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.

**Tables**

**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

**Solution** :

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 %

**Bar Graph**

**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?

**Solution** :

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 %

**Pie Chart**

**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

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