Chapter 3 Section 3: Meaures Of Relative Position

Question 1

Percentiles

Answer 1

Values that divide the data into 100 equal parts; each percentile indicates approx what percentage of the data lie at or below a given value

Question 2

Quartiles

Answer 2

Q1: first quartile: 25%
Q2: second quartile: 50%
Q3: third quartile: 75%

Question 3

Hinge

Answer 3

An approximation of the first or third quartile found by using the median to divide the data set into an upper half and a lower half (without including the median in either half) and then finding the median of either half of the data set

Question 4

Five-number summary

Answer 4

1) smallest value
2) Q1
3) Q2
4) Q3
5) largest value

Question 5

Box plot

Answer 5

A graphical representation of a five number summary, sometimes referred to as a “box and whisker plot”

Question 6

Standard score (z-score)

Answer 6

Indicates how many standard deviations from the mean a particular data value lies

Question 7

Location of data value for the Pth percentile

Answer 7

L=n*(P/100)

1) if the formula results in a decimal value for L, the location is the next largest whole number
2) if the formula results in a whole number, the percentiles value is the arithmetic mean of the data value in that location and the data value in the next larger location

Question 8

Interquartile range

Answer 8

Q3-Q1