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Draw up a frequency to record the data given below. Put the names in order starting with the most common name.

Mathematics

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Step-by-step solution

4 steps

  1. Calculate the total frequency for each name based on the given information.

    • Jonathan: Betty's tally shows 10 groups of 5, plus 2 more from Betty's statement. 10×5+2=50+2=5210 \times 5 + 2 = 50 + 2 = 52
    • Mbali: Bongi's tally shows 10 groups of 5, plus 52 more from Bongi's statement. 10×5+52=50+52=10210 \times 5 + 52 = 50 + 52 = 102
    • Sam: Sam said there are 120 people called Sam. 120120
    • Peter: Lilly said there are 128 people called Peter, plus 5 more from Lilly's second statement. 128+5=133128 + 5 = 133
    • Max: Susan said there are 127 people called Max, plus 2 more (her brother and cousin) from Susan's second statement. 127+2=129127 + 2 = 129
    • Thabo: Thabo said 99 people have the same name as him. 9999

  2. List the names and their frequencies.

    • Jonathan: 52
    • Mbali: 102
    • Sam: 120
    • Peter: 133
    • Max: 129
    • Thabo: 99

  3. Order the names from most common to least common.

    1. Peter: 133
    2. Max: 129
    3. Sam: 120
    4. Mbali: 102
    5. Thabo: 99
    6. Jonathan: 52

  4. Draw up the frequency table.

    NamesFrequencyPeter133Max129Sam120Mbali102Thabo99Jonathan52\begin{array}{|l|l|} \hline \text{Names} & \text{Frequency} \\ \hline \text{Peter} & 133 \\ \text{Max} & 129 \\ \text{Sam} & 120 \\ \text{Mbali} & 102 \\ \text{Thabo} & 99 \\ \text{Jonathan} & 52 \\ \hline \end{array}

    The completed frequency table is:

    NamesFrequencyPeter133Max129Sam120Mbali102Thabo99Jonathan52\boxed{ \begin{array}{|l|l|} \hline \textbf{Names} & \textbf{Frequency} \\ \hline \textbf{Peter} & \textbf{133} \\ \textbf{Max} & \textbf{129} \\ \textbf{Sam} & \textbf{120} \\ \textbf{Mbali} & \textbf{102} \\ \textbf{Thabo} & \textbf{99} \\ \textbf{Jonathan} & \textbf{52} \\ \hline \end{array} }
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