Maths-
General
Easy

Question

A Washerman asks 75 people from two different cities if they own rain boots. Complete thetwo-way frequency table to show the results of the survey.

What pattern do you see in the two-way frequency table?

Hint:

  • 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: 32,43,75


    Answer:
    Given:


    Yes

    No

    Total

    City A

    a

    19

    32

    City B

    28

    b

    d

    Total

    c

    34

    e

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

    thereforea + 19 = 32

    a = 32 – 19

    a = 13

    • Step 2:
    Find c.
    As, we know,
    Totals appear at the end of each row and column

    thereforea + 28 = c

    c = 28 + 13

    c = 41

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

    thereforeb + 19 = 34

    b = 34 – 19

    b = 15

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

    therefore28 + b = d

    d = 28 + 15

    d = 43

    • Step 5:
    Find e.
    As, we know,
    A sum of all counts (a grand total) is placed at the bottom right

    therefore32 + d = e

    e = 32 + 43

    e = 75

    • Final Answer:


    Yes

    No

    Total

    City A

    13

    19

    32

    City B

    28

    15

    43

    Total

    41

    34

    75

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