In data interpretation, we are given data in the form of visuals, like table, graph, chart, etc. and a set of questions that follow. Mainly, they use percentages and ratio and proportion.
Here, we discuss some commonly asked types of questions.
Question : The following table contains the data of train arrival and train departure from a station. Study the table and answer the questions that follow :
a) Find the number of trains that arrived late
b) Find the number of trains that departed late
c) Find the percentage of late arriving trains
a) Number of trains arriving late = 114 + 31 + 5 = 150
b) Number of trains departing late = 82 + 5 + 3 = 90
c) Percentage of late arriving trains = (150 / 1400) x 100 = 10.71 %
Question : Study the following bar graph and answer the questions that follow :
Total monthly income = Rs. 50,000
a) What amount is spent on food ?
b) How much more money is spent on clothing and housing together than on transportation?
c) What percent of amount on food is spent as amount on education?
a) Food = 20 % of expenditure
=> Amount spent on food = 20% of 50,000 = Rs. 10,000
b) Money spent on clothing and housing together = 25 % of Rs. 50,000 = Rs. 12,500
Money spent on transportation = 20 % of Rs. 50,000 = Rs. 10,000
Therefore, more money spent on clothing and housing together than on transportation = Rs. 12,500-10,000 = Rs. 2,500
c) Expenditure on food = 20 %
Expenditure on education = 5 %
Therefore, percent of amount on food spent as amount on education = (5 / 20) x 100 = 25 %
Question : Study the pie chart below and answer the questions that follow :
The above pie chart shows the sales of four different types of articles in a shop.
a) What is the central angle of type A ?
b) If the total sales is 1200, what is the sales of B ?
c) What is the difference between the central angle of C and D ? Solution :
a) Central angle of A = Percentage of A x 360 degrees = (35 / 100) x 360 = 126 degrees
b) Sales of B = 20 % of 1200 = 240
c) Difference between the central angle of C and D = 40 % of 360 – 5 % of 360 = 35 % of 360 = 126 degrees