The graph compares the ages of 100 randomly selected visitors at a beach in January and in July.

Two box and whisker plots showing beach visitors in January and July on a number line from 0 to 100. The upper plot represents the visitors in January. For this upper plot, the minimum number is 10, the maximum number is 78, the right side of the box is 60, the left side of the box is 30, and the bar in the box is at 40. The lower plot represents the visitors in July. For this lower plot, the minimum number is 1, the maximum number is 70, the right side of the box is 40, the left side of the box is 16, and the bar in the box is at 23.

How many more visitors over the age of 40 were at the beach in January than in July?

Question

Clare Bender

Mathematics

6 July, 00:00

The graph compares the ages of 100 randomly selected visitors at a beach in January and in July.

Two box and whisker plots showing beach visitors in January and July on a number line from 0 to 100. The upper plot represents the visitors in January. For this upper plot, the minimum number is 10, the maximum number is 78, the right side of the box is 60, the left side of the box is 30, and the bar in the box is at 40. The lower plot represents the visitors in July. For this lower plot, the minimum number is 1, the maximum number is 70, the right side of the box is 40, the left side of the box is 16, and the bar in the box is at 23.

How many more visitors over the age of 40 were at the beach in January than in July?

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Answers (1)

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Silas · Answer 1

Based on the given data, the box and whisker plot is constructed and shown below.

Total number of visitors in each month = 100

If you observe the plot of January, you will find that 40 is the 2nd Quartile or the Median value. 50% of the values lie above 40.

So in January, 50% of the visitors were over the age of 40.

50% of 100 is 50.

So,

In January 50 visitors of the beech were over the age of 40.

In July, 40 occurs at the 3rd Quartile. Only 25% of the values lie above 3rd Quartile. So In July 25% of the visitors were over the age of 40.

25% of 100 is 25.

So,

In July 25 visitors of the beech were over the age of 40.

Thus, in January, there were 25 more visitors over the age of 40 who visited the beech than in July