HW2: Statistics

Last updated about 4 years ago

17 questions

Note from the author:

Instructions

1

Library

HW2: Statistics

Last updated about 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}​​​

Instructions

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

The following problems use the data from the table below.

1

The following problems use the data from the table below.

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?

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?

1

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?

1

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.

1

Calculate the standard deviation for the data.

1

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.

1

Calculate the standard deviation for the data.

1

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.

1

Calculate the standard deviation for the data.

1

Calculate the z-score for a data value of 30.

Round to two decimal places.

What does the mean measure?

how much the values in the data vary from the mean

how much the values in the data vary from each other

the value around which the data is centered

the most common value in the data set

What does the standard deviation measure?

the greatest difference in data values

the most common value in the data set

the value around which the data is centered

how much the values in the data vary from the mean

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 7 and the standard deviation is 0.5.

If a data value has a z-score of 2, what is the data value?

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?

The z-score  will be larger because the data are less varied than Ben originally thought.

The z-score will not be affected.

The z-score will be larger because the data are more varied than Ben originally thought.

The z-score will be smaller because the data are less varied than Ben originally thought.

The z-score will be smaller because the data are more varied than Ben originally thought.

Review (check out HW1):

What is one trait that both sample surveys and observational studies have in common, that experiments do not?

Review:

What makes sample surveys different from experiments and observational studies?

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?

sample survey

experiment

observational study

statistics

Calculate the mean of the data.

Calculate the standard deviation for the data.

Calculate the z-score for a data value of 30.

Round to two decimal places.

Calculate the mean of the data.

Calculate the standard deviation for the data.

Calculate the z-score for a data value of 30.

Round to two decimal places.

Calculate the mean of the data.

Calculate the standard deviation for the data.

Calculate the z-score for a data value of 30.

Round to two decimal places.

What does the mean measure?

how much the values in the data vary from the mean

how much the values in the data vary from each other

the value around which the data is centered

the most common value in the data set

What does the standard deviation measure?

the greatest difference in data values

the most common value in the data set

the value around which the data is centered

how much the values in the data vary from the mean

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?

The z-score  will be larger because the data are less varied than Ben originally thought.

The z-score will not be affected.

The z-score will be larger because the data are more varied than Ben originally thought.

The z-score will be smaller because the data are less varied than Ben originally thought.

The z-score will be smaller because the data are more varied than Ben originally thought.

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?

sample survey

experiment

observational study

statistics

HW2: Statistics

HW2: Statistics

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 7 and the standard deviation is 0.5.If a data value has a z-score of 2, what is the data value?

Review (check out HW1):What is one trait that both sample surveys and observational studies have in common, that experiments do not?

Review:What makes sample surveys different from experiments and observational studies?

Calculate the mean of the data.

Calculate the standard deviation for the data.

Calculate the z-score for a data value of 30.Round to two decimal places.

Calculate the mean of the data.

Calculate the standard deviation for the data.

Calculate the z-score for a data value of 30.Round to two decimal places.

Calculate the mean of the data.

Calculate the standard deviation for the data.

Calculate the z-score for a data value of 30.Round to two decimal places.

What does the mean measure?

What does the standard deviation measure?

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 7 and the standard deviation is 0.5.If a data value has a z-score of 2, what is the data value?

Review (check out HW1):What is one trait that both sample surveys and observational studies have in common, that experiments do not?

Review:What makes sample surveys different from experiments and observational studies?

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?

Calculate the mean of the data.

Calculate the standard deviation for the data.

Calculate the z-score for a data value of 30.Round to two decimal places.

Calculate the mean of the data.

Calculate the standard deviation for the data.

Calculate the z-score for a data value of 30.Round to two decimal places.

Calculate the mean of the data.

Calculate the standard deviation for the data.

Calculate the z-score for a data value of 30.Round to two decimal places.

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 7 and the standard deviation is 0.5.

If a data value has a z-score of 2, what is the data value?

Review (check out HW1):

What is one trait that both sample surveys and observational studies have in common, that experiments do not?

Review:

What makes sample surveys different from experiments and observational studies?

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.

Calculate the z-score for a data value of 30.

Round to two decimal places.

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 7 and the standard deviation is 0.5.

If a data value has a z-score of 2, what is the data value?

Review (check out HW1):

What is one trait that both sample surveys and observational studies have in common, that experiments do not?

Review:

What makes sample surveys different from experiments and observational studies?

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?

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.

Calculate the z-score for a data value of 30.

Round to two decimal places.