QNT/565 QNT 565 QNT565 Week 5 Calculations - A+ Guaranteed!

Week Five Calculations

QNT/565

University of Phoenix, Axia College

Original, cited, no plagiarism

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Read the following scenarios, and answer the accompanying questions.

1.       Statistics students were asked to fill a one-cup measure with raisin bran, then tap the cup lightly on the counter three times to settle the contents. If necessary, they were instructed to add more raisin bran to bring the contents exactly to the one-cup line, then spread the contents on a large plate, and count the raisins. The 13 students who chose Kellogg’s Raisin Bran obtained the results shown below:

23       33       44       36       29       42       31       33       61       36       34       23       24

·         Calculate the mean, median, and mode. Is the distribution skewed to the left or to the right?

·         Which is the best measure of central tendency and why?

·         Calculate the standard deviation. Why is there variation in the number of raisins in a cup of raisin bran? Why might it be difficult for Kellogg’s to reduce variation?

2.       The following are monthly rents paid by 30 students who live off-campus.

730                         730                         730                         930                         700                         570

690                         1030                       740                         620                         720                         670

560                         740                         650                         660                         850                         930

600                         620                         760                         690                         710                         500

730                         800                         820                         840                         720                         700

·         Find the mean, median, mode, and standard deviation.

·         Describe the typical rent paid by a student.

·         Do the measures of central tendency agree? Explain.

·         Sort and standardize the data.

·         Are there outliers or unusual data values?

·         Do you think the data could come from a normal population?