Maths Olympiad Prep

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Problem 119

Algebra Difficulty 1.3 Find the answer CEMC Gauss (Grade 7) · Canada · 2012

Ben recorded the number of visits to his website from Monday to Friday as shown in the bar graph

The mean (average) number of visits per day to his website over the 5 days is

less than 100\text{less than 100}
between 100 and 200\text{between 100 and 200}
between 200 and 300\text{between 200 and 300}
between 300 and 400\text{between 300 and 400}
more than 400\text{more than 400}

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

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Official solution

The number of visits to Ben’s website from Monday to Friday can be read from the graph.

These are: 300,400,300,200,200300,400, 300, 200, 200.

The mean number of visits per day is found by adding these five totals and then dividing the sum by 5.

Thus, the mean is (300+400+300+200+200)÷5=1400÷5(300+400+300+200+200)\div5=1400\div5 or 280.
The mean number of visits per day to Ben’s website over the 5 days is between 200 and 300.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.