The following data represent the pulse rate of ten randomly selected females stepping up and down on a 6-inch platform for 3 minutes. Pulse is measured in beats per minute. 136 169 120 128 129 143 115 146 96 86 Are there any potential outliers?
a. |
No outliers because the "good" range is between 73 and 185. |
|
b. |
No outliers because the "good" range is between 151.07 and 102.53. |
|
c. |
No outliers because all values are within 2 standard deviations of the mean. |
|
d. |
No outliers because the "good" range is between 78.26 and 175.34 |
|
e. |
No outliers because all values are within 1 standard deviations of the mean. |
The correct option is A
No outliers because the "good" range is between 73 and 185.
Explanation:
Checking for Outliers
Q1 = First Quartile = Middle of First Half of Data Set = 115
Q3 = Third Quartile = Middle of Second Half of Data Set = 143
IQR = Interquartile Range = Q3 - Q1 = (143) - (115) = 28
Lower Fence = Q1 - 1.5*(Interquartile Range) = 73
Upper Fence = Q3 + 1.5*(Interquartile Range) = 185
Note: A data value is considered to be an outlier if it is less
than the lower fence or greater than the upper fence.
List of Outlier(s):
No Outliers
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