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STA1010 - Statistical methods for science - S2 2025

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Identify potential outliers, if there are any, in the given data. Use by hand calculation ONLY (not Excel).

The ages of the 21 members of a track and field team are listed below.

16, 18, 18, 19, 22, 23, 24,

24, 24, 25, 25, 26, 26, 27,

28, 28, 30, 32, 33, 40, 42

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test scores of 19 students are listed below. Find the value of the range.

91 99 86 54 72

85 97 91 90 66

82 83 78 88 77

80 92 94 98

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Either by hand, MS Excel or using the special function on your calculator, calculate the standard deviation of the following set of numbers:

27     41     38     31     29     30

Give your answer correct to one decimal place.

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Either by hand, MS Excel or using the special function on your calculator, calculate the standard deviation of the following set of numbers:

16     23     31      42     59     63     69     15

Give your answer correct to one decimal place.

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Match each of the symbols in the following formula with its meaning from the list provided:

 

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Marks on a test are out of 40. The mean mark is 28 with standard deviation 5. Marks have to be rescaled to be out of 20. The mean, correct to one decimal place,  of the rescaled marks is

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The students in a VCE math class took an Aptitude Test. Their math scores are shown below.

55, 67, 36, 60, 69, 44, 41, 66, 70, 82

What was the mean score for the class?

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A survey based on a random sample of 1000 students found that 1% of these students, when asked by the professor doing the survey, admitted to having cheated on at least one exam. The results of this study, if applied to all students in the university, are questionable because of

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A poll is planned to determine what proportion of all students favor an increase in fees to support a new track and field stadium. Questionnaires will be left on tables by the student union. When 1000 questionnaires are completed, the results will be reported. What is the main problem with this study design?

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A company has 500 employees and would like to select a simple random sample of 25 of them for a study.

Of the following, only one fits the definition of a simple random sample. Which one is it?

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