Question

# The data show the distance​ (in miles) from an airport of a sample of 22 inbound...

The data show the distance​ (in miles) from an airport of a sample of 22 inbound and outbound airplanes. Use technology to answer parts​ (a) and​ (b). a. Find the data​ set's first,​ second, and third quartiles. b. Draw a​ box-and-whisker plot that represents the data set. 4.3 5.5 2.6 4.1 5.8 5.6 4.3 3.1 5.5 3.1 2.1 4.9 2.6 4.3 3.5 4.8 5.6 4.8 4.9 2.5 2.3 4.7 a. Find the three quartiles. Upper Q 1 equals nothing Upper Q 2 equals nothing Upper Q 3 equals nothing ​(Type integers or decimals. Do not​ round.)

By using the technology we have to answers parts a) and b)

By using R software we can give answers.

a) We have to find the data​ set's first,​ second, and third quartiles.

R codes and output.

data<-c(4.3,5.5,2.6,4.1,5.8,5.6,4.3,3.1,5.5,3.1,2.1,4.9,2.6,4.3,3.5,4.8,5.6,4.8,4.9,2.5,2.3,4.7)

quantile(data)

quantile(data)
0% 25% 50% 75% 100%
2.1 3.1 4.3 4.9 5.8

First quartile = Q1 = 3.1

Second quartile = Q2 = 4.3

Third quartile = Q3 = 4.9

b) Now we have to plot a boxplot.

R codes and output.

boxplot(data)