Data and its Interpretation
Data and its Interpretation
Data and its Interpretation:
Data interpretation means to arrange the numerical data so that it can be analysed for the purpose of arriving at an informed conclusion. Planning our future action depends on the analyses of the data. For example to analyse whether a concept has been understood by a class the analysis of marks obtained by the class for that concept is done. This is why proper analysis of the data should be done.
Data analysis tends to be extremely important aspect for any planning. That is to say, the nature and goal of interpretation will vary from business to business, likely correlating to the type of data being analyzed.
Recording Data:
The data is collected and recorded by the investigator with a definite objective in mind. For example in a class of 18 students a teacher wants to know the subject which maximum number of students like. The teacher will have to record the favourite subject of different students.For this the teacher will make a list with the name of the student and their favourite subject.
| S.No | Name of Student | Favourite Subject | S.No | Name of Student | Favourite Subject |
| 1 | Rohan | English | 10 | Seema | Maths |
| 2 | Rajesh | Sceince | 11 | Preeti | English |
| 3 | Raghav | Maths | 12 | Amar | Maths |
| 4 | Farida | Science | 13 | Ravi | English |
| 5 | Fatima | Science | 14 | Anita | Science |
| 6 | Satish | English | 15 | Supriya | Maths |
| 7 | Akhtar | Science | 16 | Sapna | English |
| 8 | Usha | English | 17 | Manoj | Maths |
| 9 | Ram | Maths | 18 | Neena | English |
Organisation of Data:
Once the data has been collected. Then the teacher has to organise the data to know the subject which is liked by most of the students.For this the teacher will count the number of times a particular subject appears in the list.
Maths : 6 times
Science : 5 times
English: 7 times
So the most favourite subject is English as it is occuring seven times.
Grouped Data:
Raw data is condensed into groups or classes in order to study their features.. Such a presentation is called grouped data.
Class Intervals:
Each of the group formed is called a class interval. Each class is bounded by two values which are called class limits.
For example in a class of 50 students a test is conducted comprising of 50 marks. The marks obtained by the student are considered as raw data.The marks are then arranged in groups known as class intervals. Let us say the groups are 0-10, 10-20, 20-30, 30-40 and 40-50 These are the class intervals
In class 20-30, 20 is the Lower Class Limit and 30 is called the Upper Class Limit.
Class Boundaries:
There are two types of class boundaries
1 Exclusive Form:
In this situation class interval is defined as Lower limit inclusive and the upper limit exclusive. That is for a class interval 20-30 the data value 20 is a part of this class but the data value 30 will lie in the next class.
2. Inclusive Form:
In this situation the true limit of a class is obtained by subtracting 0.5 from the lower limit of the class and the true upper limit of the class is obtained by adding 0.5 to the upper limit. That is for a class interval 20-30 the true lower limit will be 20-0.5=19.5 and true upper limit will be 30 + 0.5 = 30.5, so data value 19.5 and above will be a part of this class and the data value 30.4 will also be a part of this class but the data value 30.6 will lie in the next class.
In the exclusive form of class boundary the value 20 will lie in the _________________ class interval. | |||
| Right Option : B | |||
| View Explanation | |||
0-10, 10-20, 20-30 .... so on are the classes, the lower boundary of the class interval 20 - 30 is _______________ . | |||
| Right Option : B | |||
| View Explanation | |||
The inclusive form of class boundary the value 19.4 will lie in ___________________class interval. | |||
| Right Option : A | |||
| View Explanation | |||
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