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🇬🇧 Functional Skills Qualifications · flashcards
Functional Skills Qualifications Functional Skills Maths — Handling Data and Statistics Flashcards
53 question-and-answer cards covering Functional Skills Maths — Handling Data and Statistics as it is examined in Functional Skills Qualifications. 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Functional Skills Maths — Handling Data and Statistics deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
For an ordered list of $n$ values, how do you find the position of the median?
The median is at position $\frac{n+1}{2}$. For example, with $n=9$ values it is the $\frac{9+1}{2}=5\text{th}$ value.
Find the median of the data set $3, 7, 8, 12, 15, 20$.
There are $6$ values, so the median is the mean of the $3\text{rd}$ and $4\text{th}$: $\frac{8+12}{2}=10$.
Find the mean of $4, 6, 9, 5$.
$$\frac{4+6+9+5}{4}=\frac{24}{4}=6$$
Find the mode of $2, 3, 3, 5, 7, 3, 8$.
$3$, because it appears most often (three times).
Which average can be used for categorical (non-numerical) data, such as favourite colour?
Only the mode, because you cannot add or order categories to find a mean or median.
Why can a single very large or very small value (an outlier) make the mean misleading?
Because the mean uses every value in its calculation, an extreme value pulls it towards itself, so it may no longer represent a typical value. The median is less affected by outliers.
Define the range of a data set and give its formula.
The range measures spread. $$\text{range} = \text{highest value} - \text{lowest value}$$
Find the range of $12, 5, 9, 20, 3$.
$20 - 3 = 17$.
What does the range tell you about a data set, and is it an average?
The range tells you how spread out (consistent or variable) the data are — a small range means values are close together. It is a measure of spread, not an average.
When comparing two data sets, which two types of measure should you use together, and why?
An average (mean, median or mode) to compare typical values, and the range to compare consistency/spread. Using both gives a fairer comparison than either alone.
Team A has a higher mean score but a larger range than Team B. What does this tell you?
Team A scores higher on average, but Team B is more consistent/reliable because its smaller range means its scores vary less.
How do you find the mean from a (ungrouped) frequency table?
Multiply each value by its frequency to get $value \times frequency$ for each row, add these up, then divide by the total frequency: $$\text{mean}=\frac{\sum fx}{\sum f}$$
What does it mean to interpret data rather than just read it?
Interpreting means drawing conclusions, spotting trends or patterns, making comparisons, and explaining what the figures mean in context — not just stating individual values.
What is a trend in a data set?
A trend is a general direction or pattern over time or across categories, such as values generally increasing, decreasing, or staying steady.
Why should conclusions drawn from a small sample be treated with caution?
A small sample may not be representative of the whole population, so conclusions based on it may be unreliable and could be due to chance.
On the probability scale, what range of values can a probability take?
Any value from $0$ to $1$ inclusive, $$0 \leq P \leq 1$$ which may be written as a fraction, decimal or percentage.
On the probability scale, what do $0$, $\frac{1}{2}$ and $1$ represent in words?
$0$ = impossible, $\frac{1}{2}$ = even chance (equally likely as not), and $1$ = certain. Values between describe unlikely (near $0$) or likely (near $1$) events.
What is the formula for the probability of an event when all outcomes are equally likely?
$$P(\text{event}) = \frac{\text{number of favourable outcomes}}{\text{total number of possible outcomes}}$$
A fair six-sided dice is rolled. What is the probability of rolling an even number?
Even numbers are $2,4,6$, so $$P(\text{even}) = \frac{3}{6} = \frac{1}{2}$$
What is the formula linking the probability of an event happening to it not happening?
$$P(\text{not } A) = 1 - P(A)$$ because all probabilities of an outcome and its complement add up to $1$.
If the probability it rains tomorrow is $0.3$, what is the probability it does not rain?
$1 - 0.3 = 0.7$.
What is the expected number of times an event occurs over $n$ trials?
$$\text{expected frequency} = P(\text{event}) \times n$$ For example, rolling a $6$ on a fair dice $60$ times: $\frac{1}{6}\times 60 = 10$ times.
When listing the possible outcomes of two events (e.g. two coins), what tool helps ensure you list them all systematically?
A sample space diagram (a two-way grid) or a systematic list, which sets out every combination so none is missed. For two coins: HH, HT, TH, TT.
Two fair coins are tossed. What is the probability of getting two heads?
The outcomes are HH, HT, TH, TT (four equally likely), so $$P(\text{two heads}) = \frac{1}{4}$$
What this deck covers
The Functional Skills Maths — Handling Data and Statistics deck follows the Functional Skills Qualifications Functional Skills Maths — Handling Data and Statistics syllabus — 3 chapters and 10 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 17.7 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 113 characters, which is long enough to carry the reasoning and short enough to say out loud.
A deck like this earns its keep on the second and third pass. Read the syllabus first so you know the shape of the subject, then use the cards to find the specific facts that have not stuck.
Functional Skills Maths — Handling Data and Statistics flashcards FAQ
How many Functional Skills Maths — Handling Data and Statistics flashcards are in this Functional Skills Qualifications deck?
53 cards. This page previews 24 of them, sampled evenly across the deck so you can judge the difficulty before installing anything.
Are these Functional Skills Qualifications flashcards free?
Yes. The preview here is free to read with no signup, and the full 53-card deck is free inside the Examius app.
What do the Functional Skills Maths — Handling Data and Statistics cards cover?
They follow the Functional Skills Qualifications Functional Skills Maths — Handling Data and Statistics syllabus — 3 chapters and 10 topics — so the questions track what is actually examinable.
How should I use these flashcards?
Read the syllabus first so you know the shape of the subject, then drill the deck. Examius schedules each card with spaced repetition, so cards you keep missing come back sooner and ones you know drift further apart.