The volumes of water, x 10 6 litres, needed to fill six Olympic-sized pools are 2.82, 2.50,

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The volumes of water, x ×106 litres, needed to fill six Olympic-sized pools are 2.82, 2.50, 2.75, 3.14, 3.66 and 3.07.

a. Find the value of Σ­(x − 2) and of Σ­(x − 2)2.

b. Use your answers to part a to find the mean and the standard deviation of the volumes of water, giving both answers correct to the nearest litre.

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