What is the relationship between the variance and the standard deviation?
a. The variance is the square root of the standard deviation.
b. The variance is the square of the standard deviation.
c. The variance is twice the standard deviation.
d. There is no relationship between them.
Q. 2Explain what is meant by the standard deviation in terms that a non-statistician would understand.
Q. 3Which 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?
Q. 4Suppose 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. Create a data set that has mean 3 and standard deviation 0.
Q. 5Suppose 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. Create a data set that has the lowest possible standard deviation.
Q. 6A(n) __________ is any value that is more than 1.5 times the IQR from the closest end of the box in a boxplot.
Fill in the blank(s) with correct word
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