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Carrots, peppers. total
Sandy soil 120. 50. 170
Rocky soil. 100. 150. 250
Total. 220. 200. 420
Examine the data from a survey of farmers about their different soil types in the crops they prefer to grow using relative frequency. What is the Percentage chance that if a farmer prefers to grow carrots, they have rocky soil around to the nearest tenth
To determine the percentage chance that if a farmer prefers to grow carrots, they have rocky soil, we need to calculate the relative frequency of farmers who grow carrots in rocky soil compared to all farmers who grow carrots.
First, we look at the total number of farmers who prefer to grow carrots in rocky soil, which is 100. Then, we look at the total number of farmers who prefer to grow carrots in both sandy and rocky soil, which is 220.
The relative frequency of farmers who prefer to grow carrots in rocky soil is calculated by dividing the number of farmers who prefer to grow carrots in rocky soil by the total number of farmers who prefer to grow carrots:
Relative frequency = Number of farmers who prefer to grow carrots in rocky soil / Total number of farmers who prefer to grow carrots
Relative frequency = 100 / 220
Relative frequency = 0.4545
To convert the relative frequency to a percentage, we multiply by 100:
Percentage chance = 0.4545 * 100
Percentage chance = 45.45%
Therefore, the percentage chance that if a farmer prefers to grow carrots, they have rocky soil is approximately 45.5% to the nearest tenth.