Question

The following data represents the time of infection, at the point of insertion of the catherter, for kidney patients using portable dialysis equipment. There are 38 patients, and the date give the first observation for each patient. Determine the following:

Line 1: 2 5 6 7 7 8 12 13

Line 2: 15 15 17 22 22 23 24 27

Line 3: 30 34 39 53 54 63 96 113

Line 4: 119 130 132 141 149 152 152 185

Line 5: 190 292 402 447 536 551

a) the 5-number summary for the data

b) calculate any outliers using the IQR method (see pg. 90)

c) draw a boxplot and attach a picture or screenshot of the data

Answer 1

a) 5 point summary:      

Minimum =    2

First quartile, Q1 = 0.25(n+1)th value = 9.75 th value of sorted data = 15

Median = 0.5(n+1)th value =   19.5   th value of sorted data =    46

Third quartile, Q3 = 0.75(n+1)th value = 29.25 th value of sorted data = 149.75

Maximum = 551

b) IQR = Q3 - Q1 = 149.75 - 15 = 134.75   

Lower Fence = Q1 - 1.5*IQR =    -187.125

Upper Fence = Q3 + 1.5*IQR =    351.875

Outliers = 402, 447, 536, 551

e) Boxplot:

Boxplot