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​What is the average number of boys studying in all the four courses in the year 2017?
Question

​The table given shows me total number of students of a college and the number of girls who are studying in four different courses — Data science. Cloud computing. Statistics and Image processing in 3 different years. 

Year/Courses

2016

2017

2018

Total number of students

Total number of girls

Total number of students

Total number of girls

Total number of students

Total number of girls

Data science

800

500

900

450

760

400

Cloud computing

1600

400

1800

1000

1500

700

Statistic

1400

600

1500

700

1040

400

Image processing

1200

600

1300

600

800

200


​What is the average number of boys studying in all the four courses in the year 2017?

A.

​734.5

B.

​687.5

C.

​492.5

D.

​586.5

Correct option is B

Concept Used:

Number of boys = Total students - Total girls

Average number of boys=Total boysno of course\text{Average number of boys} = \frac{\text{Total boys}}{\text{no of course}}​​

Solution:

The number of boys for each course

1. Data Science (2017)

Total students = 900 , Total girls = 450

Number of boys = 900 - 450 = 450

2. Cloud Computing (2017)

Total students = 1800 , Total girls = 1000

Number of boys = 1800 - 1000 = 800

3. Statistics (2017)

Total students = 1500 , Total girls = 700

Number of boys = 1500 - 700 = 800

4. Image Processing (2017)

Total students = 1300 , Total girls = 600

Number of boys = 1300 - 600 = 700 

Now, 

Total boys = 450 + 800 + 800 + 700 = 2750  

Average number of boys=27504=687.5\text{Average number of boys} = \frac{2750}{4} = 687.5 

The average number of boys studying in all four courses in the year 2017 is 687.5.

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