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Laabri

HW2: Statistics

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Last updated over 4 years ago
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Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:
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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
Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Calculate the mean of the data.

1
Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Calculate the standard deviation for the data.

1
Asemmisa {{asɛmmisaAhyɛnsode}}
3.

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
Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Calculate the mean of the data.

1
Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Calculate the standard deviation for the data.

1
Asemmisa {{asɛmmisaAhyɛnsode}}
6.

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
Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Calculate the mean of the data.

1
Asemmisa {{asɛmmisaAhyɛnsode}}
8.

Calculate the standard deviation for the data.

1
Asemmisa {{asɛmmisaAhyɛnsode}}
9.

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

Round to two decimal places.

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

What does the mean measure?

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11.

What does the standard deviation measure?

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12.

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?

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13.

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?

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14.

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?

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

Review (check out HW1):

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

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16.

Review:

What makes sample surveys different from experiments and observational studies?

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17.

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?