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2 Unit 2: Applied Mathematics A

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Question 95

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 Unit 2: Applied Mathematics A Questions

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

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