Random Sampling Worksheets Grade 7

1. Charlotte wants to estimate how many students at her school of 1,472 students prefer spring as their favorite season. She randomly selects 92 students from the school roster and asks them. In her sample, 37 students say spring is their favorite season. Based on this random sample, approximately how many students in the entire school would you expect to prefer spring?
2. A city has a population of 125,000 people. A researcher wants to survey a representative sample of this population. If she uses a sampling ratio of 1:250, how many people should be included in her sample?
3. A rectangular prism is drawn with dimensions 15 cm by 12 cm by 8 cm. A smaller rectangular prism with dimensions 5 cm by 4 cm by 3 cm is removed from one corner. What is the volume of the remaining solid?

…and 4 more problems

1. Matiu works for the city council and wants to estimate how many of the 24,000 residents in his city support building a new skate park. He decides to survey a random sample of 300 residents. In his sample, 96 people say they support the new skate park. Based on this random sample, approximately how many residents in the entire city would be expected to support the new skate park?
2. Mason is conducting a survey to find out how many students in his middle school of 1,400 students prefer reading over other hobbies. He uses a random sampling method and selects 175 students. In his sample, 49 students say they prefer reading. Based on this random sample, approximately how many students in the entire school would you expect to prefer reading?
3. Isabella surveys 72 randomly selected students at her school and finds that 27 of them have a pet cat. If the school has 672 students, what is the best estimate for the number of students who have a pet cat?

…and 4 more problems

1. Charlotte surveys 72 randomly selected students at her school and finds that 27 of them have a pet cat. If the school has 672 students, what is the best estimate for the number of students who have a pet cat?
2. Liam is helping his town's Parks Department decide how many new benches to install along the main trail. The trail is used by 13,500 residents. To get a representative sample, the department randomly selects 225 residents and asks them how often they use the trail. In the sample, 63 residents say they use the trail at least once a week. Based on this random sample, approximately how many residents in the entire town would be expected to use the trail at least once a week?
3. Olivia wants to estimate the number of students in her school who prefer outdoor recess over indoor activities. Her school has a total of 1,575 students. She randomly selects 75 students and asks them. In her sample, 33 students say they prefer outdoor recess. Based on this random sample, approximately how many students in the entire school would be expected to prefer outdoor recess?

…and 4 more problems