OURCES Question S Mother Ages The Odum Institute for Research in Social Science
ID: 3368812 • Letter: O
Question
OURCES Question S Mother Ages The Odum Institute for Research in Social Science at the University of North Carolina makes available data on all births that occur in the state of North Carolina. John Holcomb of Cleveland State University selected a random sample of in the year 2005. Summary statistics for the age of the mother (in years) appear below 500 births 26.882 Mean Study Std. Dev.6.354 13 Min 26 32 50 Max a. Determine how young, and how old, a mother would have to be in order to be considered an outlier. Outliers would be outside the range b. Based on the summary statistics provided, can you tell whether there are any outliers in this sample? Explain. You can tell that there wasoutlier because c. Based on the summary statistics provided, can you tell how many outliers are in this sample? Explain. You tell how many outliers there are in this sample because d. Suppose that a student mistakenly determines the cutoff values for outliers to be 12 and 42 years old. Try to figure out what mistake this student made e. Suppose that a student mistakenly determines the cutoff values for outliers to be 11 and 41 years old. Tty to figure out what mistake this student made. Click if you would like to Show Work for this question:Open Show WorkExplanation / Answer
Result:
IQR = Q3-Q1 = 32-22 =10
a)..
lower limit = Q1-1.5*IQR = 22-1.5*10 = 7
upper limit = Q3+1.5*IQR = 32+1.5*10 =47
outliers would be outside the range of (7, 47).
b).
since the maximum value outside the range(7, 47) there are outliers in the data.
c). since we are not having the actual data, we cannot tell how many values are outliers.
d).
He took cut off values as IQR instead of 1.5IQR
lower limit = Q1-1*IQR = 22-1*10 = 12
upper limit = Q3+1*IQR = 32+1*10 =42
e).
He took cut off values as
lower limit = Q1-1.1*IQR = 22-1.1*10 = 11
upper limit = Q3+0.9*IQR = 32+0.9*10 =41
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