5 Answer the following questions completely using proper gra

5. Answer the following questions completely, using proper grammar, complete sentences, and correct terminology:

           a. Explain what it means to have a standard deviation of 0.

           b. Without doing any calculations, is it possible to tell which of the following 2 sets has a higher standard                    deviation?           

           Explain your answer.

                 Set 1 = {1,2,3,4,5,6,7,8}

                 Set 2 = {2,4,6,8,10,12,14,16}

Solution

Q5.) a.) Standard deviation refers to no. of elements differ from the mean value of the group of numbers.

Zero standard deviation refers to that all the elements in the group are equal.

b.) Yeah, you can guess the solution by looking at the data. The data which is more continuous that means in a less range will have less standard deviation than that of the data which is in greater range.

In this example, no. of elements for both sets are same but range for set1 is less i.e., 1-8 while for set2 range is 2-16. Since, set2 has higher range therefore set2 has higher standard deviation.

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