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Measures of Location and Spread

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Question 40

The distance travelled by 100 people to an event is summarised below.

Distance (nearest mile)Frequency
0 – 94
10 – 1919
20 – 2941
30 – 3926
40 – 499
50 – 591

You may use: the median distance is 26.1, the mean distance is 26.51 and the standard deviation is 101.5624\sqrt{101.5624}101.5624​

a.

Use linear interpolation to verify that the median distance is 26.1.

[2]
b.

Use the mean distance to calculate ∑fx\sum fx∑fx.

[2]
c.

Use the standard deviation to calculate ∑fx2\sum fx^2∑fx2.

[2]
Markscheme

Measures of Location and Spread Questions

  1. A Level
  2. /Maths
  3. /Measures of Location and Spread

96 exam-style questions on Edexcel A Level Maths Measures of Location and Spread, covering 2.1 Measures of Central Tendency, 2.2 Other Measures of Location, 2.3 Measures of Spread, 2.4 Variance and Standard Deviation, and 2.5 Coding. Each one has a worked solution and a mark scheme showing where the marks go.

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