Page 145 - Maths Skill - 6

Data Handling and Presentation 143

3. The final marks in mathematics of 30 students are as follows.
53, 61, 48, 60, 78, 68, 55, 100, 67, 90, 75, 88, 77, 37, 84, 58, 60, 48, 62, 56, 44, 58, 52, 64, 98, 59, 70, 39, 50, 60
Now answer the following.
(i) Arrange these marks in the ascending order, 30 to 39 one group, 40 to 49 second group, etc.
(ii) What is the highest score?
(iii) What is the lowest score?
(iv) If 40 is the passmark, how many students failed?
(v) How many students have scored less than 50?

4. Following data gives the number of children in 41 families.
1, 2, 6, 5, 1, 5, 1, 3, 2, 6, 2, 3, 4, 2, 0, 0, 4, 4, 3, 2, 2, 0, 0, 1, 2, 2, 4, 3, 2, 1, 0, 5, 1, 2, 4, 3, 4, 1, 6, 2, 2
Prepare a frequency distribution table.

5. Prepare a frequency table of the following scores obtained by 50 students in a test.
42, 51, 21, 42, 37, 37, 42, 49, 38, 52, 7, 33, 17, 44, 39, 7, 14, 27, 39, 42, 42, 62, 37, 39, 67, 51, 53, 53, 59, 41,
29, 38, 27, 31, 54, 19, 53, 51, 22, 61, 42, 39, 59, 47, 33, 34, 16, 37, 57, 43
6. In a study of number of accidents per day, the observation for 30 days were obtained as follows.
6, 3, 5, 6, 4, 3, 2, 5, 4, 2, 4, 2, 1, 2, 2, 0, 5, 4, 6, 1, 6, 0, 5, 3, 6, 1, 5, 5, 2, 6
Prepare a frequency distribution table.
7. Prepare a frequency table of the following ages (in years) of 30 students of class VI in a school.

13, 14, 13, 12, 14, 13, 14, 15, 13, 14, 13, 14, 16, 12, 14, 13, 14, 15, 16, 13, 14, 13, 12, 17, 13, 12, 13, 13, 13, 14

PICTORIAL REPRESENTATION OF DATA (PICTOGRAPH)
A data can be expressed in a number of ways i.e. in words, symbols, pictures and graphs etc.
When some information is presented through pictures of symbols, objects or parts of objects, it is called pictorial
representation of data or pictograph. Pictograph helps in quick and clear understanding of data. It also helps us to
answer questions based on the data at a glance.
In pictorial representation, the same type of pictures of symbols are used to represent a specific number of objects.
A picture may represent 1, 10, 100 or 1000 or any other number. The quantity represented by each symbol is
clearly indicated in the representation.

Let’s Attempt

Example 1: The following pictograph shows the number Mode of Transport Number of Students
of students of class VI using the various modes
of transport to go to school. Walking
Answer the following questions:
(a) How many students go to school by car? Bus
(b) If the total number of students involved in
the survey is 56, how many symbols must Bicycle

be drawn for the students to go to school?
Solution: (a) 20 students Car
(b) 56 students should be represented by
56 ÷ 4 = 14 symbols. Each represents 4 students.