Calculate the range for the following set of data:

134, 86, 141, 59, 123, 45
 

A sample of size 40 yields the following sorted data. Note that I have x-ed out x(39) (the second largest number). This fact will NOT prevent you from answering the questions below.

(a) Calculate range, IQR, and median of these data.

(b) Given that the mean of these data is 63.50 (exactly) and the standard deviation is 12.33, what proportion of the data lie within one standard deviation of the mean?

(c) How does your answer to (b) compare to the empirical rule approximation?

(d) Ralph decides to delete the smallest observation, 14.1, from these data. Thus, Ralph has a data set with n = 39. Calculate the range, IQR, and median of Ralph’s new data set.

(e) Refer to (d). Calculate the mean of Ralph’s new data set.

Calculate the percent relative average deviation and the percent standard deviation of the mean of the following sets of numbers:

 

For the following data set, calculate the 90% confidence interval.