Relative Frequencies Quick Check

5 of 55 of 5 Items

Question
Use the table to answer the question.

Carrots Peppers Totals
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.

(1 point)
Responses

83.3%
83.3%

40.0%
40.0%

45.5%
45.5%

100.0%

To find the percentage chance that if a farmer prefers to grow carrots they have rocky soil, we need to divide the number of farmers who prefer to grow carrots in rocky soil by the total number of farmers who prefer to grow carrots.

Number of farmers who prefer to grow carrots in rocky soil = 100
Total number of farmers who prefer to grow carrots = 220

(100 / 220) * 100 = 45.5%

Therefore, the percentage chance that if a farmer prefers to grow carrots they have rocky soil is 45.5%, which rounded to the nearest tenth is 45.5%.

Answer: 45.5%