Back to Topic 4.3 — Central tendency & spread
4.3.3Math AA SL SL9 flashcards

Quartiles & IQR

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Card 1 of 94.3.3
4.3.3
Question

How do you find the median of an ordered list?

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All 9 Flashcards — Quartiles & IQR

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Card 1concept

Question

How do you find the median of an ordered list?

Answer

It is the middle value (for odd n) or the mean of the two middle values (for even n).

Card 2definition

Question

What is the lower quartile Q1?

Answer

The median of the lower half of the ordered data.

Card 3definition

Question

What is the upper quartile Q3?

Answer

The median of the upper half of the ordered data.

Card 4concept

Question

For odd n, do you include the median in the halves?

Answer

No — leave the median out of both halves before finding the quartiles.

Card 5formula

Question

What is the range?

Answer

Maximum − minimum.

Card 6formula

Question

What is the interquartile range?

Answer

IQR = Q3 − Q1, the spread of the middle 50%.

Card 7concept

Question

Why is the IQR preferred to the range when there are outliers?

Answer

The IQR uses only the quartiles, so extreme values barely change it.

Card 8concept

Question

For an even number of values, what is the median?

Answer

The mean of the two middle values.

Card 9concept

Question

On Paper 2, how do you get the quartiles quickly?

Answer

Enter the data in a list and run 1-Var Stats — it lists Q1, Med and Q3.

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IB Math AA SL Quartiles & IQR Flashcards | 4.3.3 | Aimnova | Aimnova