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The cumulative frequency diagram gives information about the time, in minutes, 50 people were kept waiting at hospital.

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How many people waited less than 20 minutes?

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Give an estimate for the number of people who waited between 20 and 40 minutes.

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rebelmaths

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(a)

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How many people waited less than 20 minutes?

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Looking at our cumulative frequency graph, we find 20 minutes on the x-axis. Then move vertically up until we reach the red cumulative frequency curve. Then move horizontally to the left to read of the value on the y-axis. The correct value is 10 people.

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(b)

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Give an estimate for the number of people who waited between 20 and 40 minutes.

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As in part (a), we find 40 minutes on the x-axis.   vertically up until we reach the red cumulative frequency curve. Then move horizontally to the left to read of the value on the y-axis. The corresponding value is approximately 33 people.

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Since 10 people waited less than 20 minutes, and 33 people waited less than 40 minutes, that means 33-10 = 23 people waited between 20 and 40 minutes.

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