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Statistik Penjualan

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Statistik Penjualan


1. **Stating the problem:** Given monthly book sales data for 12 months in 2024, verify which statements about mode, median, mean, and quartile deviation are true. 2. **Extracting approximate data from the graph:** The sales points are roughly: $$200, 300, 400, 450, 420, 600, 700, 850, 600, 400, 250, 250$$. 3. **Mode (most frequent value):** From data, 250 appears twice (months 11 and 12), others appear only once, so mode is 250, not 250 stated as 250 or 250? In the question mode is 250 stated as 250, but sales at last two months are 250, confirming mode is 250. 4. **Median (middle value of sorted data):** Sort data: $$200, 250, 250, 300, 400, 400, 420, 450, 600, 600, 700, 850$$. Median for 12 values is average of 6th and 7th values: $$\frac{400 + 420}{2} = 410$$ not 375 as claimed, so median is approximately 410. 5. **Mean (average):** Sum all values: $$200 + 300 + 400 + 450 + 420 + 600 + 700 + 850 + 600 + 400 + 250 + 250 = 5720$$ Mean is: $$\frac{5720}{12} \approx 476.67$$ which is more than 400. 6. **Quartile deviation (Q.D.):** Q1 is 3rd value: 300, Q3 is 9th value: 600 $$Q.D. = \frac{Q3 - Q1}{2} = \frac{600 - 300}{2} = 150$$ which matches the statement. 7. **Summary:** - (1) Mode = 250 (Correct) - (2) Median = 410 not 375 (Incorrect) - (3) Mean > 400 (Correct) - (4) Quartile deviation = 150 (Correct) 8. **Answer:** Statements (1), (3), and (4) are correct, so option not listed exactly; closest is option B (1 and 3), but also statement (4) is correct. Since only options given are (1),(2),(3), or (1),(3), or (2),(4), or (4) only, or all correct. Only option with (1) and (3) which are true is B but misses (4) also correct. Thus answer is **D (4) only true is false, (4) is true**; best matching is **all true is incorrect** because median is false. Hence the correct is (1), (3), and (4) true but option missing. Given the choices, (1) and (3) only true is B - best fit. Final decision: **B**