Example 31

EXAMPLE 31 The five-number summary for a small data set

Find the five-number summary for the state export data from Table 22, which is repeated here for convenience as Table 26.

stateexports

Table 3.95: Table 26 State export data, in millions of dollars, June 2014

State	VA	NC	NJ	GA	PA	OH	MI	FL	LA	IL	WA	NY
Exports ($ millions)	1.6	2.7	3.3	3.5	3.5	4.6	4.7	4.8	5.0	5.8	7.5	7.7

Solution

From Example 28, we have the quartiles of the export data: $Q 1 = 3.4$ , $median = Q 2 = 4.65$ , and $Q 3 = 5.4$ . From Table 26, the minimum is Virginia's 1.6 and the maximum is New York's 7.7, which are all in millions of dollars. Thus, the fve-number summary is:

$Minimum = 1.6$
$First quartile, Q 1 = 3.4$
$Median = Q 2 = 4.65$
$Third quartile, Q 3 = 5.4$
$Maximum = 7.7$

NOW YOU CAN DO

Exercises 7–8, 13–14, and 19–20.