Elements of Statistics Benchmark 3
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Last updated about 1 year ago
18 questions
6
Explain what measures of central tendency are and how ONE OF THEM IS used to find the standard deviation.
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
3
What is the mean of the data? (round to the nearest tenth)
What is the mean of the data? (round to the nearest tenth)
3
What is the median of the data? (round to the nearest tenth)
What is the median of the data? (round to the nearest tenth)
3
What is the mode of the data?
What is the mode of the data?
3
Which of the measures of central tendency best describes a typical salary?
Which of the measures of central tendency best describes a typical salary?
3
What is the range of the data?
What is the range of the data?
3
What is the variance of the data? (round to the nearest tenth)
What is the variance of the data? (round to the nearest tenth)
3
What is the standard deviation of the data? (round to the nearest tenth)
What is the standard deviation of the data? (round to the nearest tenth)
6
Sketch a graph to represent the situation using the Empirical Rule. Complete on response sheet.
Sketch a graph to represent the situation using the Empirical Rule. Complete on response sheet.
8
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.
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.
3
$200,000
$200,000
3
$55,000
$55,000
3
$175,000
$175,000
3
$122,000
$122,000
For #15-18 use the following data:
The number of wins for each Major League Baseball team in 2003 are listed.
5
Find the quartiles of the data. (Q1, Q2, Q3)
Find the quartiles of the data. (Q1, Q2, Q3)
3
Find the interquartile range.
Find the interquartile range.
5
Construct a box-and-whiskers plot.
Construct a box-and-whiskers plot.
5
Are any of the win totals considered outliers? Explain why and show evidence for support.
Are any of the win totals considered outliers? Explain why and show evidence for support.