Carrots
Peppers
Totals
Sandy Soil
120
50
170
Rocky Soil
100
220
150
250
Totals
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.
(1 point)
83.3%
40.0%
100.0%
45.5%
To calculate the percentage chance that if a farmer prefers to grow carrots they have rocky soil, we need to use the relative frequency of farmers who grow carrots and have rocky soil.
From the given data, we can see that out of the total of 200 farmers surveyed, 120 farmers grow carrots and out of those 120, 100 have rocky soil.
The relative frequency of farmers who grow carrots and have rocky soil is calculated by dividing the number of farmers who grow carrots and have rocky soil (100) by the total number of farmers (200):
Relative frequency = (100 / 200) = 0.5
To express this as a percentage, we multiply the relative frequency by 100:
Percentage chance = 0.5 * 100 = 50.0%
Therefore, the percentage chance that if a farmer prefers to grow carrots they have rocky soil is 50.0%.
That’s not an option
Apologies for the confusion. Let's recalculate the percentage chance.
To find the percentage chance that if a farmer prefers to grow carrots they have rocky soil, we need to use the relative frequency of farmers who grow carrots and have rocky soil.
From the given data, we can see that out of the total of 200 farmers surveyed, 120 farmers grow carrots and out of those 120, 100 have rocky soil.
The relative frequency of farmers who grow carrots and have rocky soil is calculated by dividing the number of farmers who grow carrots and have rocky soil (100) by the total number of farmers who grow carrots (120):
Relative frequency = (100 / 120) ≈ 0.8333
To express this as a percentage, we multiply the relative frequency by 100:
Percentage chance = 0.8333 * 100 ≈ 83.3%
Therefore, the percentage chance that if a farmer prefers to grow carrots they have rocky soil is approximately 83.3%.