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GRADE 11 DATA HANDLING TASK

QUESTION 1
Study the statistics below before answering the questions that follow.

\begin{tabular}{|c|c|c|c|c|}
\hline
COUNTRY & \begin{tabular}{l}
TOURIST \\
ARRIVAL \\
JAN-MAR \\
2023
\end{tabular} & \begin{tabular}{c}
[tex]$\%$[/tex] arrival \\
2023
\end{tabular} & \begin{tabular}{c}
TOURIST \\
ARRIVALS \\
JAN-2024
\end{tabular} & \begin{tabular}{c}
[tex]$\%$[/tex] arrival \\
2024
\end{tabular} \\
\hline
ZIMBABWE & 228634 & 35.0 & 283969 & 37.1 \\
\hline
LESOTHO & 155187 & 23.8 & 165235 & 21.6 \\
\hline
MOZAMBIQUE & 153476 & 23.5 & 176100 & 23.0 \\
\hline
ESWATINI & 48766 & 7.5 & 63679 & 8.3 \\
\hline
BOTSWANA & 24273 & 3.7 & 26682 & 3.5 \\
\hline
MALAWI & 11671 & 1.8 & 16038 & 2.1 \\
\hline
SOURCE & PO351 & & & \\
\hline
\end{tabular}

(Source: PO351 - January 2023/2024 - www.statisticssa.net.za)

1.1 Rank the tourist arrivals for 2023 in ascending order.

1.2 Calculate the percentage difference for the top 3 countries for 2023 vs 2024. Show all calculations.

1.3 Which country showed the least \% change between 2023 and 2024? Give the percentage change.

1.4 Suggest two possible reasons why the country mentioned in Q 1.3 is so popular with South Africa.

1.5 Use the information in the table above to draw a bar graph representing tourist arrivals in January 2024. Use the following as a guide:
- Vertical Axis: tourist arrivals (2024) ranging from highest to lowest
- Horizontal Axis: names of the countries.


Sagot :

Let's tackle each question step by step:

### 1.1. Rank the Tourist Arrivals for 2023 in Ascending Order

To rank the tourist arrivals for 2023 in ascending order, we look at the arrivals for each country during Jan-Mar 2023.

- Zimbabwe: 228,634
- Lesotho: 155,187
- Mozambique: 153,476
- Eswatini: 48,766
- Botswana: 24,273
- Malawi: 11,671

Arranging these numbers in ascending order:

- Malawi: 11,671
- Botswana: 24,273
- Eswatini: 48,766
- Mozambique: 153,476
- Lesotho: 155,187
- Zimbabwe: 228,634

### 1.2. Calculate the Percentage Difference for the TOP 3 Countries for 2023 vs 2024

First, identify the top 3 countries based on 2023 arrivals:
1. Zimbabwe: 228,634
2. Lesotho: 155,187
3. Mozambique: 153,476

Percentage Difference Formula:
[tex]\[ \text{Percentage Change} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100 \][/tex]

#### Zimbabwe:
[tex]\[ \text{Old Value} = 228,634 \][/tex]
[tex]\[ \text{New Value} = 283,969 \][/tex]
[tex]\[ \text{Percentage Change} = \left( \frac{283,969 - 228,634}{228,634} \right) \times 100 \approx 24.2\% \][/tex]

#### Lesotho:
[tex]\[ \text{Old Value} = 155,187 \][/tex]
[tex]\[ \text{New Value} = 165,235 \][/tex]
[tex]\[ \text{Percentage Change} = \left( \frac{165,235 - 155,187}{155,187} \right) \times 100 \approx 6.5\% \][/tex]

#### Mozambique:
[tex]\[ \text{Old Value} = 153,476 \][/tex]
[tex]\[ \text{New Value} = 176,100 \][/tex]
[tex]\[ \text{Percentage Change} = \left( \frac{176,100 - 153,476}{153,476} \right) \times 100 \approx 14.8\% \][/tex]

### 1.3. Which Country Showed the Least % Change Between 2023 and 2024? Give the Percentage Change

Calculate the percentage changes for all countries:

#### Zimbabwe:
[tex]\[ \text{Old Value} = 228,634 \][/tex]
[tex]\[ \text{New Value} = 283,969 \][/tex]
[tex]\[ \text{Percentage Change} = \left( \frac{283,969 - 228,634}{228,634} \right) \times 100 \approx 24.2\% \][/tex]

#### Lesotho:
[tex]\[ \text{Old Value} = 155,187 \][/tex]
[tex]\[ \text{New Value} = 165,235 \][/tex]
[tex]\[ \text{Percentage Change} = \left( \frac{165,235 - 155,187}{155,187} \right) \times 100 \approx 6.5\% \][/tex]

#### Mozambique:
[tex]\[ \text{Old Value} = 153,476 \][/tex]
[tex]\[ \text{New Value} = 176,100 \][/tex]
[tex]\[ \text{Percentage Change} = \left( \frac{176,100 - 153,476}{153,476} \right) \times 100 \approx 14.8\% \][/tex]

#### Eswatini:
[tex]\[ \text{Old Value} = 48,766 \][/tex]
[tex]\[ \text{New Value} = 63,679 \][/tex]
[tex]\[ \text{Percentage Change} = \left( \frac{63,679 - 48,766}{48,766} \right) \times 100 \approx 30.6\% \][/tex]

#### Botswana:
[tex]\[ \text{Old Value} = 24,273 \][/tex]
[tex]\[ \text{New Value} = 26,682 \][/tex]
[tex]\[ \text{Percentage Change} = \left( \frac{26,682 - 24,273}{24,273} \right) \times 100 \approx 9.9\% \][/tex]

#### Malawi:
[tex]\[ \text{Old Value} = 11,671 \][/tex]
[tex]\[ \text{New Value} = 16,038 \][/tex]
[tex]\[ \text{Percentage Change} = \left( \frac{16,038 - 11,671}{11,671} \right) \times 100 \approx 37.4\% \][/tex]

The country with the least percentage change is Lesotho with a percentage change of approximately 6.5%.

### 1.4. Suggest TWO Possible Reasons why Lesotho is so Popular with South Africa

1. Proximity: Lesotho is geographically close to South Africa, making it convenient for South Africans to travel there.
2. Cost: Travel expenses and living costs in Lesotho may be lower compared to other destinations, making it an affordable travel option.

### 1.5. Draw a Bar Graph Representing Tourist Arrivals in January 2024

To create a bar graph representing tourist arrivals in January 2024, follow these steps:

1. Vertical Axis (Y-axis): Tourist arrivals (number of tourists).
2. Horizontal Axis (X-axis): Names of the countries.

Here's the data to be used:
- Zimbabwe: 283,969
- Lesotho: 165,235
- Mozambique: 176,100
- Eswatini: 63,679
- Botswana: 26,682
- Malawi: 16,038

Using this data, you can draw the bar graph with the vertical axis ranging from the highest to the lowest tourist arrivals (i.e., from 0 to around 300,000 for better visibility).

A simple sketch:

```plaintext
|
|
| |
| |
| | |
| | |
| | | |
| | | | |
| | | | | |
| | | | | | |
--------------------------------------------------------------------------------
Zimbabwe Mozambique Lesotho Eswatini Botswana Malawi
```

Each bar represents the tourist arrivals for each country in January 2024.
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