Question

Kate recorded what she ate for breakfast every day for six months. Her findings are shown in the graph below. A bar graph titled Breakfast has food on the x-axis and frequency on the y-axis. Cereal, 34; Eggs and bacon, 21; Pastries, 39; Bagels, 48; Waffles, 38. If Kate were to transfer this data to the pie chart shown below, which segment would contain the data for cereal? A pie chart titled Breakfast. The pieces are 21 percent, 22 percent, 19 percent, 11 percent, 27 percent. a. 27% b. 19% c. 21% d. 22%

ANSWER IS B

Answer 1

b

Explanation:

Answer 2

Answer: The correct answer is option B: 19%

Step-by-step explanation: The bar graph according to the question has the following set of data;

Cereal ----------34

Eggs and Bacon ----------21

Pastries ----------39

Bagels ----------48

Waffles ----------38

The total from this set of data is 180 (that is the summation of all the observed data). The portion taken up by cereals can be derived as follows;

Cereal = (34/180) x 360

Cereal = 68 degrees

Note that we have used degrees as the unit since the data would be transferred to a pie chart. Hence on the pie chart it occupies 68 degrees of the entire 360 degrees.

In order to find out what percentage this represents we can now express 68 degrees as a percentage as follows;

Cereal = (68/360) x 100

Cereal = 18.8888888

Cereal ≈ 19

Therefore cereal occupies 19 percent of the pie chart.