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8th class > Data Handling > Looking for Information

Looking for Information

Click on instructions button for directions on how to use the component and solve the given problems.

In your day-to-day life, you might have come across information, such as:

(a) Runs made by a batsman in the last 10 test matches.

(b) Number of wickets taken by a bowler in the last 10 ODIs.

(c) Marks scored by the students of your class in the Mathematics unit test.

(d) Number of story books read by each of your friends etc.

The information collected in all such cases is called data. Data is usually collected in the context of a situation that we want to study.

For example, a teacher may like to know the average height of students in her class. To find this, she will write the heights of all the students in her class, organise the data in a systematic manner and then interpret it accordingly.

Sometimes, data is represented graphically to give a clear idea of what it represents. Do you remember the different types of graphs which we have learnt in earlier classes? Let's recollect them first.

A Pictograph: Pictorial representation of data using symbols.

The following pictograph shows the number of absentees in a class of 30 students during the previous week :

DaysNumber of studentsAbsentee
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday

2. A bar graph: A display of information using bars of uniform width, their heights being proportional to the respective values.

Instructions

Answer the questions using the graph shown above:

What is the information given by the bar graph?
In which year is the increase in the number of students maximum?
In which year is the number of students maximum?
State whether true or false: ‘The number of students during 2005-06 is twice that of 2003-04.’

3. Double Bar Graph: A bar graph showing two sets of data simultaneously. It is useful for the comparison of the data.

Instructions

The graph shown above shows the marks of two students: Ankita and Bhavan for the subject of "Maths" and "Science". Answer the following questions, using the above graph:

What is the information given by the bar graph?
Who got the higher marks in Maths?
Who got the higher marks in Science?
How many more marks does Ankita have, in comparison to Bhavan, in the subject of Science?
How many more marks does Bhavan have, in comparison to Ankita, in the subject of Maths?

Instructions

If we change the position of any of the bars of a bar graph, would it change the information being conveyed? Why?
, changing the position of any of the bars in a bar graph the way the information is conveyed.
This also depends on the type of data being represented.
For Categorical Data: If the data is nominal, where categories have no inherent order (e.g., colors, types of fruit), changing the order of the bars does not affect the information being conveyed because the categories are independent of each other.
If the data has an inherent order (e.g., age groups, rankings), changing the order of the bars can misrepresent the information or make the graph harder to interpret. The order of the bars reflects the natural order or progression in the data, and altering it can lead to confusion or misinterpretation.
For time series data or any data where the x-axis represents a progression (e.g., months, years), changing the order of the bars can completely distort the information. The position of each bar is crucial in showing trends, changes over time, or relationships between different periods. Altering the order would mislead the viewer about the sequence of events.
Thus, depending on the dataset at hand, the position changing of the bars can have an effect on the information being conveyed.

Try These

Draw an appropriate graph to represent the given information.

1

MonthNumber of watches sold
July1000
August1500
September1500
October2000
November2500
December1500

2

Children who preferSchool ASchool BSchool C
Walking405515
Cycling452535

3

Percentage wins in ODI by 8 top cricket teams

TeamsFrom Championship Trophy to World Cup '06Last 10 ODI in '07
South Africa75 %78 %
Australia61 %40 %
Sri Lanka54 %38 %
New Zealand47 %50 %
England46 %50 %
Pakistan45 %44 %
West Indies44 %30 %
India43 %56 %