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In a made-up orchard, the masses of apples follow a normal curve with mean 150 g and standard…

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Try it on paper first. A hint, the key idea and the worked solution are here when you need them.

In a made-up orchard, the masses of apples follow a normal curve with mean $150\ \text{g}$ and standard deviation $12\ \text{g}$ . Use the 68-95-99.7 rule. Between which two masses do the middle $68\%$ of apples lie? About what percentage of apples are heavier than $174\ \text{g}$ ?

Need a reminder? The key ideaShow

A normal curve is fixed by $\mu$ and $\sigma$ . About $68\%$ , $95\%$ and $99.7\%$ of values lie within one, two and three standard deviations of the mean (exactly $0.6827$ , $0.9545$ and $0.9973$ ).

The worked solution

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Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.

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