Enter the data sets. Record what the standard deviation is for each data set and

Question

Enter the data sets. Record what the standard deviation is for each data set and answer the questions below. Data set 1: 0, 0, 0, 100, 100, 100 Data set 2: 0, 20, 40, 60, 80, 100 Data set 3: 0, 40, 45, 55, 60, 100 Note that all three data sets have a median of 50. Notice how spread out the points are in each data set and compare this to the standard deviations for the data sets. Describe the relationship you see between the amount of spread and the size of the standard deviation and explain why this connection exists. Do not give your calculations in your answer—explain in sentence form.

Explanation / Answer

Here, the variance of data set:

SD(data-set1)=54.77

SD(data-set2)=37.42

SD(data-set3)=32.40

the data set3 has less standard deviation because data-set3 has fewer spread data in comparison to the other two data-set.

and the data set1 has the greater standard deviation because data-set1 has long spread data in comparison to the other two data-set.

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