Answer:
Step-by-step explanation:
Given the following data:
31.5 32.9 33.0 28.6 37.2 43.3 45.9 37.2 68.8 36.2 35.5 31.5 32.9 33.0 28.6 37.2 43.3 45.9 37.2 68.8 36.2 35.5 40.5 37.2 45.3 36.1 45.5 42.3 33.3 30.3 37.2 45.5 54.3 37.2 49.8 32.1 39.3 40.3 44.2 28.4 46.0 47.2 32.8 32.2 38.5 44.5 44.6 40.9 29.5 41.3 35.4
Value ___frequency____relative frequency %
28.4_______1 __________1. 96
28.6_______2__________3.92
29.5_______1___________1.96
30.3_______1___________1.96
31.5_______2___________3.92
32.1_______1____________1.96
32.2_______1___________1.96
32.8_______1___________1.96
32.9_______2___________3.92
33________2___________3.92
33.3_______1___________1.96
35.4_______1___________1.96
35.5_______2___________3.92
36.1________1___________1.96
36.2_______2___________3.92
37.2_______7___________13.73
38.5_______1____________1.96
39.3_______1____________1.96
40.3_______1____________1.96
40.5_______1____________ 1.96
40.9_______1____________1.96
41.3_______1 ____________1.96
42.3______1_____________1.96
43.3______2____________ 3.92
44.2______1 _____________1.96
44.5______1 _____________1.96
44.6_____ 1 ______________1.96
45.3_____1 _______1.96
45.5_____2 ______3.92
45.9_____2 ______3.92
46______1 _______1.96
47.2_____1 _______1.96
49.8_____1 _______1.96
54.3____1________1.96
68.8____2________3.92
Lower outlier = Q1 - (1.5 × IQR)
Upper outlier = Q3 + (1.5 × IQR)
IQR = Interquartile range ;
Q1 = 1/4(n+1)th term
Q3 = 3/4(n+1)th term
IQR = Q3 - Q1
n = number of observations = 51
Q1 = (51 + 1)/4= 52/4 = 13 th term = 33
Q3 = 3(51 + 1) /4 = 156/4 = 39th term = 44.5
IQR = 44.5 - 33 = 11.5
LOWER OUTLIER = 33 - (1.5*11.5) = 33 - 17.25 = entries < 15.75
UPPER OUTLIER = 44.5 + (1.5*11.5) = 44.5 + 17.25 = 61.75
Entries > 61.75
