College Math

College Math Study Guide

5.2 Data Tables Using data tables, data can be represented in a form of tabular representation. Tables can be single or multiple with horizontal rows and vertical columns. The data corresponding to each cell corresponds to its unique row and column. An instance of the data table is given here: Car Sales (in millions) Year Hyundai General Motors Mercedes Honda 2012 50 76 43 67 2013 54 74 48 73 2014 57 69 55 69 In the above table, we are given the sales statistics of four car models for three consecutive years. From this data table, we can find, analyze, and interpret the following information: 1. Sales of one model compared to another in a given year. 2. Percentage change in the sale of one model for different years. For example, the sale of Hyundais increased by 8% in 2013 as compared to 2012, as shown in the following formula: Change in 2013 = (Sales in 2013 – sales in 2012)/ (sales in 2012)*100 = (54-50)/50*100 = 8% 3. Comparison of rate of growth in sales for different models. For example, Hyundai sales increased by 5.55%, while that of General Motors and Honda fell, and Mercedes witnessed maximum growth of about 14.58% in 2014 as compared to previous year. These figures are computed as follows: Growth in 2014 = (Sales in 2014- 2013)/ Sales in 2013*100 For Hyundai = (57-54)/54*100 = 5.55% For General Motors = (69-74)/74*100 = -6.75% For Mercedes = (55-48)/48*100 = 14.58% For Honda = (69-73)/73*100 = -5.48% 4. Overall growth in sales for all models in different years. 5. For each model, find out which year witnessed maximum growth or determine the trend of sales.

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