Chapter 11 Statistics Set 11.3

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Chapter 11 Statistics Set 11.3

Question 1.
Show the following information by a percentage bar graph.

Division of standard 8

A

B

C

D

Number of students securing grade A

45

33

10

15

Total number of students

60

55

40

75

Solution:

Division of standard 8

A

B

C

D

Number of students securing grade A

45

33

10

15

Total number of students

60

55

40

75

Percentage of students securing grade A

75%

60%

25%

20%

Percentage of students not securing grade A

25%

40%

75%

80%

Maharashtra Board Class 8 Maths Solutions Chapter 11 Statistics Practice Set 11.3 1

Question 2.
Observe the following graph and answer the questions.
Maharashtra Board Class 8 Maths Solutions Chapter 11 Statistics Practice Set 11.3 2

  1. State the type of the bar graph.
  2. How much percent is the Tur production to total production in Ajita’s farm?
  3. Compare the production of Gram in the farms of Yash and Ravi and state whose percentage of production is more and by how much?
  4. Whose percentage production of Tur is the least?
  5. State production percentages of Tur and Gram in Sudha’s farm.

Solution:

  1. The given graph is a percentage bar graph.
  2. Percent of tur production to the total production in Ajita’s farm is 60%.
  3. Production of Gram in the farm of Yash = 50%
    Production of Gram in the farm of Ravi = 30%
    ∴ Difference in the production = 50% – 30% =20%
    ∴ Yash’s production of Gram is more and by 20%.
  4. Sudha’s percentage production of Tur is the least.
  5. Production percentages of Tur and Gram in Sudha’s farm are 40% and 60% respectively.

Question 3.
The following data is collected in a survey of some students of 10th standard from some schools. Draw the percentage bar graph of the data.

School

1st

2nd

3rd

4th

Inclination towards science stream

90

60

25

16

Inclination towards commerce stream

60

20

25

24

Solution:

School

1st

2nd

3rd

4th

Inclination towards science stream

90

60

25

16

Inclination towards commerce stream

60

20

25

24

Total number of students

150

80

50

40

Percentage of students having inclination towards science stream

60%

75%

50%

40%

Percentage of students having inclination towards commerce stream

40%

25%

50%

60%

Maharashtra Board Class 8 Maths Solutions Chapter 11 Statistics Practice Set 11.3 3

Intext Questions and Activities

Question 1.
Compare and discuss a percentage bar diagram and a subdivided bar diagram. Use it to learn the graphs in the subjects like Science, Geography. (Textbook pg, no. 74)
Solution:
[Students should attempt the above activity on their own.]