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Natalia recorded in the table above the distance, In miles, that she hiked each day. Which histogram below represents the data shown in the table?

Natalia recorded in the table above the distance, In miles, that she hiked each day-example-1

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The first step is to look at the data and record the frequency of each mile. The frequency represents the number of days. The record is shown below

number of miles frequency or number of days

0.5 2

1.25 1

1.75 2

2.25 2

2.75 2

3.5 3

4 2

4.25 1

4.75 1

The values on the x axis represents the number of miles. The height of each bar represents the frequency. We would group the number of miles into intervals as shown below

Between 0 and 1, the frequency is 2

Between 1 and 2, the frequency is 1 + 2 = 3

Between 2 and 3, the frequency is 2 + 2 = 4

Between 3 and 4, the frequency is 3

Between 4 and 5, the frequency is 2 + 1 + 1 = 4

Thus, the required histogram would have the heights of 2, 3, 4, 3 and 4 respectively. Looking at the options, the correct one is the first one

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