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Numeracy Higher November 2023 Unit 1 Q5

WJECHigherCurrent spec4 marksBox Plots

5. Eva grows three varieties of organic potato on her farm: Maris Piper, King Edward and Desiree.
She weighs and records the masses of 400 potatoes of each of the 3 varieties.

Eva constructs box-and-whisker diagrams for the masses of the potatoes weighed.

Three box-and-whisker diagrams on grids, Mass (g) from 50 to 100: Maris Piper, King Edward and Desiree
(a) Complete each of the following statements.
(i)

The ………………………… potatoes have the highest median mass.

The median mass of these potatoes is …………… g. [1]

(ii) The range of the masses recorded for the Maris Piper potatoes is …………… g. [2]
(b) In the future, Eva wants to grow potatoes that are quite similar in size.

Use the box-and-whisker diagrams to advise Eva which of these three varieties of potato she should grow. [1]

Select which variety of potato she should grow.

Maris Piper ☐    King Edward ☐    Desiree ☐

Select the measure you used to help you decide.

Median ☐    Interquartile range ☐    Lower quartile ☐

Select a reason for your choice of measure.

The measure is greater than for the other 2 varieties ☐
The measure is less than for the other 2 varieties ☐

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