ANSWER SHEET. 13 Mr Makhod wa Muthememal I liency karhet Mamila High School His Cirade 12 Us TABLE 3 and the miommation abowc to anmoct the quastions that follow. 13.1 Writ down the nember of leamens that erpriceent the sample sure and the namber (3) of leamers thal repriscot the population wir: (2) 132 Which rype of graph would best represeur the dura ahove? 133 Give a reason why the seore of $$ 4 \% $$ es cornuds rod to be an outher (2) 1.3.4 Sute whecher the data is diserene or continuous (2) 13.5 Arrange the dala in ascending order. (2) 136 Detemnine, as a deximal, the prohuhality of randomly xlocting a leuruer who scored less than 30 h, from TABLE 3 abows, (3) 1.37 Write down the unit ratio, in the form I: ... For the number of learnens who scored less than $$ 50 \% $$ - ta the todal number of the lamess who wrote the contry test. (3) $$ 137] $$

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To solve the questions based on the provided information, let's break down each part step by step.

### 13.1
**Question:** Write down the number of learners that represent the sample size and the number of learners that represent the population.

**Solution:**
- The sample size is the total number of learners in the sample.
- The population size is the total number of learners in the entire group.

Assuming the data from TABLE 3 provides these numbers, you would extract them directly from the table. For example:
- Sample size: $$ n_s $$
- Population size: $$ n_p $$

### 13.2
**Question:** Which type of graph would best represent the data above?

**Solution:**
- The type of graph that best represents the data depends on the nature of the data (categorical or numerical). Common options include:
  - Bar graph for categorical data.
  - Histogram for continuous numerical data.
  - Pie chart for proportions.

### 13.3
**Question:** Give a reason why the score of $$ 4\% $$ is considered to be an outlier.

**Solution:**
- A score of $$ 4\% $$ is considered an outlier if it is significantly lower than the other scores in the dataset. This can be determined by comparing it to the mean and standard deviation of the scores. If it falls outside the range defined by $$ \text{mean} - 2 \times \text{standard deviation} $$ or $$ \text{mean} + 2 \times \text{standard deviation} $$, it can be classified as an outlier.

### 13.4
**Question:** State whether the data is discrete or continuous.

**Solution:**
- Data is discrete if it consists of distinct, separate values (e.g., number of learners). It is continuous if it can take any value within a range (e.g., scores). In this case, since we are dealing with scores, the data is continuous.

### 13.5
**Question:** Arrange the data in ascending order.

**Solution:**
- To arrange the data in ascending order, you would list the scores from the lowest to the highest based on the values provided in TABLE 3.

### 13.6
**Question:** Determine, as a decimal, the probability of randomly selecting a learner who scored less than $$ 30\% $$ from TABLE 3.

**Solution:**
- The probability $$ P $$ can be calculated using the formula:
$$
P = \frac{\text{Number of learners who scored less than } 30\%}{\text{Total number of learners}}
$$
Assuming you have the counts from TABLE 3, you would substitute those values into the formula.

### 13.7
**Question:** Write down the unit ratio, in the form $$ 1:... $$ for the number of learners who scored less than $$ 50\% $$ to the total number of learners who wrote the country test.

**Solution:**
- The unit ratio can be expressed as:
$$
\text{Unit Ratio} = 1 : \frac{\text{Number of learners who scored less than } 50\%}{\text{Total number of learners}}
$$
You would calculate this ratio based on the counts from TABLE 3.

### Summary
To finalize the answers, you would need to extract specific numerical values from TABLE 3 for the sample size, population size, scores, and counts of learners. If you provide those values, I can assist with the calculations for probability and ratios.
To answer the questions, you need to refer to TABLE 3 and use the provided data to: 1. **13.1:** Identify the sample size and population size. 2. **13.2:** Choose the appropriate type of graph for the data. 3. **13.3:** Explain why a score of 4% is an outlier. 4. **13.4:** Determine if the data is discrete or continuous. 5. **13.5:** List the data in order from lowest to highest. 6. **13.6:** Calculate the probability of selecting a learner with a score less than 30%. 7. **13.7:** Express the ratio of learners scoring less than 50% to the total number of learners. Ensure you use the specific numbers from TABLE 3 to perform these calculations.

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