Question

5) Given the data array 32 33 35 39 40 41 42 42 43 45 49 78 93 a) Give Five Number Summary b) Draw a boxplot. c) Calculate the InterQuartile Range, the Upper Fence, the Lower Fence d) Check for outliers

Answer 1

Solution:

The data in ascending order is:

32.33.35.39.40.41.42.42.43.45.49.78.93

a) The five-number summary is:

Minimum = 32

35 + 39 Q1= +12

Median = 42

45+49 Q3 = +12

Macimum = 93

b) The box plot for the given data is:

ܬܘ r osos 100 ܘܘ 60 ܘ s _ o 30 Variables Boxplot

c)

IQR=Q3 - Q1 = 47 – 37 = 10

Upper - Fence = Q3 +1.5 x IQR= 47 +1.5 x 10 = 62

Lower – Fence = Q1 – 1.5 x IQR= 37 – 1.5 x 10 = 22

d) There are two outliers 78 and 93 in the given data.