IB Business Management SL Topic 6 — The Toolkit in Practice Paper 1 & 2 Exam skill ~13 min read

Applying Business Plans and Descriptive Statistics

This is the toolkit question that asks you to calculate first and argue second. The statistics are straightforward marks if you show your working. The business plan question is where the judgement lives — and the trap is assuming a good plan guarantees the loan.

📚 What you need to know

The case study

Selkie Kayak Tours runs guided sea-kayak trips from a small harbour town, using two boats and a team of four guides. It has traded for eleven years and has a clear mission to be the best small-group operator on its stretch of coast.

The owners want to expand into larger corporate group trips, which means buying a bigger support vessel. They have drawn up a business plan and will approach their local bank for finance of at least $350,000. They have carried out limited primary and secondary research: an analysis of their own online reviews, and a price list for four second-hand vessels.

Review ratingScoreNumber of reviews
Excellent5312
Very good448
Average315
Poor29
Terrible16
VesselPriceCapacity
Harrow 12$340,00012 passengers
Kestrel SE$395,00014 passengers
Marnock 400$420,00016 passengers
Voss Ranger$480,00016 passengers
Selkie Kayak Tours: 390 online reviews Heavily skewed to the top, which is exactly why the mean is so high. EXCELLENT (5) VERY GOOD (4) AVERAGE (3) POOR (2) TERRIBLE (1)312 48 15 9 6These are reviews people chose to leave, not a random sample. Happy and furious customers write reviews. Everyone in between rarely does.
Worth saying in an evaluation: online reviews are self-selected, so a 4.7 average is encouraging rather than proof.

The questions, with model answers

(a)

Define the term “primary market research”. [2]

Answer Primary market research is the collection of original, first-hand data by a business for its own purpose, ✓ using methods such as surveys, interviews, focus groups or observation. ✓ definition plus examples. The examples secure the second mark.
(b)(i)

Calculate the mean review rating, to one decimal place. [2]

Step 1 — total the number of reviews 312 + 48 + 15 + 9 + 6 = 390 reviews Step 2 — total the rating points (312 × 5) + (48 × 4) + (15 × 3) + (9 × 2) + (6 × 1) = 1,560 + 192 + 45 + 18 + 6 = 1,821 Step 3 — divide and round 1,821 ÷ 390 = 4.669… Mean rating = 4.7 (1 d.p.) multiply each score by how many reviews gave it. Averaging 5,4,3,2,1 to get 3 is the classic error.
(b)(ii)

Calculate the median price of the four vessels. [2]

Step 1 — put the prices in order $340,000 / $395,000 / $420,000 / $480,000 Step 2 — with an even number of values, take the middle two $395,000 and $420,000 Step 3 — find the halfway point ($395,000 + $420,000) ÷ 2 = $815,000 ÷ 2 Median price = $407,500 an even number of values has no single middle, so you average the middle two.
(c)

Explain one advantage and one disadvantage to Selkie of calculating the standard deviation of monthly bookings. [4]

Advantage It uses all the data to show how much bookings swing month to month, which would help Selkie plan how many of its four guides it needs across a season rather than staffing to an average. ✓✓ Disadvantage It is more complex to calculate and interpret than a mean, and as a small operator with two boats and four guides, Selkie is unlikely to employ anyone with the statistical skill to use it properly. ✓✓ the second mark in each pair comes from naming the guides and the boats.
(d)

Discuss the implications for Selkie Kayak Tours of producing a business plan. [10]

Paragraph 1 — define and link A business plan sets out a firm’s objectives, market, operations and financial forecasts. Selkie needs one mainly to support a request for at least $350,000 to buy a larger vessel. Paragraph 2 — first implication, balanced The plan lets the bank judge whether Selkie can repay upwards of $350,000, using eleven years of trading and a 4.7 average rating as evidence of a working business. However, those reviews are self-selected rather than a proper sample, and the corporate market it wants to enter is not one it has ever served. Paragraph 3 — second implication, balanced Writing it forces research Selkie has not yet done, since its current work is limited to its own reviews and four vessel prices. But an effective plan takes time and expertise, and a firm with four guides and two boats may have neither to spare in season. Paragraph 4 — a further chain Its clear mission to be the best small-group operator should make the plan focused. That same mission, though, sits awkwardly with larger corporate groups, and the plan may expose a conflict between growth and what the business is known for. Paragraph 5 — conclusion with limitations Producing the plan is worth it, since the cost is time and the benefit is a decision worth $350,000 or more. The plan will influence the bank rather than decide it, as credit history and how convincingly the owners present the case also matter. The case study does not give Selkie’s past profits or say how large the corporate market is, and both would determine whether the vessel is affordable at all. paragraph 4 is what lifts this: it uses the mission statement against the expansion, which most students miss.
Use your own calculated figures later in the essay. Quoting the 4.7 mean you worked out in part (b) inside your part (d) answer is exactly the kind of application examiners reward, and it costs you nothing.

💡 Exam tip

⚠ Common mix-up

Up next: Scoring Full Marks on 2-Mark Questions — with the content and the toolkit covered, the remaining marks come from exam technique.

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