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Box Plots and Quartiles

Chapter summary, hard words and model exam answers for ICSE Class 10 Hindi.

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Mathematics · CBSE 10 · ICSE 10 · GCSE (AQA, Edexcel, OCR)

Summary

Q1 is the median of the lower half, Q3 the median of the upper half. The median itself is Q2. Always sort the data first.

It ignores the extreme ends, so a single outlier does not distort it. A small IQR means consistent data.

It shows five numbers in one diagram. The box is the middle half; the whiskers show the full reach.

A box further right means higher values overall. A narrower box means more consistent data. Always comment on both.

Hard words & meanings

quartileone of three values that divide ordered data into four equal parts
interquartile rangethe difference Q3 − Q1, the spread of the middle 50%
medianthe middle value of ordered data, also called Q2
box plota diagram of a box and two whiskers showing the five-number summary
whiskera line from the box out to the minimum or maximum value
cumulative frequencya running total of frequencies up to each class
outliera value far from the rest, beyond Q1 − 1.5×IQR or Q3 + 1.5×IQR
skewlack of symmetry shown by unequal whiskers or box halves
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