Question

The file Mobile Commerce contains the following mobile commerce penetration values, the percentage of the country population that bought something online via a mobile phone in the past month, for twenty-eight of the world’s economies:

17 15 15 13 27 12 20 23 9 9 16 6 19 14

11 14 8 15 23 11 37 17 11 19 27 18 18 15

a. Compute the first quartile, the third quartile and interquartile range

b. List the five number summary

Answer 1

Given data

in ascending order X=6,8,9,9,11,11,11,12,13,14,14,15,15,15,15,16,17,17,18,18,19,19,20,23,23,27,27,37

a)for first quartile

there are 28 samples we arrenge it in ascending order and divide it in two equal parts from center parts then we get 14 samples in each part. the median of the first 14 sample gives the first quartile .so

Q1=(11+12)/2=11.5

third quartile ,the median of last 14 sample willl gives us the third quartile

Q3=(19+19)/2=19

interquartile range =Q3-Q1=19-11.5=7.5

b)Five number summery for the data

Step--1 arranging the data in ascending order

in ascending order X=6,8,9,9,11,11,11,12,13,14,14,15,15,15,15,16,17,17,18,18,19,19,20,23,23,27,27,37

Step 2)--- finding the maximum and minimum of the sasmple

miniumum=6

maximum=37

step3)---Now finding thee median

median =(15+15)/2=15

step 4)----Finding the Q1 and Q3

Q1=11.5

Q3=19

Step 5)---Summery of the work i.e. five number summery

minumum=6 ,    Q1=11.5 ,   median =15 ,   Q3=19    ,maximum=37