7th Class Mathematics Data Handling

Data Handling

Category : 7th Class

Data Handling

Modern society is information oriented. Every person wants numeric information of different fields of the society like the marks obtained in a particular subject by the students, five year plans etc. Statistics is a branch of mathematics which deals with the process, analyzing and interpreting the data.

Terms Related to Data

• Data: It is defined as the particular information in numeric form.
• Primary data: Primary data means the data that have been collected by collector for some purpose.
• Secondary data: Secondary data is data that have been collected by others and used by other observer.
• Raw data: It is the original form of the data.
• Frequency: The number of times a particular observation occurs in a data is called frequency.
• Range: The difference between maximum and minimum value of the observation is called range.
• Class Interval: The interval in which variates lies is called class interval.
• Class Mark. = $\frac{1}{2}$(lower limit + upper limit)

Example:

The runs scored by 11 members of a cricket team are as follows.

34, 0, 25, 34, 67, 73, 67, 1, 0, 34, 71.

Arrange the above data using tally marks.

Solution:

 Scores Tally Mark Frequency 0 II 2 1 I 1 25 I 1 34 III 3 67 II 2 71 I 1 73 I 1

Example: The total sales of a company (in crores) in different years are as follows.

 Years 2005 2006 2007 2008 2009 Sales (in Crores) 40 60 70 50 30

Present the above data in the form of a bar graph.

Solution: Mean

Mean is defined as the ratio of sum of observations to total number of observations.

$Mean=\frac{Sum\,of\,observations}{Total\,number\,of\,observations}$

Example:

Find the mean of first five even natural numbers.

Solution: First five even natural numbers are 2, 4, 6, 8,10

From the above formula, we get

Mean$=\frac{2+4+6+8+10}{5}=\frac{30}{5}=6$

Other Topics

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