Box Plots & Cumulative Frequency (AQA A-Level Mathematics): Flashcards

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Box Plots & Cumulative Frequency
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Five key values used in box plots

Min, Q1Q_1 (lower quartile), median, Q3Q_3 (upper quartile), max

Lower quartile (Q1)(Q1) definition

Median of lower half of data (25th percentile)

Median in box plot

Middle value when data is ordered (50th percentile)

Upper quartile (Q3)(Q3) definition

Median of upper half of data (75th percentile)

What box plots reveal about data

Spread and skewness of the data

Cumulative frequency definition

Number of observations below a particular value

Creating cumulative frequency table

Add each frequency to sum of all previous frequencies

Use of cumulative frequency graph

Estimate median, quartiles, and percentiles

Finding median from cumulative frequency

Value where cumulative frequency is half the total

Percentage of data below upper quartile (Q3)(Q3)

75%

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