Question

The number of students in a hostel , speaking different languages is given below
Displays the data in a pie chart

Languages. :-. Hindi. English. Marathi. Tamil. Bengali. Total
Number of students:-. 40. 12. 9. 7. 4. 72

Answer 1

Given:

LANGUAGES               Hindi English Marathi Tamil Bengali Total

NO. OF STUDENTS 40    12             9          7          4         72

To find: show the data of a pie chart.

Step-by-step explanation:

Step 1 of 2

A pie chart is a circle which is divided into parts.

The formula of pie chart is (Given Data/Total value of Data) × 360°.

1. Hindi - $\frac{40}{72} *360^{o} = 200^{o}$
2. English - $\frac{12}{72} *360^{o} =60 ^{o}$
3. Marathi - $\frac{9}{72} *360^{o} =45 ^{o}$
4. Tamil - $\frac{7}{72} *360^{o} =35 ^{o}$
5. Bengali - $\frac{4}{72} *360^{o} = 20^{o}$

Step 2 of 2

Make a circle and measure the angles. The pie chart obtained will be as follows:

Answer 2

Answer:

As given below

Step-by-step explanation:

Given data

the number of students in a hostel speaking different languages is given

Languages                Hindi       English     Marathi    Tamil     Bengali    Total

Number of students      40           12               9               7           4            72

here we need to display the data in a pie chart

for that we need to convert number of students values into percentages  and the degrees as shown below

Converting given values into percentages

⇒ Hindi =  $\frac{given value }{total}$ × 100 =   $\frac{40 }{72}$ × 100 = 55.556%

⇒ English = $\frac{12}{72}$ × 100 = 16.667%  

⇒ Marathi = $\frac{9}{72}$ × 100 = 12.5%

⇒ Tamil = $\frac{7}{72}$ × 100 =  9.722%      

⇒ Bengali =  $\frac{4}{72}$ × 100 = 5.556%        

Now convert above values into degrees  

⇒ Hindi = percentage × 360°  =   $\frac{55.556}{100}$× 360° = 200°

⇒ English = (16.667 / 100 ) 360°  = 60°  

⇒ Marathi = (12.5 /100) 360° = 45°

⇒ Tamil =  (9.722 /100)360°  = 35°

⇒ Bengali =  (5.556 /100) 360° = 20°

⇒ now we can display Pie chart by using above values as given below