Question

The accompanying table contains the average room price in US$) paid by various nationalities while traveling abroad away from their home country) in a certain year. Complete parts (a) through (c) below. Click the icon to view the average room price (in US$) paid by various nationalities. a. Compute the first quartile (Q1), the third quartile (Q3), and the interquartile range. Q1 = - X Average Room Price (US$) Paid by Various Nationalities Q3 = OOD Interquartile range = (Type integers or decimals. Do not round.) 179 174 170 172 161 140 154 153 b. List the five-number summary. Print Done The five-number summary is (Type integers or decimals. Use ascending order. Do not round.) c. Construct a boxplot and describe its shape. Identify the correct boxplot. OA OB. OC. OD. 130 190 Average Price (USS) 130 190 Average Price (USS) 130 190 Average Price (USS) 130 190 Average Price (USS) Describe the shape of the data. The data are because the left tail is the right tail. roughly symmetrical left-skewed right-skewed

Answer 1

i am using minitab to solve the problem.

steps:-

copy the data in minitab and name the column x $1596060324262_blob.png$ stat $1596060324229_blob.png$ basic statistics $1596060324571_blob.png$ display descriptive statistics $1596060324497_blob.png$ in variables select x $1596060324364_blob.png$statistics $1596060324497_blob.png$ tick first quartile., median, third quartile,minimum,maximum$1596060324478_blob.png$ok$1596060324480_blob.png$ok.

*** SOLUTION***

a). $Q_{1}=\mathbf{153.25}$

$Q_{3}=\mathbf{173.50}$

$\mathbf{interquartile\ range}=Q_{3}-Q_{1}=173.50-153.25=\mathbf{20.25}$

b).the five number summary be:-

$\mathbf{140,153.25,165 .50,173.50,179}$

[ in 5 number summary values are written in order mimimum,Q₁, median,Q₃, maximum ]

c).the correct boxplot be:-

O A. Q. HO 130 190 Average Price (USS)

[just plot the 5 number summary ..you will get the boxplot ]

the data are left-skewed. because the left tail is longer than the right tail.

*** if you have any doubt regarding the problem ,please write it in the comment box...if satisfied,please UPVOTE.