CBSE Class 6 Maths Data Handling HOTs

HOTS

Preference of people in playing different games over the years is given in the bar graph. Read the graph and answer the questions that follow. 

1. In the year 2006, the people preferring to play tennis is what percent of the people preferring to play cricket, football and tennis together in that year?
Answer: 20%

2. From 2001 to 2006, find the total number of people who preferred to play football.
Answer: 1800 million

3. The number of people preferring to play tennis in 2006 is how many million fewer than the number of people preferring to play tennis in 2005?
Answer: 150 million

4. What is the ratio of the number of people preferring to play cricket to the number of people preferring to play tennis in the year 2003?
Answer: 4 : 3

5. How many people (in million) have preferred to play cricket in all the years together?
Answer: 2050 million

SUMMARY

1. The collection of facts in the form of numerical values is called the data.

2. Each numerical figure in a data is called an observation.

3. The number of times a particular observation occurs in a data is called the frequency of that observation.

4. A table showing the frequency of various observations is called the frequency distribution table.

5. A representation that shows numerical information by using pictures or symbols is called a pictograph.

6. A bar graph is a pictorial representation of data in which bars of equal width are erected vertically or horizontally with equal spacing between them. The height or length of a bar represents the corresponding value of the data.

ERRORANALYSIS

1. Tally marks are incorrectly drawn by students.

2. Scale is not mentioned in a bar graph and a pictograph.

3. Labelling of axis is not done.

4. Equal spacing between bars is not maintained.

5. Bars are not of uniform width.

ACTIVITY I

To collect the data from the students regarding time spent (more than 2 hours) watching TV and to present the data in the form of a bar graph by paper cutting and pasting.

Material required : Coloured and white papers, sketch pens, a pair of scissors, a pencil and glue
Procedure

Step 1 : Record the number of hours spent during a day by each student in the class watching TV in Table 1.

Step 2 : List the students who spent more than 2 hours a day watching TV in Table 2 

Step 3 : To make a bar graph of the data in Table 2, draw two lines (one horizontal and one vertical as shown in Fig. (a) 

Step 4 : Write the names of the students in Table 2 along the horizontal line at equal distances and time spent (in hours) along the vertical line. [Fig. (b)]

Step 5 : Now make strips of uniform width of different colours, for each student, of length according to time (in hours) spent by him/her in watching TV (see Table 2)

Step 6 : Paste these strips in Fig. (b) accordingly against the names of the students. 

Observations:
a. The number of students who spent 2 to 3 hours watching TV in a day =......
b. The name(s) of student(s) who spent more than 6 hours a day watching TV are.....
c. The name(s) of the student (s) who spent maximum time watching TV are .......
d. The name(s) of the student(s) who spent exactly 2 hours a day watching TV is/are ..........

ACTIVITY II

We know a die is a cube where 6 faces are marked with numbers or dots from 1 to 6, one number on each face. Recall, we use a die while playing Ludo or Snake and ladder.

Throw a die 20 times and write the result of each throw in the following table:  

On the basis of the above data, answer the following questions:
a. How many times has 6 occurred?
b. How many times has a number more than 3 occurred?
c. How many times has a number less than 4 occurred?