In: Statistics and Probability
A plant pathologist used a spectrophotometer to measure the light absorbance of light (wavelength 500 nm) by a protein solution. The 26 measurements were as follows:
.121 .115 .135 .114 .099 .121 .107 .107 .103 .110 .106 .106 .098 .116 .148 .098 .121 .123 .124 .122 .106 .133 .114 .102 .123 .119
a. Calculate the sample mean, rounding appropriately.
b. Calculate the sample standard deviation, rounding appropriately.
c. Find the 5-number summary for this data. (6 points) d. Identify any outliers that exist for this data, using the method discussed in text.
Solution-
a) & b)
c)
d)
For outliers we calculated interval( Q1 -1.5*IQR , Q3+ 1.5*IQR)
(0.098 , 0.146)
The one observation is out of this interval.
The 0.148 is outlier in this data.