Practice MYP MYP Extended Mathematics Topic Variation and Standard Deviation with authentic exam-style questions for both SL and HL students. This question bank focuses on the exact syllabus content for Variation and Standard Deviation and mirrors Paper 1, 2 style where relevant.
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A distribution has and . An observation of is ________ standard deviations above the mean.
Calculate the sample standard deviation for the small sample .
A dataset representing the daily commute times of employees has a mean and a standard deviation . If additional employees are included in the survey, and all of them have a commute time of exactly , which of the following statements best describes the effect on the dataset?
On a box-and-whisker plot, if the central box is very narrow (representing a small interquartile range) compared to the total length of the whiskers (representing a large range), what does this specifically indicate about the data distribution?
In Data Set , the population standard deviation is small (), while in Data Set , it is large (). If both sets share a mean of , in which set is the mean a more representative "typical" value?