Question

Mr. Norton uses a fair spinner with 12 equal regions to determine the topic for each day’s warm up lesson in math class. image Mr. Norton plans to spin the spinner 120 times during the school year. What bar graph shows the best prediction for the number of times each topic will be selected?

Answer 1

Mr. Norton spinning the fair spinner is an illustration of experimental probability

How to determine the bar graph?

From the complete question, we have the following sections on the spinner

E = 3

N = 4

R = 3

P = 2

The probability of each section is:

P(E) = 3/12 = 25%

P(N) = 4/12 = 33.3%

P(R) = 3/12 = 25%

P(P) = 2/12 = 16.7%

When the spinner is spinned 120 times, the occurrence of each section is:

E = 25% * 120 = 30

N = 33.3% * 120 = 40

R = 25% * 120 = 30

P = 16.7% * 120 = 20

Next, we plot the appropriate bar graph

See attachment for the bar graph of the distribution

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