Range, quartiles and interquartile range (AQA GCSE Statistics): Flashcards
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How to calculate range for grouped data?
How to calculate range for grouped data?
Range = largest value - smallest value of intervals.
Calculate the range for weights: 45kg to 65kg.
Calculate the range for weights: 45kg to 65kg.
Range = 65 - 45 = 20kg.
What is Q₁ position formula for total frequency n?
What is Q₁ position formula for total frequency n?
Q₁ position = n / 4.
Calculate Q₂ position for n = 120.
Calculate Q₂ position for n = 120.
Q₂ position = 120 / 2 = 60th value.
How to find Q₃ using cumulative frequency?
How to find Q₃ using cumulative frequency?
Q₃ position = 3n / 4.
Estimate Q₁ for cumulative frequency of 30.
Estimate Q₁ for cumulative frequency of 30.
Use linear interpolation in the relevant class.
What is the formula for IQR?
What is the formula for IQR?
IQR = Q₃ - Q₁.
Calculate IQR if Q₁ = 4.5km, Q₃ = 14km.
Calculate IQR if Q₁ = 4.5km, Q₃ = 14km.
IQR = 14 - 4.5 = 9.5km.
What does '45 ≤ w < 50' mean?
What does '45 ≤ w < 50' mean?
45 is included, 50 is not included.
Why use linear interpolation for quartiles?
Why use linear interpolation for quartiles?
It estimates values within class intervals accurately.