**Data Handling**

**EXERCISE – 9.1**

**EX 9.1 QUESTION 1.**

**In a Mathematics test, the following marks were obtained by 40 students. Arrange these marks in a table using tally marks.****1. In a Mathematics test, the following marks were obtained by 40 students. Arrange these marks in a table using tally marks.**

8 |
1 |
3 |
7 |
6 |
5 |
5 |
4 |
4 |
2 |

4 |
9 |
5 |
3 |
7 |
1 |
6 |
5 |
2 |
7 |

7 |
3 |
8 |
4 |
2 |
8 |
9 |
5 |
8 |
6 |

7 |
4 |
5 |
6 |
9 |
6 |
4 |
4 |
6 |
6 |

**(a) Find how many students obtained marks equal to or more than 7.**

**(b) How many students obtained marks below 4?**

**Solution:**

Marks | Tally Marks | Number of Students | |

1 | || | 2 | |

2 | ||| | 3 | |

3 | ||| | 3 | |

4 | || | 7 | |

5 | | | 6 | |

6 | || | 7 | |

7 | 5 | ||

8 | |||| | 4 | |

9 | ||| | 3 |

(a) Number of students who obtained marks equal to or more than 7

= 5 + 4 + 3 = 12

(b) Number of students who obtained marks below 4

= 2 + 3 + 3 = 8.

**EX 9.1 QUESTION 2.**

**Following is the choice of sweets of 30 students of Class VI.**

**Ladoo, Barfi, Ladoo, Jalebi, Ladoo, Rasgulla, Jalebi, Ladoo, Barfi, Rasgulla, Ladoo, Jalebi, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo, Rasgulla, Ladoo, Ladoo, Barfi, Rasgulla, Rasgulla, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo.**

**(a) Arrange the names of sweets in a table using tally marks.**

**(b) Which sweet is preferred by most of the students?**

**Solution:**

Sweets | Tally Marks | Number of Students |

Ladoo | | |
11 |

Barfi | ||| | 3 |

Jalebi | || | 7 |

Rasgulla | |||| | 9 |

Total | 30 |

(b) Ladoo is preferred by most of the students.

**EX 9.1 QUESTION 3.**

**Catherine threw a dice 40 times and noted the number appearing each time as shown below :**

1 |
3 |
5 |
6 |
6 |
3 |
5 |
4 |
1 |
6 |

2 |
5 |
3 |
4 |
6 |
1 |
5 |
5 |
6 |
1 |

1 |
2 |
2 |
3 |
5 |
2 |
4 |
5 |
5 |
6 |

5 |
1 |
6 |
2 |
3 |
5 |
2 |
4 |
1 |
5 |

**Make a table and enter the data using tally marks. Find the number that appeared.**

**(a) The minimum number of times**

**(b) The maximum number of times**

**(c) Find those numbers that appear an equal number of times.**

**Solution:**

Numbers | Tally Marks | Number of times |

1 | || |
7 |

2 | | |
6 |

3 | 5 | |

4 | |||| |
4 |

5 | | |
11 |

6 | || |
7 |

The number that appeared-

(a) The minimum number of times = 4

(b) The maximum number of times = 5

(c) Those numbers that appear an equal number of times = 1 and 6

**EX 9.1 QUESTION 4.**

**Following pictograph shows the number of tractors in five villages.**

(a) The village has the minimum number of tractors = D i.e., 3.

(b) The village has the maximum number of tractors = C i.e., 8.

(c) Village B has 5 tractors

Village C has 8 tractors

= 8 – 5

= 3 tractors

(d) Total number of tractors in all the villages = 6 + 5 + 8 + 3 + 6 = 28 tractors

**EX 9.1 QUESTION 5.**

** The number of girl students in each class of a co-educational middle school is depicted by the pictograph:**

(a) Class VIII has the minimum number of girl students= 1x 4 = 6.

(b) No, number of girls in Class VI = 4 x 4 = 16

and number of girls in Class V = 2 x 4 = 10

no, the number of girl students in Class VI is not less than that of Class V.

(c) Number of girls in Class VII = 3 x 4 = 12

**EX 9.1 QUESTION 6.**

**The sale of electric bulbs on different days of a week is shown below:**

(a) Bulbs sold on Friday = 7 x 2 = 14

(b) On Sunday, the number of bulbs sold = 9 x 2 = 18

(c) On Wednesday and Saturday, the same number of bulbs were sold= 4 x 2 = 8

(d) The minimum number of bulbs were sold on Wednesday and Saturday= 4 x 2 = 8

(e) Total number of bulbs sold in a week = 43

Number of cartons needed 5

= (43 x 2) ÷ 9 = 86 ÷ 9 = 9 = 10 cartons.

**EX 9.1 QUESTION 7.**

**In a village six fruit merchants sold the following number of fruit baskets in a particular season:**

(a) Martin sold the maximum number of fruit baskets= 9 x 100 = 950

(c) Anwar sold = 7 x 100 = 700.

(c) Anwar, Martin, and Ranjit Singh have sold 600 or more fruit baskets and planning to buy a godown for the next season.