Relative Frequencies Quick Check

Question

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

45.5%
45.5%

83.3%
83.3%

40.0%
40.0%

100.0%
100.0%

Answer 1

To find the percentage chance that if a farmer prefers to grow carrots they have rocky soil, we need to use the formula for relative frequency:

Relative Frequency = (Number of farmers with rocky soil who grow carrots) / (Total number of farmers who grow carrots)

Number of farmers with rocky soil who grow carrots = 100
Total number of farmers who grow carrots = 220

Relative Frequency = 100 / 220 ≈ 0.4545

Converting this to a percentage:

0.4545 * 100 ≈ 45.5%

Therefore, the percentage chance that if a farmer prefers to grow carrots they have rocky soil is 45.5%. The closest answer choice is:

45.5%