HW2: Statistics
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Last updated almost 4 years ago
17 questions
Note from the author:
Unless otherwise specified, round any decimals to the nearest tenth.
Standard Deviation Calculator.
Formulae
\sigma = standard deviation (SD)
N = size of the data (number of values)
\mu = mean
x_{i}​ = data value​
z = z-score
\mu = \frac{\sum x_{i}}{N}​​​​​​
z = \frac{x-\mu}{\sigma}​​​
Unless otherwise specified, round any decimals to the nearest tenth.
Standard Deviation Calculator.
Formulae
\sigma = standard deviation (SD)
N = size of the data (number of values)
\mu = mean
x_{i}​ = data value​
z = z-score
\mu = \frac{\sum x_{i}}{N}​​​​​​
z = \frac{x-\mu}{\sigma}​​​
The following problems use the data from the table below.
1
Calculate the mean of the data.
Calculate the mean of the data.
1
Calculate the standard deviation for the data.
Calculate the standard deviation for the data.
1
Calculate the z-score for a data value of 30.
Round to two decimal places.
Calculate the z-score for a data value of 30.
Round to two decimal places.
The following problems use the data from the table below.
1
Calculate the mean of the data.
Calculate the mean of the data.
1
Calculate the standard deviation for the data.
Calculate the standard deviation for the data.
1
Calculate the z-score for a data value of 30.
Round to two decimal places.
Calculate the z-score for a data value of 30.
Round to two decimal places.
The following problems use the data from the table below.
1
Calculate the mean of the data.
Calculate the mean of the data.
1
Calculate the standard deviation for the data.
Calculate the standard deviation for the data.
1
Calculate the z-score for a data value of 30.
Round to two decimal places.
Calculate the z-score for a data value of 30.
Round to two decimal places.
1
What does the mean measure?
What does the mean measure?
1
What does the standard deviation measure?
What does the standard deviation measure?
1
The mean of a data set is 17 and the standard deviation is 1.2.
What is the z-score of a data value of 15, to the nearest hundredth?
The mean of a data set is 17 and the standard deviation is 1.2.
What is the z-score of a data value of 15, to the nearest hundredth?
1
The mean of a data set is 7 and the standard deviation is 0.5.
If a data value has a z-score of 2, what is the data value?
The mean of a data set is 7 and the standard deviation is 0.5.
If a data value has a z-score of 2, what is the data value?
1
Ben calculated the mean and standard deviation of a certain data set, then found the z-score for a certain data value. He then checked his work and realized that the true standard deviation for the data was much larger than he originally calculated.
If he recalculates the z-score for the same data value using the new, larger standard deviation, how will the new z-score compare with the old one?
Ben calculated the mean and standard deviation of a certain data set, then found the z-score for a certain data value.
He then checked his work and realized that the true standard deviation for the data was much larger than he originally calculated.
If he recalculates the z-score for the same data value using the new, larger standard deviation, how will the new z-score compare with the old one?
1
Review (check out HW1):
What is one trait that both sample surveys and observational studies have in common, that experiments do not?
Review (check out HW1):
What is one trait that both sample surveys and observational studies have in common, that experiments do not?
1
Review:
What makes sample surveys different from experiments and observational studies?
Review:
What makes sample surveys different from experiments and observational studies?
1
ReviewA researcher studies differences in career paths between men and women. He collects data from colleges on how many men and women are in each major.
What type ofstudy is this?
Review
A researcher studies differences in career paths between men and women. He collects data from colleges on how many men and women are in each major.
What type ofstudy is this?