University of Phoenix Material – Sonya Cargill 11/12/12
Week Five Calculations
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:
• Calculate the mean, median, and mode. Is the distribution skewed to the left or to the right? Mean: 34.5, Mode: 23,33,36, Median: 33 The mean is greater than the median….therefore the distribution should be skewed to the right. • Which is the best measure of central tendency and why? Mean – the data doesn’t have any real outliers and is roughly symmetric. • 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? Standard deviation is: 10.3087. The variation in the number of raisins in a cup of raisin bran could be a result the size flakes or possibly the size of the raisins that may skew the numbers from being equal.
2. The following are monthly rents paid by 30 students who live off-campus.
• Find the mean, median, mode, and standard deviation. Mean: 725 Mode: 730 Median: 720 Standard Deviation: 114.28 • Describe the typical rent paid by a student. 720
• Do the measures of central tendency agree? Explain. Yes, they are pretty close to each other (mean, mode, median) in range. • Are there outliers or unusual data values?...
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