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Complete the frequency table below and calculate the probability (as a simplified fraction) of choosing VW.

Mathematics

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Answer

110\frac{1}{10}

Step-by-step solution

5 steps

2:

1.2.1 Complete the frequency table below:

  1. Recall the frequencies for each car brand from the previous observation.

    • BMW: 2
    • FORD: 9
    • GWM: 4
    • HONDA: 3
    • KIA: 6
    • KWIDI: 2
    • MAZDA: 4
    • NISSAN: 5
    • SUZUKI: 4
    • TOYOTA: 4
    • VOLVO: 2
    • VW: 5
    • Total: 50
  2. Fill in the tally marks and frequencies in the table.

    CARTALLYFREQUENCYBMWII2FORDIIII IIII9GWMIIII4HONDAIII3KIAIIII I6KWIDIII2MAZDAIIII4NISSANIIII5SUZUKIIIII4TOYOTAIIII4VOLVOII2VWIIII5\multicolumn2∣r∣TOTAL50\begin{array}{|l|l|c|} \hline \textbf{CAR} & \textbf{TALLY} & \textbf{FREQUENCY} \\ \hline \text{BMW} & \text{II} & 2 \\ \text{FORD} & \text{IIII IIII} & 9 \\ \text{GWM} & \text{IIII} & 4 \\ \text{HONDA} & \text{III} & 3 \\ \text{KIA} & \text{IIII I} & 6 \\ \text{KWIDI} & \text{II} & 2 \\ \text{MAZDA} & \text{IIII} & 4 \\ \text{NISSAN} & \text{IIII} & 5 \\ \text{SUZUKI} & \text{IIII} & 4 \\ \text{TOYOTA} & \text{IIII} & 4 \\ \text{VOLVO} & \text{II} & 2 \\ \text{VW} & \text{IIII} & 5 \\ \hline \multicolumn{2}{|r|}{\textbf{TOTAL}} & \textbf{50} \\ \hline \end{array}

    1.2.2 Calculate the probability (as a simplified fraction) of choosing VW.

  3. Identify the number of VW cars and the total number of cars.

    Number of VW cars = 5
    Total number of cars = 50

  4. Write the probability as a fraction.

    P(VW)=Number of VW carsTotal number of cars=550P(\text{VW}) = \frac{\text{Number of VW cars}}{\text{Total number of cars}} = \frac{5}{50}
  5. Simplify the fraction.

    Divide both the numerator and the denominator by their greatest common divisor, which is 5.

    P(VW)=5÷550÷5=110P(\text{VW}) = \frac{5 \div 5}{50 \div 5} = \frac{1}{10}

    The probability of choosing VW is: 110\frac{1}{10}

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