In this coursework I describe a statistical activity based on the estimation of length, which provides interesting data for analysis and can develop an appreciation of experimental design.
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MATHS COURESWORK INTRODUCTION In this coursework I describe a statistical activity based on the estimation of length, which provides interesting data for analysis and can develop an appreciation of experimental design. The approach taken can easily be adapted to suit the level of pupil. The hypothesis of interest is "we can estimate length without the assistance of any measuring instruments?" In a further development of the idea, I pose the question "Does our ability to estimate length improve if, after each attempt, we are told how 'well' we are doing?" I took a large ball of string. Hide all measuring instruments. Invite a pupil to cut off a 20 cm length of string. Ask the same pupil to do this a further 9 times. Each time the pupil cuts off a piece of string, remove it from sight, but note the order in which the pieces of string are cut. After all the cutting is complete, measure the...

