TEST OF PRACTICAL KNOWLEDGE QUESTION The Table X above shows the number of farm units in three villages of Oju District in the year 2010. Use the data in Ta...

TEST OF PRACTICAL KNOWLEDGE QUESTION

The Table X above shows the number of farm units in three villages of Oju District in the year 2010. Use the data in Table X to answer the questions that follow. 

(a) Using the map of Oju District provided on page 3 and radius of 1 cm to represent 3 farm units, Construct proportional circles to represent the data. (b) State two disadvantages of proportional circles.

Answer Details

(a) To construct proportional circles to represent the data, we need to follow these steps:

1. Determine the scale of the map: For this question, we are told that 1 cm on the map represents 3 farm units.
2. Multiply the number of farm units in each village by the scale factor: For example, for Amana village, we have 45 farm units multiplied by the scale factor of 3, which gives us 135 cm.
3. Draw a circle for each village: The circle for Amana village will have a diameter of 135 cm, the circle for Igede village will have a diameter of 108 cm, and the circle for Otukpo village will have a diameter of 162 cm.
4. Shade or color each circle: to differentiate them from each other.

(b) Two disadvantages of proportional circles are:

1. Difficulty in accurate comparison: Proportional circles are not suitable for precise comparisons because the size of the circles can be difficult to compare accurately. This is especially true when the differences between the values being represented are small.
2. Limited representation: Proportional circles are limited in their ability to represent data because they can only show one variable at a time. If we want to represent more than one variable, we would need to use multiple proportional circles, which can be confusing and cluttered.

In summary, to construct proportional circles to represent data, we need to determine the scale of the map, calculate the diameter of each circle using the scale factor, and draw and shade each circle accordingly. However, proportional circles have limitations such as difficulty in accurate comparison and limited representation of data.