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13 February, 07:53

A survey of 525 people was conducted to determine whether they have brothers and sisters.

• The results showed that 24% of the people surveyed do not have a sister and 68% of the people surveyed have a

brother

The results also show that 93 of the people surveyed do not have sister and do not have a brother.

Complete the two-way frequency table to show the results of the survey.

Have a Brother

Do Not Have a Brother

Total

Have

Sister

Do

Not

Have

а

Sister

Total

525

+1
Answers (1)
  1. 13 February, 10:38
    0
    Have a brother Do not have a brother Total

    Have a sister 324 75 399

    Do not have a sister 33 93 126

    Total 357 168 525

    Explanation:

    1. Build the structure of the two-way table:

    Have a brother Do not have a brother Total

    Have a sister

    Do not have a sister

    Total

    2. Fill in the given information

    525 people surveyed: that is the total of the columns and of the rows:

    Have a brother Do not have a brother Total

    Have a sister

    Do not have a sister

    Total 525

    24% of the people surveyed do not have a sister

    24% * 525 = 126

    That is the total of the row Do not have a sister

    Have a brother Do not have a brother Total

    Have a sister

    Do not have a sister 126

    Total 525

    and 68% of the people surveyed have a brother

    68% * 525 = 357

    That is the total of the column have a brother

    Have a brother Do not have a brother Total

    Have a sister

    Do not have a sister 126

    Total 357 525

    93 of the people surveyed do not have sister and do not have a brother.

    That is the intersection of the row do not have a sister and the colum do not have a brother

    Have a brother Do not have a brother Total

    Have a sister

    Do not have a sister 93 126

    Total 357 525

    The other missing cells can be found by difference:

    126 - 93 = 33 525 - 357 = 168

    Have a brother Do not have a brother Total

    Have a sister

    Do not have a sister 33 93 126

    Total 357 168 525

    357 - 33 = 324 168 - 93 = 75 525 - 126 = 399

    Have a brother Do not have a brother Total

    Have a sister 324 75 399

    Do not have a sister 33 93 126

    Total 357 168 525

    Done!
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