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Using the provided data on fast-food preferences, complete the frequency table, determine the sample size, and calculate the probability of a randomly chosen student preferring Kota, expressed as a pe

Mathematics

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Part 3.1

Use the above data to complete the frequency table.

The frequency table is not provided, so the frequencies for each fast-food preference are listed below:

  • Beef Burger (BB): 5
  • King Pie (KP): 6
  • Chicken and Mayo Sandwich (CMS): 3
  • Kota (KT): 9
  • Vetkoek (VK): 7

Part 3.2· 1 step

Determine the sample size.

The sample size is the total number of students surveyed.

  1. Sum the frequencies of all preferences.

    Sample size=5+6+3+9+7\text{Sample size} = 5 + 6 + 3 + 9 + 7 Sample size=30\text{Sample size} = 30

    The sample size is 30\boxed{\text{30}}.

Part 3.3· 3 steps

If a student is chosen randomly, what is the probability of choosing a student who prefers to eat a Kota? Express as a percentage.

  1. Identify the number of students who prefer Kota and the total sample size.

    Number of students who prefer Kota = 9
    Total sample size = 30

  2. Calculate the probability.

    Probability (Kota)=Number of students who prefer KotaTotal sample size\text{Probability (Kota)} = \frac{\text{Number of students who prefer Kota}}{\text{Total sample size}} Probability (Kota)=930\text{Probability (Kota)} = \frac{9}{30}

  3. Convert the probability to a percentage.

    Probability (Kota)=930×100%\text{Probability (Kota)} = \frac{9}{30} \times 100\% Probability (Kota)=0.3×100%\text{Probability (Kota)} = 0.3 \times 100\% Probability (Kota)=30%\text{Probability (Kota)} = 30\%

    The probability of choosing a student who prefers Kota is 30%\boxed{\text{30\%}}.

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