Problem 2 Consider the following data set: 3, 7, 1, 1,74 a) Calculate the mean,

Question

Problem 2 Consider the following data set: 3, 7, 1, 1,74 a) Calculate the mean, median, variance and standard deviation for the data b) Suppose the instrument taking these measurements introduces a systematic error (also called a "bias") that adds 5 to each of the numbers. How are the mean and standard deviation of this new dataset related to the original values? c) Suppose the measurements are made in different units, which multiplies each number by 2 and then adds 4. How are the means and standard deviation of this new dataset related to the original values?

Explanation / Answer

a) given data (sort)

1 1 3 4 7 7

Mean =3.8333

Median=3.5

Sd=2.714

Var=7.3667

b)

Add 5 to each number,then data

6 6 8 9 12 12

Mean=8.8333

Median=8.5

Sd=2.7141

Var=7.3667

3)6 6 10 12 18 18

Mean=11.6667

Median= 11

Sd=5.4283

Var=29.46667

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