Mr. Rogers  AP Statistics Objectives 


AP Statistics Delightful Distributions Practice Test  
1  )  If a distribution is skewed to the high side, what is the relationship between the median and the mean? 
2  )  Draw a distribution which is skewed to the right. 
3  )  Name 3 measures of central tendency. 
4  )  Give one example of a distribution which would likely be skewed to the right. 
5  )  Which of the following is true for a symmetrical distribution? a) It can have several peaks b) mean = median c) both answers a and b d) none of the answers 
6  )  If the standard deviation of a data set is 4, what is a reasonable range? 
7  )  If the standard deviation of a data set = 0, you can conclude __________________. 
8  )  When a data set contains an outlier, which measure of variability is affected the least? 
9  )  About how much data is typically found in the interquartile range? 
10  )  Which plot will always consistently identify outliers regardless of who makes the plot? 
11  )  Which plot could be used for categorical data? 
12  )  What can a stem and leaf plot can detect ? 
13  )  What is the relationship between the variance (var) and the standard deviation (std dev)? 
14  )  When a data set has suspected outliers, what are the preferred measures of central tendency and variability? 
15  )  What are the five numbers in a five number summary? 
16  )  Write formulas for the following: 
standard deviation of a sample  
variance of a sample  
standard deviation of a population (hint: Zeus knows all about populations)  
variance of a population  
17 
)  If you add 20 to all your data points what does it do to the mean, median, standard deviation and IQR? 
18 
)  If you multiply all your data points by 2 what does it do to the mean, median, standard deviation and IQR? 
19 
)  What does it mean to say that your IQ is in the 95 percentile? 
20 
) 
Given the following 5 number summary: 1, 3, 5,7, 12 determine
the following

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