#### Solved Examples and Worksheet for Making Inferences from Data of Two Populations

Q1The total investment and the total revenue on four projects done by a company are represented in the bar graph. What is the total revenue earned by all the projects? A. $50 million B.$100 million
C. $160 million D.$150 million

Step: 1
In the graph, the revenues earned by the company on the projects are represented by the blue colored bars.
Step: 2
So, the height of each blue colored bar indicates the revenue of a particular project.
Step: 3
The revenues earned by the projects A,B,C and D are $30 million,$40 million, $30 million and$60 million respectively.
[The heights of the bars representing the revenue of each project.]
Step: 4
The total revenue earned by all the projects = 30 + 40 + 30 + 60 = $160 million. [Add all the revenues.] Step: 5 So, the total revenue earned by the company on all the projects is$160 million.
Correct Answer is :   $160 million Q2The total investment and the total revenue from four projects done by a company are represented in the bar graph. What is the total profit earned by the company from all the projects? A.$50 mil
B. $100 mil C.$160 mil
D. $60 mil Step: 1 Profit made by the company = revenue - investment [Formula for the profit.] Step: 2 Profit made by the company from the project A = 30 - 10 =$20 mil
[From the graph, revenue on project A is $30 mil and investment is$10 mil.]
Step: 3
Profit made by the company from the project B = 30 - 25 = $5 mil [From the graph, revenue on project B is$30 mil and investment is $25 mil.] Step: 4 Profit made by the company from the project C = 30 - 20 =$10 mil
[From the graph, revenue on project C is $30 mil and investment is$20 mil.]
Step: 5
Profit made by the company from the project D = 55 - 30 = $25 mil [From the graph, revenue on project D is$55 mil and investment is $30 mil.] Step: 6 Total profit made by the company = 20 + 5 + 10 + 25 =$60 mil
Correct Answer is :   \$60 mil
Q3The double line graph shows the number of cars manufactured by two different companies. Find the difference between the number of cars manufactured by the two companies in the year 1996. A. 20
B. 30
C. 0
D. 10

Step: 1
The height of each point on the line graph represents the number of cars manufactured by a particular company in the corresponding year.
Step: 2
From the graph, the number of cars manufactured by C1 in the year 1996 is 460 and the number of cars manufactured by C2 in the same year is 450.
Step: 3
So, the difference between the number of cars manufactured by the two companies in the year 1996 = 460 - 450 = 10
[Subtract 450 from 460.]
Q4The double line graph shows the points scored by Tom's team and Jack's team in 6 Basketball matches. How many more points did Tom's team score than Jack's team in the 5th match? A. 4
B. 5
C. 2
D. 3

Step: 1
The height of each point in the double line graph represents the number of points scored by each team in each match.
Step: 2
From the graph, Tom's team scored 29 points in the 5th match and Jack's team scored 26 points.
Step: 3
Difference between the points scored by the two teams in the 5th match = 29 - 26 = 3.
Step: 4
So, Tom's team scored 3 more point(s) than Jack's team in the 5th match.
Q5The double bar graph shows the number of bags sold by two stores A and B during four months. In which month were the sales of store A and store B equal? A. May
B. June
C. August
D. July

Step: 1
From the graph, the sales of store A and store B are equal in the month of August.
Q6The number of students, who got admissions into four different universities in the year 1993 and 1994 are plotted in the bar graph. Which university has maximum admissions in the year 1994? A. Q
B. S
C. P
D. R

Step: 1
The height of each bar in the graph indicates the number of students admitted in the particular university in a particular year.
Step: 2
From the bar graph, the height of the bar for the year 1994 is maximum at the university R.
Step: 3
So, the university R has maximum admissions in the year 1994.
Q7Paula has a collection of toy cars. Which bar graph would correctly represent the number of cars, if the cars were sorted based on their color? A. Graph-1
B. Graph-2

Step: 1
The figure consists of set of different colored toy cars.
Step: 2
Counting toy cars based on their color.
Red color toy cars - 6
Green color toy cars - 6
Yellow color toy cars - 4
Step: 3
The Graph-1 represents the data correctly.
Q8The double bar graph indicates the production of a pharmaceutical company during each quarter of 2000 and 2001.Which quarter of the year 2001 has maximum production of capsules? A. 2nd quarter
B. 1st quarter
C. 4th quarter
D. 3rd quarter
E. 3rd quarter and 4th quarter

Step: 1
From the double bar graph, the highest bar representing the production of capsules in 2001 is during the 3rd quarter.
Step: 2
So, production of capsules is maximum in the year 2001 is during the 3rd quarter.
Correct Answer is :   3rd quarter
Q9The double bar graph indicates the production of a pharmaceutical company during each quarter of 2000 and 2001. Which quarter has maximum difference in the production of capsules in the years 2000 and 2001? A. 3rd quarter
B. 4th quarter
C. 2nd quarter
D. 1st quarter
E. 3rd quarter and 4th quarter

Step: 1
From the double bar graph, the biggest difference is 4 tons in quarters 3 and 4.
Step: 2
The maximum difference in the production of capsules in the years 2000and 2001 is during the quarters 3 and 4.
Correct Answer is :   3rd quarter and 4th quarter
Q10The double bar graph indicates the production of a pharmaceutical company during each quarter of 2000 and 2001. What is the difference between the total production of capsules in the year 2000 and 2001? A. 1 ton
B. 22 tons
C. 4 tons
D. 40 tons
E. 2 tons

Step: 1
From the double bar graph, the production of capsules during first, second, third and fourth quarters of the year 2000 are 2, 7, 4, 8 respectively and in the year 2001 are 3, 5, 8, 4 respectively.
Step: 2
Total production in the year 2000 = 2 + 7 + 4 + 8 = 21 tons
Step: 3
Total production in the year 2001 = 3 + 5 + 8 + 4 = 20 tons
Step: 4
The difference between the total production of the two years = 21 - 20 = 1 ton.
Correct Answer is :   1 ton
Q11The bar graph shows the number of flower shows arranged each month from January to August. Using the graph, find the difference between maximum and minimum number of flower shows. A. 8
B. 12
C. 6
D. 10

Step: 1
Lloking at the graph,
the maximum amount of 12 was in February and the minimum amount of 2 happened in March.
Step: 2
So, the difference is 10.
[12 - 2 = 10.]