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CanadaON
Grade 12

Using a fence to find outliers

Interactive practice questions

Consider the dot plot below.

a

Determine the median, lower quartile score and the upper quartile score.

Median $=$= $\editable{}$

Lower quartile $=$= $\editable{}$

Upper quartile $=$= $\editable{}$

b

Hence, calculate the interquartile range.

c

Calculate $1.5\times IQR$1.5×IQR, where IQR is the interquartile range.

d

An outlier is a score that is more than $1.5\times IQR$1.5×IQR above or below the Upper Quartile or Lower Quartile respectively. State the outlier.

Easy
2min

VO2 Max is a measure of how efficiently your body uses oxygen during exercise. The more physically fit you are, the higher your VO2 Max. Here are some people’s results when their VO2 Max was measured.

$46,27,32,46,30,25,41,24,26,29,21,21,26,47,21,30,41,26,28,26,76$46,27,32,46,30,25,41,24,26,29,21,21,26,47,21,30,41,26,28,26,76

Easy
9min

A set of data has the following five-number summary.

Easy
2min

A set of data has the following box plot.

Easy
1min
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Outcomes

12D.D.1.5

Interpret statistical summaries to describe the characteristics of a one-variable data set and to compare two related one-variable data sets; describe how statistical summaries can be used to misrepresent one-variable data; and make inferences, and make and justify conclusions, from statistical summaries of one-variable data orally and in writing, using convincing arguments

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