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Numeracy Intermediate November 2024 Unit 1 Q11

WJECIntermediateCurrent spec6 marksBox Plots

11. Geraint has collected data on some adult gulls.
He weighed 400 slender-billed gulls, 400 little gulls, and 400 black-headed gulls.

He has constructed box-and-whisker diagrams to display the masses of the gulls.

Three box-and-whisker diagrams of Mass (g). Slender-billed gulls on a 200 to 300 scale: 220, 260, 280, 288, 296. Little gulls on an 80 to 180 scale: 82, 96, 152, 168, 176. Black-headed gulls on a 200 to 300 scale: 214, 240, 280, 288, 298
(a) What is the range of the masses of the slender-billed gulls? [1]

Range of the masses …………… g

(b) How many of the little gulls have a mass greater than or equal to 96 g? [2]
(c) Write down the percentage of little gulls that have a mass greater than or equal to 168 g. [1]

…………… %

(d)

From the box-and-whisker diagrams, Geraint notices that two of the types of gull have the same median mass.
He makes the following statement about these two types of gull.

“The diagrams suggest that one of these two types of gull generally has a greater mass than the other.”

(i) Which type of gull appears to have the greater mass? [1]
(ii) Geraint based his statement on one of the following measures.
Which measure did Geraint use?
Circle your answer. [1]

Range     Median     Lowest mass     Lower quartile     Upper quartile

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