Consider a sample data set with the summary statistics =58, QL=71, and QU=186. a
ID: 3359361 • Letter: C
Question
Consider a sample data set with the summary statistics =58, QL=71, and QU=186.
a. Calculate IQR.
b. Calculate IQR/s.
c. Is the value of IQR/s approximately equal to 1.3? What does this imply?
What does this imply?
A. The ratio IQR/s isapproximately equal to 1.3, which is evidence that the data are from an approximately normal distribution.
B. The ratio IQR/s is approximately equal to 1.3, which is evidence that the data may not be from an approximately normal distribution.
C. The ratio IQR/s is not approximately equal to 1.3, which is evidence that the data are from an approximately normal distribution.
D. The ratio IQR/s is not approximately equal to 1.3, which is evidence that the data may not bemay not be from an approximately normal distribution.
Explanation / Answer
a. Here IQR = 186 - 71 = 115
b. IQR/s = 115/58 = 1.9827
c. HEre we can say that The ratio IQR/s is not approximately equal to 1.3, which is evidence that the data may not bemay not be from an approximately normal distribution. As for the norma distribution data IQR/s is around 1.3