SAT College

Consider the following two data sets. Data Set 1: 8 16 20 35 Data Set II: 5 13 17 32 Note that each value of the second data set is obtained by subtracting 3 from the corresponding value of the first data set. a. Calculate the mean for each of these two data sets. Comment on the relationship between the two means. b. Calculate the standard deviation for each of these two data sets. Comment on the relationship, between the two standard deviations.

Answers

Answer 1

1. The mean for each of these two data sets is 0.058.

2. The standard deviation for each of these two data sets is 0.465.

3. It should be noted that the mean of the days set II is 3 less than the data set of I.

How to calculate the mean of the data set?

1. From the information, the value of the second data set is obtained by subtracting 3 from the corresponding value of the first data set. In order to calculate the mean for each of these two data sets, this will be:

P(X > 7) = P[(X - U/SD > (7 - 5.9)/0.7]

where sd = standard deviation

= P(Z > 1.57)

= 0.058 (Checking the distribution table)

2. The standard deviation for each of these two data sets will be:

P(52.55 < x < 56.15)

= P[(52.55 - 54.2)/2.9 < x - u/sd < (56.15 - 54.2)/2.9]

= P(-0.57 < z < 0.67)

= 0.749 - 0.284

= 0.465

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Related Questions

Information and knowledge: Which one is obtained from the other?

Answers

Answer:

Information is obtained from knowledge because you can utilize your current knowledge to learn new information.

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