Question bank: Data Representation

Dinosaurs are an endless source of fascination for children and adults, and paleontological discoveries often lead to research and statistical analysis. A group of scientists, after an excavation at an archaeological site, collected data on the dimensions of fossils from different dinosaur species found. They decided to represent this data in two ways: in a table with the averages of length and height for each species and in a bar graph, where the height of each bar corresponds to the average heights of the fossils and the width of the bars is proportional to the quantity of fossils of that height. If the table provides the average height and length for Tyrannosaurus Rex, Triceratops, and Diplodocus, being 12m and 6m for Tyrannosaurus, 8m and 3m for Triceratops, and 25m and 4m for Diplodocus, respectively, and the bar graph shows Tyrannosaurus with a bar of height 4 cm and width 10 cm, Triceratops with height 3 cm and width 10 cm, and Diplodocus with height 7 cm and width 10 cm, determine which of the two representations provides more details about the variation in dimensions of the fossils among the different dinosaur species.

A class has 10 students and the grades on the math test were: 6, 7, 7, 8, 9, 10, 3, 5, 7, 6. What was the highest grade in the class?

In the graph below, the classes of the 6th grade of a school are represented. How many classes does this school have?

A school wants to conduct a study on the reading habits of its 6th-grade students. Data on the number of books read by each student in a month were collected. The numbers of books read range from 1 to 10. However, upon analyzing the data, it was noticed that for some students, the number of books read did not accurately reflect how often they read, as some of them only read during weekends. For these students, the following rule was adopted: if the student only read on weekends, the number of books read in a month was considered to be 4 times the number of books read in a weekend. Based on this information: 1. Create a table representing the collected data, including the rule adopted for students who only read on weekends. 2. Develop a bar graph showing the distribution of the total number of books read by students, considering the rule for those who only read on weekends. 3. Discuss the importance of choosing the correct data representation for statistical analysis, taking into account the specific situation of students who only read on weekends and how this can affect the interpretation of the study results.

During the Cultural Fair of the school, the 6th grade students conducted a survey to find out the favorite popcorn flavor among the event's visitors. The offered flavors were: plain, sweet, salty, and caramel. After collecting the responses, they want to present the data in a bar graph. a) Identify the variables of this survey and their frequencies. b) List the elements necessary to create an appropriate bar graph (title, axes, legends, sources, and dates). c) How would you organize the collected data in a bar graph to facilitate the understanding of the visitors' preferences?