Q14 of 41 Page 5

Employees of a company have been categorized according to their religions as given below :


Religions

Hindu

Muslim

Sikh

Christian

Total

No. of workers

320

300

225

105

1050

Here, total number of employees = 1050


So,


The central angle = × 360°


Hence, the central angle for each activity will be calculated as follows



Religion

Number of workers

Sector angle (degree)

Hindu

420

420/1050 × 360 = 144

Muslim

300

300/1050 × 360 = 102.9

Sikh

225

225/1050 × 360 = 77.14

Christian

105

105/1050 × 360 = 36

Steps for construction of representation of data in pie chart


Step 1: Draw the circle of appropriate radius.


Step 2 : Choose a radius anywhere inside the circle.


Step 3 : Now draw a sector of calculated component’s central angle. It is always preferable to choose component with largest central angle first and then continue in descending order of magnitude of their central angle.


Step 4: After drawing sectors, shade them with different colours and label them as shown in the figure.


More from this chapter

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12

In a hypothetical sample of 20 people the amounts of money with them were found to be as follows:

114, 108, 100, 98, 101, 109, 117, 119, 126, 131, 136, 143, 156, 168, 182, 195, 207, 219, 235, 118.


Draw the histogram of the frequency distribution (taking one of the class intervals as 50-100).

 13

A survey was made to find the type of music that a certain group of young people liked in a city. Adjoining pie chart shows the findings of this survey.

From this pie chart answer the following:


(i) If 20 people liked classical music, how many young people were surveyed?


(ii) Which type of music is liked by the maximum number of people?


(iii) If a cassette company were to make 1000 CD’s, how many of each type would they make?


 15

Draw a histogram to represent the following data :

 16

A die thrown. Find the probability of getting:

(i) a prime number


(ii) 2 or 4


(iii) a multiple of 2 or 3