College Math

College Math Study Guide

It is also possible that the data in the table is supplemented by some additional information and the information needs to be interpreted in the light of the data in the data table and the additional information. For example, a school requires all students to participate one sport (and only one sport). In each class, the ratio of girls to boys is 1:3. The data table below shows the number of students in each sport: Grade 8 Grade 9 Grade 10 Grade 11 Grade 12 Total Volleyball 8 8 8 4 4 32 Badminton 8 1 8 12 12 52 Table Tennis 12 16 12 8 12 60 Hockey 8 4 8 4 8 32 Football 8 8 12 12 12 52 Question: All the boys in Grade 11 passed in their examination while a few girls failed. The ratio of boys: girls who passed are 5:1, how many girls failed? Solution: The total number of students in Grade 11 is (4+12+8+4+12) 40. As the ratio of girls to boys is 1:3, then the number of girls is ¼*40 = 10. Then the number of boys in class is 30. Since all the boys passed, and the number of boys: girls who passed are in ratio of 5:1 then the number of girls who passed would be 1/6*30 = 5. Hence, the number of girls who failed is (10-5) = 5. Hence, by working with the data given in the data tables and the additional information, one can find the answers for many questions. 5.3 Bar Graph Bar graph represents the visual representation of collected data. The data are plotted on horizontal and vertical axes, and thereby, we have either horizontal or vertical bar graphs. Let us see how we can read each of these bar graphs.

©2018

Achieve

Page 86

of 120