Video Transcript
The pie chart shows the results of
a survey of how students travel to school. What is the most common method of
travel?
The most common answer in any pie
chart will be denoted by the largest sector. This is because the areas of each
sector are proportional to the quantities they represent. It is clear from the pie chart that
the largest sector corresponds to taxi. Therefore, this is the most common
method of travel to school.
Whilst it is not required in this
question, we can see from the pie chart that the sector for taxi corresponds to half
of the circle. This means that one-half or 50
percent of the students travel to school by taxi. The metro sector corresponds to
one-quarter of the circle. This is equal to 25 percent of the
students. Whilst the actual values aren’t
given, it appears that the sector for bus and walking are equal. Therefore, they correspond to
one-eighth of the circle. This is equal to 12.5 percent.
We could also convert these
percentages or fractions into the central angles as the angles in a circle add up to
360 degrees. The angle for taxi will be 180
degrees; for metro, 90 degrees; and for bus and walking, both 45 degrees. It is always worth checking at this
point that our angles sum to 360 degrees and our percentages sum to 100.
