I'm having a little trouble with this question:
A boxplot is drawn for the following data:
0.31; 0.82; 0.85; 1.26; 1.95; 2.18; 2.47; 3.01; 3.75; 60.7
It is noted that the last value was wrongly recorded as 60.7 instead of 6.07. What will be the effect on the boxplot of replacing 60.7 by 6.07?
A. Change the location of the median AND the length of the upper whisker
B. Change the width of the box only.
C. Change the length of the upper whisker, only
D. Change the width of the box (ie Q3 − Q1), AND the length of the upper whisker
E.Change the location of the median, the width of the box, AND the length of the upper whisker.
So far I have managed to eliminate D and B but I am not sure about the other options. Could anyone help? :)
A boxplot is drawn for the following data:
0.31; 0.82; 0.85; 1.26; 1.95; 2.18; 2.47; 3.01; 3.75; 60.7
It is noted that the last value was wrongly recorded as 60.7 instead of 6.07. What will be the effect on the boxplot of replacing 60.7 by 6.07?
A. Change the location of the median AND the length of the upper whisker
B. Change the width of the box only.
C. Change the length of the upper whisker, only
D. Change the width of the box (ie Q3 − Q1), AND the length of the upper whisker
E.Change the location of the median, the width of the box, AND the length of the upper whisker.
So far I have managed to eliminate D and B but I am not sure about the other options. Could anyone help? :)
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Your original data are ordered with a maximum = 60.7 and a median = 2.065 (there are 10 values, so the median is the average of the middle two numbers: (1.95 + 2.18)/2 ).
Replacing 60.7 with 6.07 changes the maximum to 6.07, but the order of the numbers has not changed -- the median is still the average of the middle two numbers. Likewise, the quartiles have not changed.
Inter-quartile Range
Min Max Median Q1 Q3 ( Q3 - Q1 )
Original data: 0.31 60.70 2.065 .8425 3.195 2.3525
Corrected data 0.31 6.07 2.065 .8425 3.195 2.3525
A. FALSE: the median does not change
B. FALSE: the width (height?) of the box does not change.
C. TRUE
D. FALSE: the inter-quartile range does not change
E. FALSE: only the upper whisker changes
Replacing 60.7 with 6.07 changes the maximum to 6.07, but the order of the numbers has not changed -- the median is still the average of the middle two numbers. Likewise, the quartiles have not changed.
Inter-quartile Range
Min Max Median Q1 Q3 ( Q3 - Q1 )
Original data: 0.31 60.70 2.065 .8425 3.195 2.3525
Corrected data 0.31 6.07 2.065 .8425 3.195 2.3525
A. FALSE: the median does not change
B. FALSE: the width (height?) of the box does not change.
C. TRUE
D. FALSE: the inter-quartile range does not change
E. FALSE: only the upper whisker changes