Univariate Data

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×`I``Q``R`, where IQR is the interquartile range.

d

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

Easy

Approx 3 minutes

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Plan and conduct surveys and experiments using the statistical enquiry cycle:– determining appropriate variables and measures;– considering sources of variation;– gathering and cleaning data;– using multiple displays, and re-categorising data to find patterns, variations, relationships, and trends in multivariate data sets;– comparing sample distributions visually, using measures of centre, spread, and proportion;– presenting a report of findings