Bivariate Data

The box plots show the monthly profits (in thousands of dollars) of two derivatives traders over a year.

Ned |
5 10 15 20 25 30 35 40 45 50 55 60 |

Tobias |
5 10 15 20 25 30 35 40 45 50 55 60 |

a

Who made a higher median monthly profit?

Ned

A

Tobias

B

Ned

A

Tobias

B

b

Whose profits had a higher interquartile range?

Tobias

A

Ned

B

Tobias

A

Ned

B

c

Whose profits had a higher range?

Ned

A

Tobias

B

Ned

A

Tobias

B

d

How much more did Ned make in his most profitable month than Tobias did in his most profitable month?

Easy

Approx 2 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

Evaluate statistical investigations or probability activities undertaken by others, including data collection methods, choice of measures, and validity of findings