For Questions 5-7, use the following narrative Narrative: Create data Suppose yo

Question

For Questions 5-7, use the following narrative Narrative: Create data Suppose you can create your own data set by choosing from the numbers 1, 2, 3, 4, and 5. You can repeat a number as many times as you wish, as long as your final data set contains four numbers in it. Here are two examples of data sets you could create: {1, 2, 3, 4} or {1, 1, 5, 5}. 1. {Use Create data narrative} Create a data set that has the lowest possible standard deviation. (4 points) 2. {Use Create data narrative} Create a data set that has mean 3 and standard deviation 0. (4 points) 3. Which of the following two data sets has the larger standard deviation: Data Set A= {1, 1, 5, 5} or Data Set B= {1, 3, 3, 5}? (4 points)

Explanation / Answer

1) data set that has the lowest possible standard deviation ={1,1,1,1} (for data set with same elements have 0 deviation cause each element is equal to mean}

2)

data set that has mean 3 and standard deviation 0 ={3,3,3,3}

3)

Data set A has the larger std deviaiton ; as its indiviudal values are farther from mean value 3

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