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A) Count and write the number of votes for each of the towns. b) Draw a histogram showing the pooling stations and the number of votes.

Mathematics

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4. a) Count and write the number of votes for each of the towns
Given: HHH shows 5 voters, II shows 1 voter.

  1. Count votes for Town A.

    Tally marks: HHH HHH HHH HHH IIII
    Number of HHH groups: 4
    Number of II marks: 4
    Total votes for A = (4×5)+(4×1)=20+4=24(4 \times 5) + (4 \times 1) = 20 + 4 = 24.
    Town A: 24 votes\boxed{24 \text{ votes}}

  2. Count votes for Town B.

    Tally marks: HHH HHH HHH HHH HHH HHH I
    Number of HHH groups: 6
    Number of II marks: 1
    Total votes for B = (6×5)+(1×1)=30+1=31(6 \times 5) + (1 \times 1) = 30 + 1 = 31.
    Town B: 31 votes\boxed{31 \text{ votes}}

  3. Count votes for Town C.

    Tally marks: HHH HHH HHH HHH HHH
    Number of HHH groups: 5
    Number of II marks: 0
    Total votes for C = (5×5)+(0×1)=25+0=25(5 \times 5) + (0 \times 1) = 25 + 0 = 25.
    Town C: 25 votes\boxed{25 \text{ votes}}

  4. Count votes for Town D.

    Tally marks: HHH HHH HHH IIII
    Number of HHH groups: 3
    Number of II marks: 4
    Total votes for D = (3×5)+(4×1)=15+4=19(3 \times 5) + (4 \times 1) = 15 + 4 = 19.
    Town D: 19 votes\boxed{19 \text{ votes}}

  5. Count votes for Town E.

    Tally marks: HHH HHH HHH HHH HHH IIII
    Number of HHH groups: 5
    Number of II marks: 4
    Total votes for E = (5×5)+(4×1)=25+4=29(5 \times 5) + (4 \times 1) = 25 + 4 = 29.
    Town E: 29 votes\boxed{29 \text{ votes}}

    4. b) Draw a histogram showing the pooling stations and the number of votes
    To draw a histogram:

    • Draw two axes. The horizontal axis (x-axis) will represent the Pooling Stations (Towns A, B, C, D, E). The vertical axis (y-axis) will represent the Number of Votes.
    • Label the x-axis with the town names (A, B, C, D, E) at the center of each bar.
    • Choose an appropriate scale for the y-axis, starting from 0. Since the highest number of votes is 31, a scale where each unit represents 2 or 5 votes would be suitable (e.g., 0, 5, 10, 15, 20, 25, 30, 35).
    • For each town, draw a rectangular bar whose height corresponds to the number of votes counted in part a). The bars should be of equal width and typically touch each other in a histogram if the x-axis represents continuous data, but for categorical data like towns, they can be separated.

    Here are the data points for your histogram:

    • Town A: 24 votes
    • Town B: 31 votes
    • Town C: 25 votes
    • Town D: 19 votes
    • Town E: 29 votes
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