the horizontal axis and frequencies on the vertical axis. 3. A distribution in which any value has the same probability of occurring, 4. A segmented line that joins the midpoints of the top of each column in the frequency histogram. 5. A type of variable that can take on any value 6. A type of variable that can take on only specific values, often whole numbers.Match the correct term to each of the following descriptions. A term may be used more than once or not at all. A mean D normal distribution B standard deviation E relative frequency C z-score normal cumulative distribution 7. The number of standard deviations that a value lies from the mean. 8. The sum of a set of values divided by the number of values. MDM4U Lesson Assignment Page 3 9. A probability distribution around a central value, dropping off symmetrically to the right and left, forming a bell-like curve. 10. How often an outcome occurs divided by the number of outcomes, 11. A measure of variation from the mean.1. Ted's Tuxes rents suits for formal dances. The store developed a grade 8 waist size probability table based on a sample of 200 customers, as shown. What is the expected number of rentals for waist sizes from 28 to 30 inches in the next 100 grade & customers? Waist Size (in.) Probability 26-28 0.045 28-30 0.595 30-32 0.315 32-34 0.045 (four marks)2. Five kittens in a litter each has a mass of 104 g, 96 g. 99 g, 90 g, and 87 g. What is the mean mass of the kittens?(three marks)3. The probability distribution for an aircraft spot landing contest is shown. What does the shaded area represent? Normal Distribution 5 10 15 20 25 Landing Position (m) (three marks)4. The owner of a restaurant collects data on the amount of chicken noodle soup sold each day. Suggest how he could do this using a discrete variable and a continuous variable.(two marks) 5. A litter of five kittens has a mean mass of 95.2 g and a standard deviation of 6.8 g. Determine the z-score for a mass of 110 g.(three marks)6. A mark of at least 50 is required to pass a course. The marks this year run from a low of 45 to a high of 83, with a mean of 64 and a standard deviation of 5. The professor would like all students to pass, so he adjusts the marks to achieve a mean of 72 with a standard deviation of 5. Is this enough to ensure that all students will pass?(five marks) 7. The high-IQ society Mensa admits those whose IQs are in the top 2% of the population. Since Mensa accepts results from different kinds of tests, including the SAT and the GRE, the usual practice is to calculate the z- score, multiply by 15, and add 100. What IQ would be assigned to a candidate who scored at the mean on the test? What IQ would qualify for admission to Mensa? (five marks)
