## Introduction to Data Interpretation

#### Data Interpretation

Direction: Study the table and answer the questions:
The table given below shows the highest and average marks of a class in four subjects in four years. The maximum marks in each subject are 100.

1. What is the overall average of marks in the four subjects in the year 1995?

1. As per the given above table , we can see
Total average of marks in the four subjects in the year 1995 = 56 + 68 + 68 + 48 = 240
Number of given subjects = 4

 Required average of marks in 1995 = Total average of marks in the four subjects in the year 1995 Number of given subjects

##### Correct Option: D

As per the given above table , we can see
Total average of marks in the four subjects in the year 1995 = 56 + 68 + 68 + 48 = 240
Number of given subjects = 4

 Required average of marks in 1995 = Total average of marks in the four subjects in the year 1995 Number of given subjects

 Required average of marks in 1995 = 240 = 60 4

Direction: Study the following table and answer the questions based on it :

1. The percent increase in the gross profit was the maximum in which year as compared to the previous one?

1. According to given table, we have

 Percentage increase in the year 1992 = (149.9 - 134.3) ×100 134.3

 Percentage increase in the year 1992 = 15.6 × 100 = 11.6% 134.3

 Percentage increase in the year 1993 = (160.5 - 149.5) ×100 149.9

 Percentage increase in the year 1993 = 10.6 × 100 = 7% 149.5

##### Correct Option: D

According to given table, we have

 Percentage increase in the year 1992 = (149.9 - 134.3) ×100 134.3

 Percentage increase in the year 1992 = 15.6 × 100 = 11.6% 134.3

 Percentage increase in the year 1993 = (160.5 - 149.5) ×100 149.9

 Percentage increase in the year 1993 = 10.6 × 100 = 7% 149.5

 Percentage increase in the year 1994 = (203.3 - 160.5) ×100 160.5

 Percentage increase in the year 1994 = 42.8 × 100 = 26.6% 160.5

Note : It is not necessary to calculate percentage increase for every year. It can be inferred easily from the data given in the table.

1. Which years show increase in all categories simultaneously i.e., total sales, gross profit and net profit as compared to the previous year?

1. On the basis of given table in question ,
Total profit in 1992 = 380.1 lakhs
Total profit in 1993 = 439.7 lakhs
Total profit in 1994 = 485.9 lakhs ;
Gross profit in 1992 = 149.9 lakhs
Gross profit in 1993 = 160.5 lakhs
Gross profit in 1994 = 203.3 lakhs ;
Net Profit in 1992 = 38.9 lakhs
Net Profit in 1993 = 50.3 lakhs
Net Profit in 1994 = 65.8 lakhs

##### Correct Option: A

On the basis of given table in question ,
Total profit in 1992 = 380.1 lakhs
Total profit in 1993 = 439.7 lakhs
Total profit in 1994 = 485.9 lakhs ;
Gross profit in 1992 = 149.9 lakhs
Gross profit in 1993 = 160.5 lakhs
Gross profit in 1994 = 203.3 lakhs ;
Net Profit in 1992 = 38.9 lakhs
Net Profit in 1993 = 50.3 lakhs
Net Profit in 1994 = 65.8 lakhs
From above it is clear that 1993 and 1994 both years are required answer .

1. The total sales in 1993 is approximately what percent of the total sales of 1990?

1. According to given table, we have
Total sales in 1993 = \$ 439.7 lakhs
Total sales in 1990 = \$ 351.6 lakhs

 ∴ Required percentage ≈ 439.7 × 100 % 351.6

##### Correct Option: D

According to given table, we have
Total sales in 1993 = \$ 439.7 lakhs
Total sales in 1990 = \$ 351.6 lakhs

 ∴ Required percentage ≈ 439.7 × 100 % 351.6

 Required percentage ≈ 440 × 100 ≈ 125% 350

1. In which year the difference between the total sales and the gross profit is the least?

1. As per the given above table , we have
∴ Net Profit = total sales - gross profit
Net Profit in 1990 = 54.2 lakhs
Net Profit in 1991 = 42.6 lakhs
Net Profit in 1992 = 38.9 lakhs
Net Profit in 1993 = 50.3 lakhs
Net Profit in 1994 = 65.8 lakhs

##### Correct Option: A

As per the given above table , we have
∴ Net Profit = total sales - gross profit
Net Profit in 1990 = 54.2 lakhs
Net Profit in 1991 = 42.6 lakhs
Net Profit in 1992 = 38.9 lakhs
Net Profit in 1993 = 50.3 lakhs
Net Profit in 1994 = 65.8 lakhs
From above it is clear that the difference between the total sales and the gross profit is the least in the year 1990.