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

83.3%
83.3%

100.0%
100.0%

40.0%
40.0%

45.5%

Answer 1

In order to calculate the percentage chance that if a farmer prefers to grow carrots they have rocky soil, we need to find the relative frequency of farmers who prefer to grow carrots and have rocky soil.

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

Relative Frequency = 100 / 220 = 0.4545

Converting this to a percentage, we get:

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 answer is:
45.5%