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Apply statistics across unfamiliar problems: original cases with explanations after your first response.
Paper packet. Every task here also exists on screen, where it is checked automatically; answers written on paper are not assessed by Nydus. When you are back at a device, enter your answers there.
Retain frequencies and group sizes when computing summaries. Identify which measure responds to shifting, scaling, adding or replacing observations.
What is the mode of 2,3,3,5,5,5,8?
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In a data set, 11 occurs 4 times, 12 occurs 7 times and 13 occurs 5 times. What is the mode?
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The percentile rank is defined here as 100 times the fraction of observations strictly below a value. In 4,6,6,9,10, what is the percentile rank of 9?
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A score has exactly 72 of 90 comparison scores strictly below it. Under the strictly-below definition, what is its percentile rank?
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Using population standard deviation (divide squared deviations by n), what is the standard deviation of 2 and 8?
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Using population standard deviation, what is the variance of 1,1,5,5?
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Four numbers have mean 8. Three are 2,7 and 10. What is the fourth?
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In the data 2,4,6,8,100, how much greater is the mean than the median?
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A class of 15 has mean 70 and a class of 25 has mean 86. What is the combined mean?
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For 1,3,6,10,14,20, define quartiles as medians of the lower and upper halves. What is the interquartile range?
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How many real values of x make the mean of 2,5,9,x equal to the median of that list?
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Rebuild the ordered data or weighted total to check the result; an unweighted average of group means can hide unequal sample sizes.