Diagrammatic and Graphic Representation Numerical Solutions

Diagrammatic and Graphic Representation Numerical Solutions

Here we are going to solve some numerical problems in Diagrammatic and Graphic Representation:

Qns1) Draw the pie chart from following data related to the monthly expenditure of  two  families 

          

Solution:                                                                                                                                                

                    Total Expenditure of Family A : Rs (4000+3000+5000+2000+6000)

                                                                        Rs. 20000

                     For pie chart we need to convert this value into degree.

                    So , Rs. 20000 = 360°

                      Rs. 1 = 360°/20000

                               =0.018°

Then ,

            

Now , Similarly for Family B : 

           Total expenditure : 3000 + 1000 + 2000 + 2000 + 2000 = Rs. 10000

            Here Rs. 10000 = 360°

               Rs. 1 = 360°/10000

                        = 0.036°

Then, 

                    Pie chart of monthly expenditure for family B

Qns 2) Prepare the Histogram and frequency Polygon from following data.

Solution:

               In this distribution class interval is same (i.e 5) except for 4th class interval (i.e 10). Hence frequency at this interval can be adjusted by dividing by 2.

                i.e. 40/2= 20

  Frequency polygon is obtained by joining midpoint of upper side of adjacent rectangles of histogram by means of straight lines .

Qns 3)From the following distribution Construct an ogive and find the number of person having income between Rs. 20000 and Rs. 50000 from ogive curve.

Solution:

        First construct either less than or more than ogive table.

Here we are going to construct less than table:

Hint: less than 10 is 5

         less than 20 is 10+5=15

         less than 30 is 15+18=33  and so on.....

Now with these value we construct less than Ogive curve:

Less than ogive

Here Clearly The total no of person having income between Rs. 20000 and Rs.50000 

is = 63 - 15

    = 48

Qns 4) Draw the ogive curve and locate the value of median from following data 

Find the no. of employees having wages between Rs. 63000 and Rs. 75000.

 Solution:

                Here we have to locate the median value , so we need plot both less than ogive and         more than ogive .

        Here in qns more than cf is given . From that we calculate less than c.f first.

( Hint: less than 60 = 65-57 =8

            less than 70 = 65-47= 18

            less than 80 = 65-31= 34 and so on...)

Now plotting the ogive curve:

Here the value of the median is indicated by point of intersection between these ogive lines.

So, value of median from graph is 74.

from graph no . of person earning less than 63000 is 22 (approx.)

                   no. of person earning less than 75000 is 39 (approx.)

             hence, total no of person earning between Rs. 63000 and 75000 is = 39 - 22

                                                                                                                        = 17