# Nakafa Framework: LLM

URL: https://nakafa.com/en/exercises/high-school/snbt/quantitative-knowledge/try-out/set-6/4

Exercises: Try Out - Set 6: Real exam simulation to sharpen your skills and build confidence. - Problem 4

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## Exercise 4

### Question

export const metadata = {
  title: "Problem 4",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "12/23/2025",
};

From the data <InlineMath math="4" />, <InlineMath math="5" />, <InlineMath math="5" />, <InlineMath math="2" />, <InlineMath math="3" />, <InlineMath math="1" />, <InlineMath math="6" />, which statements are true?

1. Median <InlineMath math="= 4" />.
2. Range <InlineMath math="= 6" />.
3. Range <InlineMath math="-" /> median <InlineMath math="= 1" />.
4. Mean <InlineMath math="= 4.5" />.


### Choices

- [ ] $$(1)$$, $$(2)$$, and $$(3)$$ ONLY are correct.
- [x] $$(1)$$ and $$(3)$$ ONLY are correct.
- [ ] $$(2)$$ and $$(4)$$ ONLY are correct.
- [ ] ONLY $$(4)$$ is correct.
- [ ] ALL choices are correct.

### Answer & Explanation

export const metadata = {
  title: "Problem 4 Solution",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "12/23/2025",
};

Sort the data from smallest to largest:

<MathContainer>
  <BlockMath math="1, 2, 3, 4, 5, 5, 6" />
</MathContainer>

Number of data points <InlineMath math="n = 7" />.

#### Statement 1 Analysis

The median is the <InlineMath math="\frac{n+1}{2} = \frac{8}{2} = 4" />-th value.
The <InlineMath math="4" />-th value is <InlineMath math="4" />.

<MathContainer>
  <BlockMath math="Me = 4" />
</MathContainer>

Statement <InlineMath math="1" /> is **CORRECT**.

#### Statement 2 Analysis

The range is the difference between the maximum and minimum values.

<MathContainer>
  <BlockMath math="Range = x_{max} - x_{min} = 6 - 1 = 5" />
</MathContainer>

Statement <InlineMath math="2" /> is **INCORRECT** (should be <InlineMath math="5" />, not <InlineMath math="6" />).

#### Statement 3 Analysis

Difference between range and median:

<MathContainer>
  <BlockMath math="Range - Me = 5 - 4 = 1" />
</MathContainer>

Statement <InlineMath math="3" /> is **CORRECT**.

#### Statement 4 Analysis

The mean (<InlineMath math="\bar{x}" />) is the sum of all data divided by the number of data points.

<MathContainer>
  <BlockMath math="\bar{x} = \frac{1 + 2 + 3 + 4 + 5 + 5 + 6}{7} = \frac{26}{7} = 3\frac{5}{7}" />
</MathContainer>

The value <InlineMath math="3\frac{5}{7}" /> is not equal to <InlineMath math="4.5" />.
Statement <InlineMath math="4" /> is **INCORRECT**.

#### Conclusion

The correct statements are **<InlineMath math="(1)" /> and <InlineMath math="(3)" />**.


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