ML Aggarwal CBSE Solutions Class 6 Math 10th Chapter Data Handling Exercise 10.1
Ex. 10.1
(1) Following is the choice of 20 students of class VI of a school:
Banana, Apple, Guava, Orange, Apple, Banana, Orange, Guava, Banana, Banana, Apple, Banana, Apple, Banana, Orange, Guava, Apple, Banana, Guava, Banana.
(i) arrange the name of fruits in a table using tally marks.
(ii) Which fruit is liked by maximum number of students?
(iii) Which fruit liked is liked by minimum number of students?
Solution: (i)
Fruit name | Tally Marks | Frequency |
Banana | IIII III | 8 |
Apple | IIII | 5 |
Guava | IIII | 4 |
Orange | III | 3 |
(ii) Banana is liked by maximum number of students.
(iii) Orange is liked by minimum number of students.
(2) In a ready-made garments shop, on a particular day the following sizes of shirts were sold:
34, 38, 42, 40, 44, 32, 34, 36, 42, 40, 44, 36, 38, 42, 44, 40, 38, 40, 42, 32, 34, 38, 42, 40, 36, 42, 40,. 38, 36, 40
Arrange the above data in ascending order and construct frequency distribution table. Also answer the questions following:
(i) Which shirt size had the maximum sale?
(ii) Which shirt size had the minimum sale?
(iii) The number of shirts sold of size 42 or greater than size 42.
Solution: By arranging the above data in ascending order we get,
32, 32, 34, 34, 34, 36, 36, 36, 36, 38, 38, 38, 38, 38, 40, 40, 40, 40, 40, 40, 40, 42, 42, 42, 42, 42, 42, 44, 44, 44
Sizes of Shirts | Tally Marks | Frequency |
32 | II | 2 |
34 | III | 3 |
36 | IIII | 4 |
38 | IIII | 5 |
40 | IIII II | 7 |
42 | IIII I | 6 |
44 | III | 3 |
(i) 40 No. Size shirt has the maximum sale.
(ii) 32 No. size shirt has the minimum sale.
(iii) Greater than 42 as here 44 size shirt sold.
(3) In mathematics test, the following marks were obtained by 40 students:
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 |
(i) Construct frequency distribution table for the above data.
(ii) Find how many students obtained 7 marks or more than 7 marks.
(iii) How many students obtained marks below 4?
Solution: (i) Arranging the above data in ascending order we get,
1, 1, 2,2,2,3,3,3,4,4,4,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,6,7,7,7,7,7,8,8,8,8,9,9,9
Marks Obtained | Tally Marks | Frequency |
1 | II | 2 |
2 | III | 3 |
3 | III | 3 |
4 | IIII II | 7 |
5 | IIII I | 6 |
6 | IIII II | 7 |
7 | IIII | 5 |
8 | IIII | 4 |
9 | III | 3 |
(ii) Number of students obtained 7 marks or more than 7 marks = 5 + 4 + 3 = 12
(iii) Number of students obtained marks below 4 = 3 + 3 + 2 = 8.