# Question 1

**The histogram given alongside shows the distribution of ages (in years) of 38 teachers in a school. Answer the following questions.**

**i. What is the most common age group? How many teachers are there in this group?**

**ii. What is number of teachers who are more than 25 years old but less than 30?**

**iii. How many teachers are 40 or older?**

**Solution:**

i. The most common age group 35 â€“ 40. Number of teachers = 11

ii. 4 teachers

iii. 8 + 6 = 14 teachers

iv. 5 years.

# Question 2

**The adjacent histogram shows weekly wages (in rupees) of workers in a factory. From the histogram answer the following**

**i. In which wage -group are the largest number of workers being kept?**

**iii. What is the total number of workers?**

**Solution:**

i. Wage group 950

**â€“**1000 and number of workers are 8.

ii. Wage group 900 â€“ 950 and number of workers are 2.

iii 3 + 7 + 5 + 4 + 2 + 8 + 6 + 5 = 40

# Question 3

**From the histogram answer the following questions.**

**i. What is the information is given on the two axes?**

**ii. How many students have their height more than 165cm?**

**iii. How many students are in the range of shortest height of the class?**

**iv. How many students in the class?**

**Solution:**

i. The horizontal axis indicates the height (in cms) and the vertical axis indicates the number of students.

ii. 1

iii. The range of shortest height in the class is 140 â€“ 145 and the number of students is 6.

iv. 6 + 10 + 15 + 18 + 2 + 1 = 52.

# Question 4

**Read the following bar graph and an**

**i. What is the information is given by the graph?**

**ii. What was the production of cement in the year 1980 - 81?**

**iii. What is the minimum and maximum production of cement and corresponding years?**

**Solution:**

i. Industrial production of cement for different years.

ii. 186 lakh tones.

iii. Minimum: 30 lakh tonnes, 1950 - 51

Maximum: 232 lakh tonnes, 1982 - 83

# Question 6

**The following table gives the number of students in class VII in a school during academic years 2002 to 2003 to 2007 - 2008. Represent the below data by a bar graph.**

**Â**

Academic year |
2002 - 2003 | 2003 - 2004 | 2004 - 2005 | 2005 - 2006 | 2006 - 2007 | 2007 - 2008 |

Number of students |
50 | 75 | 120 | 130 | 150 | 200 |

**Solution:**

# Question 7

**The following table gives the number of vehicles passing through a busy crossing in Delhi in different time intervals on a particular day. Represent the below data by a bar graph.**

**Â**

Time interval |
8-9hrs | 9-10hrs | 10-11hrs | 11-12hrs | 12-13hrs | 13-14hrs | 14-15hrs |

Number of vehicles |
300 | 400 | 350 | 250 | 200 | 150 | 100 |

**Solution:**

# Question 9

**The following line graph shows the sales figure for a manufacture company.**

**i. What were the sales in i. 2008. ii. 2005?**

**ii. What were the sales in i. 2006 ii. 2007**

**iii. Compute the difference between the sales in 2005 and 2008**

**Solution:**

i. 12 crores ii. 4 crores

i. 8 crores ii. 10 crores

12 **â€“** 4 = 8 crores

# Question 12

**Draw the graph for the following tables of values with suitable places on the axes.**

Â

Â

**Solution:**