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Shape
Centre
Spread
Unusual features

","mcqOptions":null},{"id":"b71199f4-44df-4cd5-a8bf-647891938af0","cardType":"basic","points":1,"front":"A distribution's sides are approximate mirror images around its centre. What is its shape?","back":"Symmetric.","mcqOptions":null},{"id":"a0b310e7-c499-4a93-a309-871edd8619bf","cardType":"basic","points":1,"front":"A distribution has a long tail towards larger values. What is its skew?","back":"Positive skew, or right skew.","mcqOptions":null},{"id":"40714600-3a10-4ff8-a54e-ee7a5468d947","cardType":"basic","points":1,"front":"A distribution has a long tail towards smaller values. What is its skew?","back":"Negative skew, or left skew.","mcqOptions":null},{"id":"9e22957f-79ea-4246-b1da-b0c999f052f5","cardType":"cloze","points":null,"front":"The direction of skew is determined by the direction of the [ ].","back":"The direction of skew is determined by the direction of the long tail.","mcqOptions":null},{"id":"a83e4b65-fb16-4c3d-b736-8aefa5aa3edf","cardType":"basic","points":1,"front":"For a positively skewed distribution, how do the mean and median usually compare?","back":"The mean is greater than the median.","mcqOptions":null},{"id":"ff924c72-49e7-4ff1-b2ed-5dee9fd44d0d","cardType":"basic","points":1,"front":"For a negatively skewed distribution, how do the mean and median usually compare?","back":"The mean is less than the median.","mcqOptions":null},{"id":"5d68970e-8377-4d39-899e-74cf4b039dbb","cardType":"basic","points":1,"front":"A distribution has two clear peaks. How should its shape be described?","back":"Bimodal.","mcqOptions":null},{"id":"bf9d65c8-1de5-4b49-a584-033158800ad7","cardType":"basic","points":2,"front":"What might bimodality suggest about the data?","back":"The data may combine two different groups.","mcqOptions":null},{"id":"6782c02c-1708-4d2f-a3d8-c561a693ac83","cardType":"basic","points":2,"front":"Which measure of centre is usually more representative for skewed data or data with outliers?","back":"The median, because it resists extreme values.","mcqOptions":null},{"id":"5d2f3ea6-1130-41f0-beb1-1413d9fb73a6","cardType":"cloze","points":null,"front":"For approximately symmetric data without outliers, the [ ] is often a useful measure of centre.","back":"For approximately symmetric data without outliers, the mean is often a useful measure of centre.","mcqOptions":null},{"id":"3c278699-32f6-48ed-89ee-d74cb499ef26","cardType":"basic","points":2,"front":"Why is the range sensitive to outliers?","back":"It uses only the minimum and maximum.","mcqOptions":null},{"id":"34922c22-8377-4c9d-8f8a-5619ba681fe0","cardType":"cloze","points":null,"front":"The interquartile range is $\\text{[...]}$ and measures the spread of the middle 50%.","back":"The interquartile range is $\\boxed{Q_3-Q_1}$ and measures the spread of the middle 50%.","mcqOptions":null},{"id":"6accdd42-d4cd-46c8-a526-5817290d97e1","cardType":"basic","points":2,"front":"Machine A has IQR 6 g and Machine B has IQR 18 g. Which is more consistent?","back":"Machine A - its smaller IQR indicates less variation.","mcqOptions":null},{"id":"05669270-ceb9-4d3f-9007-c33bb9ae332f","cardType":"cloze","points":null,"front":"Under the 1.5 IQR rule, the upper outlier boundary is $\\text{[...]}$.","back":"Under the 1.5 IQR rule, the upper outlier boundary is $\\boxed{Q_3+1.5\\text{IQR}}$.","mcqOptions":null},{"id":"89ef8f77-d5b9-4199-bcfc-1b49c5d5f20a","cardType":"basic","points":3,"front":"For $Q_1=24$ and $Q_3=36$, is 58 an outlier under the 1.5 IQR rule?","back":"Yes - IQR $=12$, upper boundary $=54$, and $58>54$.","mcqOptions":null}]}],"examCountdown":{"examDate":"2027-05-26","paperLabel":"Paper 1"},"heading":"2.2.4 Describe frequency distributions","title":"2.2.4 Describe frequency distributions Flashcards","topbar":{"backHref":"/a-level/maths/ocr/mei/flashcards"},"topicSidebar":"$L37"}]}],"topicId":"752462a7-4eaf-4c22-8aed-b380c2db1bc7","walled":"$L38"}],"$L39","$L3a"]