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Stats04

True/False
Indicate whether the statement is true or false.
 
 
INSTRUCTIONS:
The following questions are in a True/False format. The answers to these questions will frequently depend on remembering facts, understanding of the concepts, and knowing the statistical vocabulary. Before answering these questions, be sure to read them carefully!
 

 1. 

The trimmed mean is less sensitive to outliers than is the mean.
 

 2. 

The mean is the middle value of an ordered data set.
 

 3. 

One disadvantage of using the mean as a measure of center for a data set is that its value is affected by the presence of even a single outlier in the data set.
 

 4. 

The variance is the positive square root of the standard deviation.
 

 5. 

For any given data set, the median must be greater than or equal to the lower quartile, and less than or equal to the upper quartile.
 

 6. 

For data that is skewed to the right, tf006-1.jpg.
 

 7. 

By definition, an outlier is "extreme" if it is more than 3.0 iqr away from the closest quartile.
 

 8. 

According to Chebyshev's rule, the fraction of observations that are within 3 standard deviations of the mean is at least eight-ninths.
 

 9. 

When using a 20% trimmed mean, the largest 10% and the smallest 10% of the observations are discarded for calculation purposes.
 

 10. 

When the histogram of a data set is closely approximated by a normal curve, the standard deviation and the interquartile range are very close to equal on average.
 

 11. 

The interquartile range is resistant to the effect of outliers.
 

 12. 

If there are no outliers, a skeletal and modified boxplot can differ in the length of the box, but not in the whisker lengths.
 



 
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