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Year 10 Maths Advanced Single Variable and Bivariant Statistics

Boxplots

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Question 1
27415

The number of defective items produced and detected in a machine shop floor, due to inaccurate dimensions or shape, were recorded on a daily basis as below

\begin{array}{llllll} 26 & 27 & 32 & 22 & 36 & 26 \\ 23 & 31 & 22 & 19 & 25 & 34 \\ 32 & 19 & 29 & 17 & 23 & 24 \\ 25 & 35 & 18 & 22 & 15 & 28 \end{array}

a) What is the length of boxplot from one end to other
b) By what common name do we know this length?
c) What is the Median?
d) What is the Interquartile range?
e) Is the lower whisker longer or shorter than the upper whisker, or are they exactly equal?
f) Is the median closer to the lower quartile, the upper quartile, or is it exactly midway?

a) 21 b) Range c) 25 d) 8 e) Longer f) Closer to the lower quartile

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