Select all the correct tables.
This table gives information on types of rooms occupied at a hotel in a day.
King Bed Queen Bed
Mountain View 25 18
Ocean View 12 20
Identify the tables that represent the relative frequencies of this data by rows or by columns. Round your answers to the nearest hundredth.
Answers
Answer:
the middle left and right
The table representing the relative frequencies by rows would be:
King Bed Queen Bed
Mountain 0.58 0.42
Ocean 0.38 0.62
The table representing the relative frequencies by columns would be:
King Bed Queen Bed
Mountain 0.68 0.47
Ocean 0.32 0.53
What is a relative frequency?Relative frequency is a statistical term that describes the proportion or percentage of times that an event or value occurs within a dataset or sample.
It is calculated by dividing the number of times the event occurs by the total number of observations in the dataset or sample.
We have,
To find the relative frequencies of this data by rows or by columns, we need to divide each count by the total number of rooms occupied. The total number of rooms occupied is:
25 + 18 + 12 + 20 = 75
To find the relative frequencies by rows, we divide each count by the total for that row:
For Mountain View rooms:
King Bed: 25/(25+18) ≈ 0.58
Queen Bed: 18/(25+18) ≈ 0.42
For Ocean View rooms:
King Bed: 12/(12+20) ≈ 0.38
Queen Bed: 20/(12+20) ≈ 0.62
The table representing the relative frequencies by rows would be:
King Bed Queen Bed
Mountain 0.58 0.42
Ocean 0.38 0.62
To find the relative frequencies by columns, we divide each count by the total for that column:
For King Bedrooms:
Mountain View: 25/(25+12) ≈ 0.68
Ocean View: 12/(12+20) ≈ 0.38
For Queen Bedrooms:
Mountain View: 18/(18+20) ≈ 0.47
Ocean View: 20/(18+20) ≈ 0.53
The table representing the relative frequencies by columns would be:
King Bed Queen Bed
Mountain 0.68 0.47
Ocean 0.32 0.53
Note that we round the relative frequencies to the nearest hundredth.
Thus,
The table representing the relative frequencies by rows and columns is given above.
Learn mroe about relative frequency here:
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