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2.2 Data presentation and interpretation

2.2 Data presentation and interpretation

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Question 29

Ten values have mean 10. Nine of the values are

5, 7, 8, 8, 9, 11, 12, 14, 15 5,\ 7,\ 8,\ 8,\ 9,\ 11,\ 12,\ 14,\ 15\,5, 7, 8, 8, 9, 11, 12, 14, 15

For this question, a value is defined to be an outlier if it is less than Q1−1.5(Q3−Q1)Q_1 - 1.5(Q_3-Q_1)Q1​−1.5(Q3​−Q1​) or greater than Q3+1.5(Q3−Q1)Q_3 + 1.5(Q_3-Q_1)Q3​+1.5(Q3​−Q1​).

a.

Find the tenth value.

[2]
b.

Show that the standard deviation of the ten values is exactly 3.

[3]
c.

Find, using set notation, the set of values that would be classed as outliers for this data set.

[3]
Markscheme

2.2 Data presentation and interpretation Questions

  1. A Level
  2. /Maths
  3. /2.2 Data presentation and interpretation

105 exam-style questions on WJEC A Level Maths 2.2 Data presentation and interpretation, covering 2.2.1 Data presentation and interpretation, 2.2.2 Data presentation and interpretation, 2.2.3 Data presentation and interpretation, 2.2.4 Data presentation and interpretation, 2.2.5 Data presentation and interpretation, 2.2.6 Data presentation and interpretation, 2.2.7 Data presentation and interpretation, 2.2.8 Data presentation and interpretation, and 2.2 Data presentation and interpretation. Each one has a worked solution and a mark scheme showing where the marks go.

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