Answer:
(B), (D) and (E)
Step-by-step explanation:
An outlier is an observation which is quite different or very far from the rest of the given values of the data set.
(A) The given data set is:
14, 21, 24, 25, 27, 32, 35
Since, in the given data set, the values ranges from 14 to 35 in which no outlier is present, thus this data set does not contain any outlier.
thus, this option is incorrect.
(B) The given data set is:
15, 30, 35, 41, 44, 50, 78
In this data set, 78 is an outlier since it is quite far from the rest of the given data values, thus this option is correct.
(C) The given data set is:
16, 32, 38, 39, 41, 42, 58
In the given data set, there is no outlier present, thus this option is incorrect.
(D) The given data set is:
17, 23, 28, 31, 39, 45, 75
In this data set, 75 is an outlier since it is quite far from the rest of the given data values, thus this option is correct.
(E) The given data set is:
18, 30, 34, 38, 43, 45, 68
In this data set, 68 is an outlier since it is quite far from the rest of the given data values, thus this option is correct.
