Relative Frequencies Worksheets Grade 11

1. Mere is analyzing data from a regional survey on sustainable farming practices. The survey of 240 farms found that 156 farms use organic composting. Based on this relative frequency, if the region has 4,800 farms in total, how many farms would be expected to use organic composting? Interpret the relative frequency in context.
2. In a survey of 180 students, Hana found that 54 students prefer online learning. What is the relative frequency of students who prefer online learning, and what does this value mean in context?
3. Hana is analyzing the data from a survey of 240 students at her school about their preferred method of learning mathematics. The survey found that 84 students prefer learning through interactive digital platforms. Based on this relative frequency, if the entire school has 1,200 students, how many students would Hana expect to prefer interactive digital platforms?

…and 4 more problems

1. Noah is analyzing a survey of 250 residents in a coastal town to study support for a new conservation policy. The survey found that 85 residents strongly support the policy. What is the relative frequency of residents who strongly support the policy, and what does this relative frequency represent in the context of the survey?
2. Aroha is analyzing survey data from 175 students at her school to understand preferences for after-school activities. She finds that 63 students prefer sports over arts and music. Based on this relative frequency, if the entire school has 875 students, how many students would be expected to prefer sports?
3. In a survey of 240 Grade 11 students, Noah found that 156 students prefer studying in the evening. What is the relative frequency of students who prefer evening study, and what does this value mean in the context of the survey?

…and 4 more problems

1. A sound engineer is analyzing the decibel level of a concert. The sound intensity I in watts per square meter is given by the formula L = 10 log(I/I₀), where L is the sound level in decibels and I₀ = 10⁻¹² W/m² is the reference intensity. If the sound level at the concert is 115 dB, what is the sound intensity I in watts per square meter? Round your answer to 3 decimal places.
2. Emma is analyzing a two-way table that shows the relationship between participation in an advanced mathematics program and performance on a standardized test. The table includes 200 students. She calculates that the relative frequency of students who both participated in the program and scored in the top quartile is 0.35. If the school district has 1,500 students in Grade 11, what is the best estimate for the number of students who would both participate in the advanced program and score in the top quartile?
3. Liam is analyzing data from a local library to understand reading habits. He finds that out of 450 library members surveyed, 180 members borrowed at least one non-fiction book last month. Based on this relative frequency, if the library has 5,000 members total, how many members would be expected to borrow at least one non-fiction book in a given month?

…and 3 more problems