Reference no: EM132377637
1.) Sample 1 has a five-number summary of MIN = 54, LOWER QUARTILE = 76, MEDIAN = 81, UPPER QUARTILE = 101, and MAX = 154, while Sample 2 has a five-number summary of MIN = 3, LOWER QUARTILE = 4, MEDIAN = 4, UPPER QUARTILE = 4, and MAX = 5.
a.) By hand, sketch the box plots for both samples side by side, and describe the differences between the distributions.
b.) Using the respective IQR values for the samples you used in part (a), give the values above and below which data would be considered outliers.
2.) A distribution has MEAN = 8.3 and STANDARD DEVIATION = 3.3.
a.) Find the z-score for an observation with value 21.1
b.) Find the z-score for an observation with value 5.8
c.) Find the z-score for an observation with value 20.1
d.) Give the interval for values to be within one standard deviation of the mean.
e.) Give the interval for values to be within two standard deviations of the mean.
3.) A distribution has MEAN = 4998 and STANDARD DEVIATION = 1556.
a.) How many standard deviations from the mean is an observation with value 4222?
b.) How many standard deviations from the mean is an observation with value 11,067?
c.) Give the values above and below which data would be considered outliers.