#### Online Mock Tests

#### Chapters

Chapter 2: Parallel lines and transversals

Chapter 3: Indices and Cube root

Chapter 4: Altitudes and Medians of a triangle

Chapter 5: Expansion formulae

Chapter 6: Factorisation of Algebraic expressions

Chapter 7: Variation

Chapter 8: Quadrilateral : Constructions and Types

Chapter 9: Discount and Commission

Chapter 10: Division of Polynomials

▶ Chapter 11: Statistics

Chapter 12: Equations in one variable

Chapter 13: Congruence of triangles

Chapter 14: Compound interest

Chapter 15: Area

Chapter 16: Surface area and Volume

Chapter 17: Circle : Chord and Arc

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## Solutions for Chapter 11: Statistics

Below listed, you can find solutions for Chapter 11 of Maharashtra State Board Balbharati for Mathematics 8th Standard Maharashtra State Board.

### Balbharati solutions for Mathematics 8th Standard Maharashtra State Board Chapter 11 Statistics Practice Set 11.1 [Pages 69 - 70]

The following table shows the number of saplings planted by 30 students. Fill in the boxes and find the average number of saplings planted by each student.

No. of saplings (Scores) x _{i} |
No. of students (frequncy) f _{i} |
f_{i} x x_{i} |

1 | 4 | 4 |

2 | 6 | _______ |

3 | 12 | _______ |

4 | 8 | _______ |

N = _________ | ∑f_{i}x_{i} = ______ |

Mean `bar "x"` = `square/"N"`

= `square`

The following table shows the electricity (in units) used by 25 families of Eklara village in a month of May. Complete the table and answer the following questions.

Electricity used (units) `x_i` |
No. of Families (frequency) `f_i` |
`f_ix_i` |

30 | 7 | _________ |

45 | 2 | __________ |

60 | 8 | __________ |

75 | 5 | __________ |

90 | 3 | __________ |

N = _________ | `sum f_ix_i` =______ |

(1) How many families use 45 units electricity?

(2) State the score, the frequency of which is 5.

(3) Find N, and `sum f_ix_i`

(4) Find the mean of electricity used by each family in the month of May.

The number of members in the 40 families in Bhilar are as follows:

1, 6, 5, 4, 3, 2, 7, 2, 3, 4, 5, 6, 4, 6, 2, 3, 2, 1, 4, 5, 6, 7, 3, 4, 5, 2, 4, 3, 2, 3, 5, 5, 4, 6, 2, 3, 5, 6, 4, 2. Prepare a frequency table and find the mean of members of 40 families.

The number of Science and Mathematics projects submitted by Model high school, Nandpur in last 20 years at the state level science exibition is:

2, 3, 4, 1, 2, 3, 1, 5, 4, 2, 3, 1, 3, 5, 4, 3, 2, 2, 3, 2. Prepare a frequency table and find the mean of the data.

### Balbharati solutions for Mathematics 8th Standard Maharashtra State Board Chapter 11 Statistics Practice Set 11.2 [Pages 71 - 72]

Observe the following graph and answer the question.

(1) State the type of the graph.

(2) How much is the savings of Vaishali in the month of April?

(3) How much is the total savings of Saroj in the months March and April?

(4) How much more is the total savings of Savita than the total savings of Megha?

(5) Whose savings in the month of April is the least?

The number of boys and girls, in std 5 to std 8 in a Z.P. school is given in the table. Draw a subdivided bar graph to show the data.

(Scale : On Y axis, 1 cm = 10 students)

Standard | 5th | 6th | 7th | 8th |

Boys | 34 | 26 | 21 | 25 |

Girls | 17 | 14 | 14 | 20 |

In the following table number of trees planted in the year 2016 and 2017 in four towns is given. Show the data with the help of subdivided bar graph.

Town → | Karjat | Wadgoan | Shivapur | Khandala |

Year ↴ | ||||

2016 | 150 | 250 | 200 | 100 |

2017 | 200 | 300 | 250 | 150 |

In the following table, data of the transport means used by students in 8th standard for commutation between home and school is given. Draw a subdivided bar diagram to show the data.

(Scale : On Y axis : 1 cm = 500 students)

Town → | Paithan | Yeola | Shahapur |

Mean of Communication ↴ | |||

cycle | 3250 | 1500 | 1250 |

Bus and Auto | 750 | 500 | 500 |

On foot | 1000 | 1000 | 500 |

### Balbharati solutions for Mathematics 8th Standard Maharashtra State Board Chapter 11 Statistics Practice Set 11.3 [Pages 73 - 74]

Show the following information by percentage bar graph.

Division of standard 8 | A | B | C | D |

Number of students securring grade A | 45 | 33 | 10 | 15 |

Total number of students | 60 | 55 | 40 | 75 |

Observe the following graph and answer the questions.

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

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

School | 1^{st} |
2^{nd} |
3^{rd} |
4^{th} |

Inclination towards science stream | 90 | 60 | 25 | 16 |

Inclination towards commerce stream | 60 | 20 | 25 | 24 |

## Solutions for Chapter 11: Statistics

## Balbharati solutions for Mathematics 8th Standard Maharashtra State Board chapter 11 - Statistics

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Concepts covered in Mathematics 8th Standard Maharashtra State Board chapter 11 Statistics are Arithmetic Mean - Raw Data, Subdivided Bar Graph, Percentage Bar Graph.

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