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2.2.12 Variance and standard deviation

2.2.12 Variance and standard deviation

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Question 1

The grouped heights of 60 tomato plants are shown.

Height h (cm)140<h≤150150<h≤160160<h≤170170<h≤180180<h≤200Frequency71015199\begin{array}{c|ccccc}\text{Height }h\text{ (cm)}&140<h\leq150&150<h\leq160&160<h\leq170&170<h\leq180&180<h\leq200\\\hline\text{Frequency}&7&10&15&19&9\end{array}Height h (cm)Frequency​140<h≤1507​150<h≤16010​160<h≤17015​170<h≤18019​180<h≤2009​​

a.

Use linear interpolation to estimate the median.

[2]
b.

Estimate the mean.

[2]
c.

Estimate the sample standard deviation.

[2]
Markscheme

2.2.12 Variance and standard deviation Questions

  1. A Level
  2. /Maths
  3. /2.2.12 Variance and standard deviation

8 exam-style questions on OCR (MEI) A Level Maths 2.2.12 Variance and standard deviation. Each one has a worked solution and a mark scheme showing where the marks go.

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