Maths-
General
Easy

Question

You ask 70 of your classmates if they have any siblings. complete the two-way frequency table to show the results of the survey.

hintHint:

  • Categories are labelled in the left column and top row.
  • The counts are placed in the centre of the table.
  • Totals appear at the end of each row and column.
  • A sum of all counts (a grand total) is placed at the bottom right.

The correct answer is: 125,75,200


    • Two-way frequency chart

    • Step 1:
    Find b.
    As, we know,
    Totals appear at the end of each row and column

    therefore81 + b = 120

    b = 120 – 81

    b = 39

    • Step 2:
    Find d.
    As, we know,
    A sum of all counts (a grand total) is placed at the bottom right

    therefore120 + d = 200

    d = 200 - 120

    d = 80

    • Step 3:
    Find a.
    As, we know,
    Totals appear at the end of each row and column

    thereforea + 36 = d

    a = 80 - 36

    a = 44

    • Step 4:
    Find c
    As, we know,
    Totals appear at the end of each row and column

    thereforec + 75 = 200

    c = 200 - 75

    c = 125

    • Final Answer:


    Boys

    Girls

    Total

    Yes

    81

    44

    125

    No

    39

    36

    75

    Total

    120

    80

    200

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