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Year 10 Maths Advanced Single Variable and Bivariant Statistics

Boxplots

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Question 1
27415

A factory recorded the number of faulty items it made each day for 24 days. The results are shown below. Draw a box plot of the data and use it to answer the questions.

\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 the box plot from one end of the whiskers to the other?
b) What is this length called?
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?

Part a: a)  
21
1 mark
Part b:
A.
Range
Correct
B.
Interquartile range
C.
Median
Part c: c)  
25
1 mark
Part d: d)  
8
1 mark
Part e:
A.
Longer
Correct
B.
Shorter
C.
Exactly equal
Part f:
A.
Closer to the lower quartile
Correct
B.
Closer to the upper quartile
C.
Exactly midway

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