Respuesta :
Answer:
(i) Outlier is present
(ii) Outlier is not present.
Step-by-step explanation:
The outlier is said to be present in data if:
The minimum number then Q₁ - 1.5 × IQR
and maximum number then 1.5 × IQR - Q₃
is present in data.
(i) For high quality site we have five number summary is: (0, 7.5, 80, 122.5, 440)
Thus, Minimum Value = 0
First Quartile(Q₁) = 7.5
Median = 80
Third Quartile(Q₃) = 122.5
Maximum Value = 440
Thus, IQR = Q₃ - Q₁ = 115
then, Q₁ - 1.5 × IQR = -165
and, 1.5 × IQR + Q₃ = 295
Since, the minimum value and maximum value is 0 and 440 respectively thus, 440 is larger than 295.
Hence, Outlier is present in this data.
(ii) For low quality site we have five number summary is: (0, 0, 0, 42.5, 185)
Thus, Minimum Value = 0
First Quartile(Q₁) = 0
Median = 0
Third Quartile(Q₃) = 42.5
Maximum Value = 185
Thus, IQR = Q₃ - Q₁ = 42.5
then, Q₁ - 1.5 × IQR = -63.75
and, 1.5 × IQR + Q₃ = 248.75
Since, the minimum value and maximum value is 0 and 185 respectively thus, no value is less than and more than -63.75 and 248.75 respectively.
Hence, no outlier is present in this data.
