Sandy Soil 120 50 170
Rocky Soil 100 150 250
Totals 220 200 420
Examine the data from a survey of farmers about their different soil types and the crops they prefer to grow. Using relative frequencies, what is the percentage chance that if a farmer prefers to grow carrots they have rocky soil? Round your answer to the nearest tenth.
83.3%
40.0%
45.5%
100.0%
To find the percentage chance that if a farmer prefers to grow carrots they have rocky soil, we need to look at the frequency of farmers who prefer to grow carrots and have rocky soil compared to the total frequency of farmers who prefer to grow carrots.
From the data provided:
- Farmers who prefer to grow carrots and have rocky soil: 150
- Total farmers who prefer to grow carrots: 170
The relative frequency of farmers who prefer to grow carrots and have rocky soil is 150/170 = 0.8824 (rounded to four decimal places).
Multiplying this by 100 gives us the percentage:
0.8824 x 100 ≈ 88.2%
Therefore, the percentage chance that if a farmer prefers to grow carrots they have rocky soil is approximately 88.2%. Rounding to the nearest tenth, this is 88.2%.