Data Analysis
Mean, median, mode, range, graphs and basic probability
Explanation
Mean, Median, Mode, Range
Data set: 4, 7, 7, 9, 13
- Mean (average): sum ÷ count = (4+7+7+9+13)/5 = 40/5 = 8
- Median (middle): put in order, pick the middle value = 7
- Mode (most frequent): 7 appears twice → mode = 7
- Range: max − min = 13 − 4 = 9
Reading Graphs
- Bar graph: compare categories — read the height/length of each bar against the axis.
- Line graph: shows change over time — slope up = increase, slope down = decrease.
- Pie chart: shows parts of a whole — percentages should add to 100%.
Tip: Always check the axis labels and scale before answering.
Probability
Probability = (number of favourable outcomes) ÷ (total number of outcomes)
Always between 0 (impossible) and 1 (certain).
Example: A bag has 3 red and 5 blue marbles. P(red) = 3/8.
P(not red) = 1 − P(red) = 1 − 3/8 = 5/8.
Practice Questions
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