Question: Q 4 5 6 pls
1. Problem 4: Identify which interview question collects ordinal categorical data.
2. Explanation: Ordinal categorical data represents categories with a meaningful order but no fixed interval between categories.
3. Analysis of options:
- A. Height in cm is numerical (continuous).
- B. Number of people is numerical (discrete).
- C. City or town of birth is nominal categorical (no order).
- D. Agree, Unsure, Disagree is ordinal categorical because these responses have a natural order.
4. Final answer for Q4: D
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5. Problem 5: Determine if the loaded truck can cross the bridge with the given load limit.
6. Given:
- Number of beams = 10
- Mass per beam = 75 kg
- Mass of truck = 1.45 tonnes = 1450 kg
- Load limit = $$3.6 \times 10^3$$ kg = 3600 kg
7. Calculate total mass of beams:
$$10 \times 75 = 750 \text{ kg}$$
8. Calculate total loaded truck mass:
$$1450 + 750 = 2200 \text{ kg}$$
9. Compare total mass to load limit:
$$2200 < 3600$$ so the truck can cross with all beams.
10. Calculate spare load capacity:
$$3600 - 2200 = 1400 \text{ kg}$$
11. Check options:
- A. 70 kg spare (incorrect)
- B. 35 kg spare (incorrect)
- C. Remove one beam? Not needed
- D. Remove two beams? Not needed
12. None of the options match the calculation exactly, but since the truck is well under the limit, the closest correct interpretation is that it can cross with all beams and spare load is 1400 kg.
13. Since options do not match, the best fit is that the truck will pass with spare load, but none of the given options are correct.
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14. Problem 6: Calculate dividend Ali receives.
15. Given:
- Shares = 500
- Purchase price = 4.65 (not needed for dividend calculation)
- Dividend yield = 6.2% = 0.062
16. Dividend per share:
$$5.00 \times 0.062 = 0.31$$
17. Total dividend:
$$500 \times 0.31 = 155$$
18. Final answer for Q6: A (155.00)
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Summary:
- Q4 answer: D
- Q5 answer: None of the options exactly correct, truck can cross with all beams and 1400 kg spare
- Q6 answer: A