Elements of Statistics Benchmark 3

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18 questions

Explain what measures of central tendency are and how ONE OF THEM IS used to find the standard deviation.

For #2-9 use the following set of data:

Weekly salaries (in dollars) for a sample of registered nurses are listed

774, 446, 1019, 795, 908, 667, 444, 960

The mean price of new homes from a sample of houses is $155,000 with a standard deviation of $15,000. the dataset has a bell-shaped distribution. Between what 2 prices do 95% of the houses fall? Show all work on response sheet and explain.

Refer to the sample statistics from the previous problem (#10)  and use z-scores to determine which, if any, of the following home prices are unusual.

$200,000

$55,000

For #15-18 use the following data:

The number of wins for each Major League Baseball team in 2003 are listed.

Elements of Statistics Benchmark 3

Explain what measures of central tendency are and how ONE OF THEM IS used to find the standard deviation.

Elements of Statistics Benchmark 3

Explain what measures of central tendency are and how ONE OF THEM IS used to find the standard deviation.

The mean price of new homes from a sample of houses is $155,000 with a standard deviation of $15,000. the dataset has a bell-shaped distribution. Between what 2 prices do 95% of the houses fall? Show all work on response sheet and explain.

$200,000

$55,000

Find the quartiles of the data. (Q1, Q2, Q3)

Find the interquartile range.

What is the mean of the data? (round to the nearest tenth)

What is the mean of the data? (round to the nearest tenth)

What is the median of the data? (round to the nearest tenth)

What is the mode of the data?

Which of the measures of central tendency best describes a typical salary?

What is the range of the data?

What is the variance of the data? (round to the nearest tenth)

What is the standard deviation of the data? (round to the nearest tenth)

Sketch a graph to represent the situation using the Empirical Rule. Complete on response sheet.

$200,000

$55,000

$175,000

$122,000

Find the quartiles of the data. (Q1, Q2, Q3)

Find the interquartile range.

Construct a box-and-whiskers plot.

Are any of the win totals considered outliers? Explain why and show evidence for support.

What is the mean of the data? (round to the nearest tenth)

What is the mean of the data? (round to the nearest tenth)

What is the median of the data? (round to the nearest tenth)

What is the mode of the data?

Which of the measures of central tendency best describes a typical salary?

What is the range of the data?

What is the variance of the data? (round to the nearest tenth)

What is the standard deviation of the data? (round to the nearest tenth)

Sketch a graph to represent the situation using the Empirical Rule. Complete on response sheet.

$175,000

$122,000

Construct a box-and-whiskers plot.

Are any of the win totals considered outliers? Explain why and show evidence for support.