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The data set below is the cost (in cents) per 1-ounce serving for a sample of 13

ID: 3355525 • Letter: T

Question

The data set below is the cost (in cents) per 1-ounce serving for a sample of 13 chocolate chip cookies. Complete parts (e) through (d) below. 562029223841 6 41 29 49 23 44 46 a. Compute the mean, median, and the mode. The mean is (Round to two decimal places as needed.) The median is (Type an integer or a decimal.) What is the mode? Select the correct choice below and, if necessary,fill in the answer box to complete your choice. A. The mode(s) is/are O B. There is no mode for this data set b. Calculate the variance, standard deviation, range, and Z scores. Are there any outliers? Explain The variance is (Round to four decimal places as needed.) The standard deviation is (Round to three decimal places as needed.) The range is .(Type an integer or a decimal.) Compute the Z scores for the first five values Type an integer or a decimal. Use a comma to separate answers as needed.) Data 0) Z Score 56 20 29 38 Round to two decimal places as needed.) Compute the Z scores for the next five values. Data 41 Z Score 41 29 49

Explanation / Answer

Solution:-

a. mean = sum of terms/number of terms = 462/13 = 35.5385 = 35.54(rounded)

median = 37

Explanation

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

9   23   24   26   28   28   37   43   45   45   48   50   56   

So, the median is 37 .

=> the mode is/ are 28,45

b.

The variance is 184.9359

The standard deviation is 13.599

The range is 47

=> compute the Z-score Formula : Z = (X-)/

=> option C.

=> option B.

=> option C.

X Z-score 56 1.50 24 -0.85 28 -0.55 23 -0.92 37 0.11 45 0.70 9 -1.95 45 0.70 28 -0.55 48 0.92 26 -0.71 43 0.55 50 1.06
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