Data Interpretation Case Study

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data interpretation

Management college consists of 7200 students.
The ratio of boys to girls is 7:5, respectively. 

All the students are enrolled in six different specializations viz., MBA (Finance), MBA (IT), MBA (HR), MBA (Operations), MBA (Marketing) and MBA (Entrepreneur). 
22% of the total students are in MBA (Marketing). 
16% of the girls are in MBA (IT). 
18% of boys are in MBA (HR). 
Girls in MBA (Entrepreneur) are 30% of the girls in MBA (IT). 
15% of boys are in MBA (Finance).
Boys in MBA (IT) is 50% of the girls in the same. 
15% of the girls are in MBA (Operations). 
The ratio of the boys to girls in MBA (Entrepreneur) is 3:1 respectively. 
24% of the total numbers of students are in MBA (Finance). 
The ratio of boys to girls in MBA (Operations) is 12:5 respectively.

QUESTIONS

1) What is the total number of students enrolled in MBA (HR)?
a) 1062
b) 1530
c) 1584
d) 1728
e) 1800

2) The number of girls enrolled in MBA (Finance) forms approximately, what per cent of the total number of students in college?
a) 7%
b) 13%
c) 15%
d) 22%
e) 24%

3) What is the total number of girls enrolled in MBA (Marketing)?
a) 144
b) 306
c) 365
d) 480
e) 522

4) The number of boys enrolled in MBA (Operations) forms, what per cent of the total number of girls enrolled in MBA (IT)?
a) 187.5%
b) 200%
c) 212.5%
d) 225%
e) 232.5%

5) What is the total number of boys enrolled in MBA (Entrepreneur)?
a) 240
b) 432
c) 630
d) 756
e) 810

ANSWERS

1) Option – a; 1062

2) Option – c; 15%

3) Option – e; 522

4) Option – d; 225%

5) Option – b; 432

SOLUTIONS

Let’s try to find out the information from given data and formulate a table based on that.

Number of students in the college = 7200

Number of boys = 7/12 × 7200 = 4200

Number of girls = 5/12 × 7200 = 3000

Number of students in MBA (Marketing) = 22% of 7200 = 1584

Number of girls in MBA (IT) = 16% of 3000 = 480

Number of boys in MBA (HR) = 18% of 4200 = 756

Number of girls in MBA (Entrepreneur) = 30% of 480 = 144

Number of boys in MBA (Finance) = 15% of 4200 = 630

Number of boys in MBA (IT) = 50% of 480 = 240

Number of girls in MBA (Operations) = 15% of 3000 = 450

Number of boys in MBA (Entrepreneur) = 3/1 × 144 = 432

Number of students in MBA (Finance) = 24% of 7200 = 1728
=> Therefore, Number of girls in MBA (Finance) = 1728 – 630 = 1098

Number of boys in MBA (Operations) = 12/5 × 450 = 1080

Number of boys in MBA (Marketing) = Remaining number of boys
 = 4200 – (756+630+240+432+1080)
= 4200 – 3138 =1062
=> Therefore, Number of girls in MBA (Marketing) = 1584 – 1062 = 522

Number of girls in MBA (HR) = Remaining number of girls = 3000 – (480 + 144 + 450 + 1098 + 522)
= 3000 -2694 = 306

TABULAR FORM:

SUBJECTS
NUMBER OF BOYS
NUMBER OF GIRLS
MBA(IT)
240
480
MBA(HR)
756
306
MBA(ENTREPRENEUR)
432
144
MBA(FINANCE)
630
1098
MBA(OPERATIONS)
1080
450
MBA(MARKETING)
1062
522
Total
4200
3000

1) From the table, it is clear that total number of students enrolled in MBA (HR) = 756 + 306 = 1062

2) Number of girls enrolled in MBA (Finance) = 1098
=> Required Percentage = 1098/7200 × 100% = 15.25% = 15%

3) Number of girls enrolled in MBA (Marketing) = 522

4) Number of boys enrolled in MBA (Operations) = 1080
Number of girls enrolled in MBA (IT) = 480
=> Required Percentage = 1080/480 × 100% = 225%

5)  Total number of boys enrolled in MBA (Entrepreneur) = 432

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