# Grade-8 Topic: Histogram and Line Graph (For CBSE, ICSE, IAS, NET, NRA 2022)

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## (1) the Histogram Shown Number of Hours Spent for Study Per Day by Grade-8 Students

(a) How many Students Spend 6 or more hours for Study per day?

(b) How many Students spend two or less than hours for study per day?

(c) Maximum number of student spends how many hours for study per day?

(d) How many Students are there in the class?

## (2) the Histogram Shown Number of Hours Spent for Study Per Day by Grade-8 Students

(a) Maximum how many number of students spend how many hours for study per day?

(b) How many Students are there in the class?

## (3) the Data Given the Marks Covered by the Students in Final Exam

41 , 45 , 46 , 93 , 57 , 80 , 98 , 86 , 74 , 68 , 92 , 78 , 55 , 52 , 63 , 83 , 72 , 53,85 , 91

(a) Complete the Frequency distribution table as shown below by taking class of 10, than draw the histogram for the data.

Marks covered in exam | Tally marks | Frequency |

## (4) Rekha Bought Few Chocolates for Her Cousin՚s. The Graph Shows the Prize of Chocolate for a Given Number of Chocolates

(a) Find the cost of each Chocolate.

(b) Find the cost of five Chocolate based on the pattern in the graph.

(c) As the number of chocolates increase, their total cost increase in proportion. (Right or Wrong)

## (5) the Table Shows the Total Number of Landline User in a Town from 2000 to 2010

Year | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 | 2007 | 2008 | 2009 | 2010 |

Number of Landline user (in lacks) | 22 | 18 | 16 | 15.5 | 13 | 12.5 | 11 | 10.5 | 9 | 7.5 | 6 |

(a) Create a line graph to represent the data.

(b) Write the period that shows the maximum decrease in the number of landline user.

(c) Tick the period that showed less number of landline user decrease.

## Answers and Explanations

### Answer 1 (A)

- From the graph:
- Number of Student Spend 6 hours per day
- Number of Students shows on y-axis and for y-axis

- Hence,

- Now,

- Now,

- Hence,

### Answer 1 (B)

- From the graph:
- Number of Student Spend 2 hours per day
- Number of Students shows on y-axis and for y-axis

- Hence,

- Now,

**So**,

### Answer 2 (A)

- From graph it՚s clear that Third number bar line shows maximum number of student.
- On x-axis one ,
- So, 3
^{rd}bar on x-axis means 3 hours. - Now for Number of Students, Number Students represent on y-axis , and for y-axis

- Therefore, Maximum
**85 number of student**spend 3 hours for Study.

### Answer 2 (B)

- Total number of Students in the Class is equal to summation of number of Students Spend 1 to 8 hours for study per day.
- So Total Number of Students in the class

- Therefore, total
**410 Students**are there in the class.

### Answer 3 (A)

- Frequency Distribution Table for the given data is as below,

(Taking class of 10)

Marks covered in exam | Tally marks | Frequency |

41 - 50 | 3 | |

51 - 60 | 4 | |

61 - 70 | 2 | |

71 - 80 | 4 | |

81 - 90 | 3 | |

91 - 100 | 4 |

- Now for Histogram,
- Take marks covered by the students in final exam on X-axis and frequency on Y-axis.
- Consider scale as below,

- Histogram shows as below,

### Answer 4 (A)

- From the graph as shown below, if we draw a horizontal line and vertical line at point number one, than it meets 1 on X-axis and, 50 on Y- axis.

- X-axis represents number of Chocolate and Y-axis Represent Prize of Chocolate.
- So, from graph for one number of chocolate prizes of chocolate is ₹ 50.
- Hence, cost of Chocolate is
**₹ 50**

### Answer 4 (B)

- To find out the Cost of Five chocolate using graph,
- First extend the pattern of graph, then draw a vertical line at 5 number of chocolates,
- When this line intersects to graph pattern at that point draw a horizontal line.
- Now, check the Prize on Y-axis at that horizontal line, it represents the cost of 5 chocolate.
- As shown below,

- Hence, the cost of five Chocolate based on the pattern in the
**graph is ₹ 250**

### Answer 4 (C)

- From Graph it՚s clear that,
- Cost of one chocolate
- Cost of 2 Chocolate
- Cost of 3 Chocolate
- Cost of 4 Chocolate
- Means, as the number of chocolates increase, their total cost also increases in proportion
- So, given statement that: as the number of chocolates increase, their total cost increase in proportion is
**RIGHT**

### Answer 5 (A)

- To draw a line graph, take a year on X-axis and number of landline user (in lacks) on Y-axis.
- Take Scale as below,

### Answer 5 (B)

- Year/period wise decrease in number of landline user (in lacks) is given in below table.

Period | decrease in the number of landline user. (in lacks) |

2000 - 2001 | |

2001 - 2002 | |

2002 - 2003 | |

2003 - 2004 | |

2004 - 2005 | |

2005 - 2006 | |

2006 - 2007 | |

2007 - 2008 | |

2008 - 2009 | |

2009 - 2010 |

- From Above table it՚s clear that the year from
**2000 to 2001**the maximum number of landline user decrease.

### Answer 5 (C)

- The period that showed less number of landline user decrease.

- From below table,

Period | Decrease in the number of landline user. (in lacks) |

2000 - 2001 | |

2001 - 2002 | |

2002 - 2003 | |

2003 - 2004 | |

2004 - 2005 | |

2005 - 2006 | |

2006 - 2007 | |

2007 - 2008 | |

2008 - 2009 | |

2009 - 2010 |

- The number of user decrease in the year of 2003 - 2004 is
- And number of user decrease in the year of 2007 - 2008 is
- Hence from given two period in the year 2003 - 2004, less number of landline user decrease.