Data Management
MDM4U Final Exam REVIEW
**This review is a supplement only. It is to be used as a guide along with other review.
Chapter 1
1. The circle graph shows the relative size of each grade (9, 10, 11, and 12) in a high school.
(a) If the school has 900 students in all, calculate the number of students in each grade.
(b) Construct a new circle graph to show how the percent of Grade 9 students rose by 10% and the percent of Grade 11 students fell by 10% the following year. Compare graphs.
2. Analyze the following box-and-whisker plot. What are the median value for the whole sample, the median values for each half, and the range?
3. Students in Mrs. Singh’s math class were asked if they can watch television and do math homework at the same time. According to the results shown on the right, are males or females more likely to think they are able to do this? Explain. (The darker area represents Males)
4. Dexter is 45 years old and 181 cm tall. For the last 8 years, his doctor has charted Dexter’s mass and related it to his BMI (Body Mass Index). A BMI between 20 and 26 is considered healthy. The data is shown in the following table.
Mass(kg)62 72 66 79 85 82 92 88
BMI 19 22 20 24 26 25 28 27
(a) Create a scatter plot for the data.
(b) Describe any trends in the data. Explain.
(c) Construct a median–median line for the data. Write a question that requires the median– median line to make a prediction.
(d) Determine the equation of the median–median line that you constructed.
(e) If Dexter’s mass was 83 kg in the ninth year, what do you predict would be his BMI?
(f) In which year(s) was Dexter’s BMI outside of the “healthy zone”?
(g) Dexter’s friend Chandra is 167 cm tall. If she had the same mass, how do you think her graph would differ from Dexter’s? Explain.
Chapter 2
1. For each of the scenarios below, (i) determine the population, (ii) create a suitable thesis question, (iii) identify the key
**This review is a supplement only. It is to be used as a guide along with other review.
Chapter 1
1. The circle graph shows the relative size of each grade (9, 10, 11, and 12) in a high school.
(a) If the school has 900 students in all, calculate the number of students in each grade.
(b) Construct a new circle graph to show how the percent of Grade 9 students rose by 10% and the percent of Grade 11 students fell by 10% the following year. Compare graphs.
2. Analyze the following box-and-whisker plot. What are the median value for the whole sample, the median values for each half, and the range?
3. Students in Mrs. Singh’s math class were asked if they can watch television and do math homework at the same time. According to the results shown on the right, are males or females more likely to think they are able to do this? Explain. (The darker area represents Males)
4. Dexter is 45 years old and 181 cm tall. For the last 8 years, his doctor has charted Dexter’s mass and related it to his BMI (Body Mass Index). A BMI between 20 and 26 is considered healthy. The data is shown in the following table.
Mass(kg)62 72 66 79 85 82 92 88
BMI 19 22 20 24 26 25 28 27
(a) Create a scatter plot for the data.
(b) Describe any trends in the data. Explain.
(c) Construct a median–median line for the data. Write a question that requires the median– median line to make a prediction.
(d) Determine the equation of the median–median line that you constructed.
(e) If Dexter’s mass was 83 kg in the ninth year, what do you predict would be his BMI?
(f) In which year(s) was Dexter’s BMI outside of the “healthy zone”?
(g) Dexter’s friend Chandra is 167 cm tall. If she had the same mass, how do you think her graph would differ from Dexter’s? Explain.
Chapter 2
1. For each of the scenarios below, (i) determine the population, (ii) create a suitable thesis question, (iii) identify the key