The accompanying table contains the average room price (in US$) paid by various
ID: 3270306 • Letter: T
Question
The accompanying table contains the average room price (in US$) paid by various nationalities while traveling abroad (away from their home country) in a certain year. Complete parts (a) through (c) below.
175 169 176 172 163 144 152 156
a. Compute the first quartile
(Upper Q 1Q1),
the third quartile
(Upper Q 3Q3),
and the interquartile range.
Upper Q 1Q1
equals=
Upper Q 3Q3
equals=
Interquartile range
equals=
(Type integers or decimals. Do not round.)
b. List the five-number summary.
Upper Q 1Q1
equals=
Upper Q 3Q3
equals=
Interquartile range
equals=
(Type integers or decimals. Do not round.)
Explanation / Answer
GIVEN 175 169 176 172 163 144 152 156
Keeping them in order
144 152 156 163 169 172 175 176
min =144
max =176
median = (163+169) /2 =166
Q1 first quartile is (152+156)/2 = 154
Q3 THIRD QUARTILE IS (172+175)/2=173.5
IR =Q3-Q1 = 173.5-154=19.5
B) The five-number summary for a data set consists of the minvalue, the first quartile, the median, the third quartile, and the maximum value
so the data is
144 154 166 173.5 176