All the workers in a company were asked a survey question. The two-way frequency table shows the responses from the workers in t

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Alexandra [31]

2 years ago

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All the workers in a company were asked a survey question. The two-way frequency table shows the responses from the workers in t

he day shift and night shift. Complete parts a and b.
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Mathematics

1 answer:

Pie · Answer 1 · 2023-03-21T16:23:15+03:00

A two-way relative frequency table consists of two types of data or data in two categories one relating to the columns and the other relating to the rows.

Shift Response

Yes No Total

Day

67% 33% 100%

Night

23% 77% 100%

Total

45% 55% 200%

In this table there is data relating to two categories day/ night and yes/no.

Along the rows the percentages of the day/night data are calculated.

Along the columns the percentages of the yes/no data are calculated.

Shift Response

Yes No Total

Day 67/100*100 33/100 *100 100

= 67% =33% 100%

Night 23/100*100 77/100*100 100

= 23% =77% 100%

Total 90/200 *100 110/200*100 200

= 45% = 55% 200%

These calculations are done by dividing the row cells by their respective row totals.

Similarly the columns cells are filled by dividing the column cells with their respective column totals.

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