QUESTION 4 For the following set of observations 12, 15, 17, 19, 24, 34, 34, 40,

ID: 3054751 • Letter: Q

Question

QUESTION 4

For the following set of observations

12, 15, 17, 19, 24, 34, 34, 40, 40, 40, 45, 47, 50, 52, 53, 70, 85, 90, 100, 120, 125

(Round ALL answers to two decimal places. X.XX)

a) Find the quartiles.

b) Find the five-number summary

c) Find the inter-quartile range

IQR =

d) Find the LOWER LIMIT

LL =

e) Find the UPPER LIMIT

UL =

f) Identify the potential outliers. List them in order, separating each with a comma. Write NPO if there are no potential outliers.

POTENTIAL OUTLIERS (DO NOT USE SPACES)

(a) Here Total data numbers in data set = 21

so n = 21 (odd)

Quartile 1 = Q1 = (n + 3)/4 th number = 6th number = 34

Quartile 2 = Q2 = (n + 1)/2 th number = 11th number = 45

Quartile 3 = Q3 = 3(n + 3)/4 th number = 16th number = 70

(b) Five Number summary

Minimum = 12

Q1 = 34

Q2 = 45

Q3 = 70

Maximum = 125

(d) Lower limit = Q1 - 1.5 IQR = 34 - 1.5 * 36 = -20

(e) Upper Limit = Q3 + 1.5 IQR = 70 + 1.5 * 36 = 124

(f) Here NPO as there is no potential outlier here.

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