The table below shows the quantity of yams (in kg) produced by four yam producing states in Nigeria between 1995 and 1998; Quantity of yams in kilograms pro...
Question 1 Report
The table below shows the quantity of yams (in kg) produced by four yam producing states in Nigeria between 1995 and 1998;
| State | 1995 | 1996 | 1997 | 1998 |
| A | 300,000 | 400,000 | 500,000 | 600,000 |
| B | 500,000 | 500,000 | 600,000 | 700,000 |
| C | 600,000 | 700,000 | 800,000 | 800,000 |
| D | 700,000 | 600,000 | 500,000 | 400,000 |
Use the table to answer the following questions
(a) Calculate the total quantity of yams produced in the four states during the period (1995-1998)
(b) Construct a pie-chart to show the quantity of yarns produced by each state in 1998
(c) State two advantages of a pie-chart
Answer Details
First set the data out clearly. Reading the table by year-column, the quantities (in kg) are:
| State | 1995 | 1996 | 1997 | 1998 |
|---|---|---|---|---|
| A | 300,000 | 400,000 | 500,000 | 600,000 |
| B | 500,000 | 500,000 | 600,000 | 700,000 |
| C | 600,000 | 700,000 | 800,000 | 800,000 |
| D | 700,000 | 600,000 | 500,000 | 400,000 |
| Yearly total | 2,100,000 | 2,200,000 | 2,400,000 | 2,500,000 |
(a) Total quantity of yams produced by the four states, 1995 to 1998
Add the four yearly totals: \[2{,}100{,}000 + 2{,}200{,}000 + 2{,}400{,}000 + 2{,}500{,}000 = 9{,}200{,}000\ \text{kg}.\] The total quantity produced during the period is 9,200,000 kg.
(b) Pie chart of the 1998 output
The 1998 total is \(600{,}000 + 700{,}000 + 800{,}000 + 400{,}000 = 2{,}500{,}000\) kg. Each state's angle is found from \[\theta = \frac{\text{state output}}{\text{total}} \times 360^{\circ}.\]
| State | 1998 output (kg) | Working | Angle |
|---|---|---|---|
| A | 600,000 | (600,000/2,500,000)×360 | 86.4° |
| B | 700,000 | (700,000/2,500,000)×360 | 100.8° |
| C | 800,000 | (800,000/2,500,000)×360 | 115.2° |
| D | 400,000 | (400,000/2,500,000)×360 | 57.6° |
| Total | 2,500,000 | 360.0° |
To draw it: construct a circle of convenient radius, mark a starting radius (12 o'clock), and use a protractor to mark off the angles in order, largest to smallest. Shade each sector differently, label it with the state and its value or percentage, and add a title and key.
(c) Two advantages of a pie chart
- It shows clearly the proportion or share that each part contributes to the whole.
- It gives an easy visual comparison between the sectors, so the largest and smallest producers are seen at a glance.
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