Standard 10: Practical No 12

Practical No 12: The percentage of literate males between the ages 15 and 45 in a colony is given in the table below:
Class
15-20
20-25
25-30
30-35
35-40
40-45
Percentage
42
38
35
26
16
5

Draw a Histogram and Frequency Polygon.

Only the diagram given in the Output Section should be printed and put in the Journal.

The figures given in the Procedure are only for your understanding.


Aim

To draw a Histogram and Frequency Polygon based on the above data which represents the percentage of literate males between the ages 15 and 45 in a colony.

Theory

Geogebra has dual representation namely the Geometric View and the Algebraic View. One can construct or modify geometric figures in the geometric section and observe details about the constructed figures in the Algebraic Section. Furthermore constructions can also be performed by typing in the appropriate command in the Input Box.

Tools

  1. Geogebra Input Bar.

  2. Histogram command

  3. Frequency Polygon command

Procedure


1. Open Geogebra. From the ‘Options’ Menu click ‘Advanced.’

Select ‘Preferences -- Graphic’.

See Figure 1.


Figure 1

2. Click on x-axis Tab and click on Label. Enter 'Age' as label.

See Figure 2.


Figure 2

3. Click on Y-axis Tab and click on Label. Enter ‘Percentage’ as label.

See Figure 3.

Figure 3


4. Click on Grid tab. Select show Grid. Enter grid distance as ‘2.5’ for x-Axis.

See Figure 4.


Figure 4

5. In the Input Box at the bottom of the Screen type, histogram[{15,20,25,30,35,40,45}, {42,38,35,26,16,5}]

Press Enter.

The required Histogram will be displayed. Use the Mouse Scroll button and the Move Graphics View Tool from Tool 11 to position the graphics area properly.

See Figure 5.





Figure 5


6. In the command box at the bottom of the Geogebra window type

FrequencyPolygon[{15,20,25,30,35,40,45}, {42,38,35,26,16,5}].

The Frequency Polygon along with the Histogram will be displayed.

See Figure 6

Save or Print your file as required.


Figure 6

Output


Final Figure

Conclusion

Thus we have drawn the Histogram and Frequency Polygon of the given data.