Practice Set 6.6 Statistics Class 10th Mathematics Part 1 MHB Solution

Practice Set 6.6
  1. The age group and number of persons, who donated blood in a blood donation camp is…
  2. The marks obtained by a student in different subjects are shown. Draw a pie diagram…
  3. In a tree plantation programme, the number of trees planted by students of different…
  4. The following table shows the percentages of demands for different fruits registered…
  5. The pie diagram in figure 6.13 shows the proportions of different workers in a town.…
  6. The annual investments of a family are shown in the adjacent pie diagram. Answer the…
Practice Set 6.6
Question 1.

The age group and number of persons, who donated blood in a blood donation camp is given below. Draw a pie diagram from it.



Answer:

Let us find the measures of central angles and show them in a table.

Know that,




Now we shall show the table into a pie chart.




Question 2.

The marks obtained by a student in different subjects are shown. Draw a pie diagram showing the information.



Answer:

Let us find the measures of central angles and show them in a table.

Know that,




Now we shall show the table into a pie chart.




Question 3.

In a tree plantation programme, the number of trees planted by students of different classes is given in the following table. Draw a pie diagram showing the information.



Answer:

Let us find the measures of central angles and show them in a table.


Know that,




Now we shall show the table into a pie chart.




Question 4.

The following table shows the percentages of demands for different fruits registered with a fruit vendor. Show the information by a pie diagram.



Answer:

Let us find the measures of central angles and show them in a table.

Know that,




Now we shall show the table into a pie chart.




Question 5.

The pie diagram in figure 6.13 shows the proportions of different workers in a town.

Answer the following questions with its help.

(1) If the total workers is 10,000; how many of them are in the field of construction?

(2) How many workers are working in the administration?

(3) What is the percentage of workers in production?



Answer:

(1) Given: total number of workers = 10000


And central angle for number of workers in construction = 72°


And we know that,



⇒ 


⇒ 


⇒ No. of workers in construction = 2000


Thus, number of workers in the field of construction = 2000.


(2) We know that,



⇒ 


⇒ 


⇒ No. of workers in admin = 1000


Thus, number of workers working in administration = 1000


(3) First, let us find the number of workers working in production.


We know that,



⇒ 


⇒ 


⇒ No. of workers in production = 2500


In terms of percentage,



⇒ 


⇒ Percentage of workers in production = 25%


Thus, percentage of workers in production = 25%



Question 6.

The annual investments of a family are shown in the adjacent pie diagram. Answer the following questions based on it.

(1) If the investment in shares is Rs 2000/, find the total investment.

(2) How much amount is deposited in bank?

(3) How much more money is invested in immovable property than in mutual fund?

(4) How much amount is invested in post?



Answer:

(1) Given: Investment in shares = Rs. 2000


And central angle for investment in shares = 60°


And we know that,



⇒ 


⇒ 


⇒ Total investment = 12000


Thus, total investment is Rs. 12000.


(2) We know that, total investment = Rs. 12000


Central angle for deposits in banks = 90°


And we know that,



⇒ 


⇒ 


⇒ Deposits in bank = 3000


Thus, deposits in bank is Rs. 3000.


(3) Firstly, let us find money invested in immovable property.


We know that, total investment = Rs. 12000


Central angle for investment in immovable property = 120°


And we know that,



⇒ 


⇒ 


⇒ Investment in immovable property = 4000 …(i)


Now, let us find money invested in mutual fund.


We know that, total investment = Rs. 12000


Central angle for investment in mutual fund = 60°


And we know that,



⇒ 


⇒ 


⇒ Investment in mutual fund = 2000 …(ii)


Subtract (ii) from (i),


The additional money invested in immovable property than mutual fund = (Investment in immovable property) – (Investment in mutual fund)


= 4000 – 2000


= 2000


Thus, Rs. 2000 more money is invested in immovable property than mutual fund.


(4) We know that, total investment = Rs. 12000


Central angle for investment in post = 30°


And we know that,



⇒ 


⇒ 


⇒ Investment in post = 1000


Thus, investment in post is Rs. 1000.

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