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2 Unit AS 2: Applied Mathematics

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Question 52

Children from two schools A and B took part in a competition to complete a puzzle. The distribution of times taken, to the nearest minute, by children in school A are shown in the box plot below.

a.

Write down the time by which 75% of the children in school A had completed the puzzle.

[1]
b.

State what the two crosses (x) represent on the box plot above. Interpret these in context.

[2]
c.

For school B the shortest time taken was 6 minutes, the longest time taken was 22 minutes and the quartiles were 12, 15 and 17 minutes respectively. A value that is greater than Q3+1.5×(Q3−Q1)Q_3 + 1.5 \times (Q_3 - Q_1)Q3​+1.5×(Q3​−Q1​) or smaller than Q1−1.5×(Q3−Q1)Q_1 - 1.5 \times (Q_3 - Q_1)Q1​−1.5×(Q3​−Q1​) is defined as an outlier. Determine if there are any outliers.

[4]
d.

Draw a box plot for this information.

[3]
e.

Compare the two distributions.

[3]
Markscheme

2 Unit AS 2: Applied Mathematics Questions

  1. A Level
  2. /Maths
  3. /2 Unit AS 2: Applied Mathematics

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