Question

Part C-The coach also surveyed a group of 11- and 12-year-old students at his school to find outwhether they prefer ice-skating or roller-skating.This two-way table shows the data from the coach's second survey.Coach's Survey Data-Based on the survey data, are 11 and 12-year-old students more likely to prefer ice-skatingor roller-skating? Explain your reasoning.Enter your answer and your explanation the space provided.

Answer 1

From the table,

The total number of students = 32

The number of 11-year-old students who prefer ice skating = 9

The probability is,

`\begin{gathered} =(9)/(13) \\ =0\cdot6923 \end{gathered}`

The number of 12-year-old students who prefer ice skating = 9

The probability is,

`\begin{gathered} =(9)/(19) \\ =0\cdot4736 \end{gathered}`

The number of 11-year-old students who prefer Roller skating = 4

The probability is,

`\begin{gathered} =(4)/(13) \\ =0\cdot3076 \end{gathered}`

The number of 12-year-old students who prefer Roller skating = 10

The probability is,

`\begin{gathered} =(10)/(19) \\ =0\cdot5263 \end{gathered}`

From this probabilities

we get,

The 11 and 12-year-old students more likely to prefer ice skating