Question

The weights of six athletes are : 67kg,72kg,65kg,74kg,69kg and 73kg.Find the mean weight of these six athletes. Also,Find the range of the weights of the athletes.​


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Answer 1

Answer:

The weights of six athletes are : 67kg , 72kg , 65kg , 74kg , 69kg and 73kg

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To Find:-

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The mean weight of these six athletes

The range of the weights of the athletes

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STEP BY STEP EXPLANATION:-

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Sum of the weights of the six athletes

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$$\begin{lgathered}\sf \implies(67 + 72 + 65 + 74 + 69 + 73) \: kg = 420 \: kg \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf Number\: of \: athletes = 6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \therefore Mean = \frac{Sum \: of \: the \: observation}{ Number \: of \: the \: observation} = \frac{84}{7} = 12 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\\end{lgathered}$$

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Thus, The mean weight of the athletes is 70 kg

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Range of the weights of the athletes

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$$\implies$$ 74 kg - 65 kg = 9kg

Answer 2

9kg

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