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Observe the frequencies of the heads and tails from table 1, 2 and 3. Write down the total frequencies for heads and tails Table 4: Totals of Head and Tails

Mathematics

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Answer

Heads

148\text{148}

Tails

152\text{152}

Step-by-step solution

5 steps
  1. Acknowledge missing experimental data.

    The problem requires data from a coin-flipping experiment for Day 1, Day 2, and Day 3. Since this data is not provided, we will use hypothetical results to demonstrate how to complete the tables and calculate the totals. The "Tallies" column would be filled with marks representing each flip, but for this demonstration, we will focus on the numerical frequencies.

  2. Fill TABLE 1 (Day 1) with hypothetical frequencies.

    Assuming 100 coin flips for Day 1, let's say we get 50 Heads and 50 Tails.

    • Heads: Frequency = 50
    • Tails: Frequency = 50
    • Total: Frequency = 100
  3. Fill TABLE 2 (Day 2) with hypothetical frequencies.

    Assuming 100 coin flips for Day 2, let's say we get 45 Heads and 55 Tails.

    • Heads: Frequency = 45
    • Tails: Frequency = 55
    • Total: Frequency = 100
  4. Fill TABLE 3 (Day 3) with hypothetical frequencies.

    Assuming 100 coin flips for Day 3, let's say we get 53 Heads and 47 Tails.

    • Heads: Frequency = 53
    • Tails: Frequency = 47
    • Total: Frequency = 100
  5. Calculate the total frequencies for Heads and Tails for TABLE 4 (1.2.1).

    To find the total frequencies, sum the hypothetical frequencies from Day 1, Day 2, and Day 3.
    Total Heads = 50(Day 1)+45(Day 2)+53(Day 3)=14850 (\text{Day 1}) + 45 (\text{Day 2}) + 53 (\text{Day 3}) = 148
    Total Tails = 50(Day 1)+55(Day 2)+47(Day 3)=15250 (\text{Day 1}) + 55 (\text{Day 2}) + 47 (\text{Day 3}) = 152

    The completed TABLE 4: Totals of Head and Tails is:

    HeadsTailsTotal148152\begin{array}{|c|c|c|} \hline & \text{Heads} & \text{Tails} \\ \hline \text{Total} & 148 & 152 \\ \hline \end{array}

    The total frequencies for heads and tails are:
    Heads: 148\boxed{\text{148}}
    Tails: 152\boxed{\text{152}}

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