IB Business Management SLTopic 6 — The Toolkit in PracticePaper 1 & 2Exam 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
Calculation questions want the steps written out, not just the answer.
Order the data before finding a median or a quartile.
Round only at the end, and to the number of decimal places the question asks for.
A business plan supports a finance application; it does not decide it.
For a small firm, the time and expertise needed to write a good plan is a genuine cost.
Comment on the research behind the numbers: how big the sample was, and where it came from.
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 rating
Score
Number of reviews
Excellent
5
312
Very good
4
48
Average
3
15
Poor
2
9
Terrible
1
6
Vessel
Price
Capacity
Harrow 12
$340,000
12 passengers
Kestrel SE
$395,000
14 passengers
Marnock 400
$420,000
16 passengers
Voss Ranger
$480,000
16 passengers
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 reviews312 + 48 + 15 + 9 + 6 = 390 reviewsStep 2 — total the rating points(312 × 5) + (48 × 4) + (15 × 3) + (9 × 2) + (6 × 1)= 1,560 + 192 + 45 + 18 + 6 = 1,821Step 3 — divide and round1,821 ÷ 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 ÷ 2Median price = $407,500an 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
Weight the ratings. A mean from a frequency table needs each score multiplied by its count.
Order data before finding a median, and average the middle two if there is an even number.
Round at the very end, to the accuracy the question asks for.
Question the sample. Self-selected reviews and small data sets are fair evaluation points.
Say the plan influences the decision rather than making it. That single sentence shows judgement.
Look for a conflict between the firm’s mission and its growth plan. It is often hiding in the first paragraph.
⚠ Common mix-up
Averaging the scores 5, 4, 3, 2 and 1 without weighting them by how many reviews gave each.
Taking the second of four values as the median. With an even count you need the midpoint of the middle two.
Rounding halfway through and carrying the error into the final answer.
Treating a high average rating as proof of demand. It measures past customers, not future ones.
Claiming the plan guarantees the loan. It supports the application.
Ignoring the size of the business when discussing whether it can write a good plan.
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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