2.5 Measures of Position

Question 1

Percentile (know definition)

Answer 1

Part of a hundred

Question 2

Quartile

Answer 2

Approximately divide an ordered data set into a equal parts (special cases of percentiles) 25%

Question 3

Interquartile Range (IQR) (know definition)

Answer 3

Difference between the first and third quartile gives an idea of how much the middle 50% of the data varies ; identifies outliers

Question 4

Outliers exist if data value is:

Answer 4

Greater then: Q3 + 1.5 (IQR)
Less than: Q1 - 1.5 (IQR)

Question 5

Box-and-whisker plot

Answer 5

• Uses 5 number summary to create graph
• Shows span and variation of data and outliers

Question 6

5-number summary

Answer 6

1. Minimum
2. First Quartile Q1 (Lower)
3. Median Q2
4. Third Quartile Q3 (Upper)
5. Maximum