Relative Frequencies Worksheets Grade 8

1. A survey of 240 students asked about their preferred sport (Soccer or Basketball) and whether they exercise daily. The results are shown in the two-way table below: | | Soccer | Basketball | Total | |--------------|--------|------------|-------| | Daily | 72 | 48 | 120 | | Not Daily | 48 | 72 | 120 | | Total | 120 | 120 | 240 | Calculate the relative frequency of students who prefer Soccer given that they exercise daily. Then, determine if the relative frequencies suggest an association between preferring Soccer and exercising daily.
2. Liam is analyzing data from a survey about students' favorite after-school activities and whether they play team sports. The two-way relative frequency table shows the following: Among students who play team sports, 60% prefer outdoor activities, 30% prefer creative activities, and 10% prefer academic clubs. Among students who do not play team sports, 20% prefer outdoor activities, 50% prefer creative activities, and 30% prefer academic clubs. Based on the relative frequencies, is there an association between playing team sports and activity preference? Explain what the data suggests.
3. The two-way table below shows the results of a survey of 300 students at a middle school. Students were asked if they prefer pizza or tacos for lunch, and if they play a sport or do not play a sport. | Prefer Pizza | Prefer Tacos | Total ------------------------------------------------- Plays a Sport | 84 | 36 | 120 ------------------------------------------------- Does Not Play | 96 | 84 | 180 ------------------------------------------------- Total | 180 | 120 | 300 Based on the relative frequencies in the table, is there an association between playing a sport and preferring pizza? Justify your answer by calculating the relative frequencies of preferring pizza for students who play a sport and for students who do not play a sport.

…and 2 more problems

1. Mere is a student council member analyzing whether there's an association between students' grade level (Grade 7 or Grade 8) and their preference for the school's new lunch menu options (Option A: Pizza or Option B: Wraps). She surveys 300 students and organizes the data into a two-way frequency table. Among the 120 Grade 7 students surveyed, 72 prefer Pizza and 48 prefer Wraps. Among the 180 Grade 8 students surveyed, 90 prefer Pizza and 90 prefer Wraps. Based on the relative frequencies, is there an association between grade level and lunch menu preference? Explain your reasoning.
2. The two-way table below shows data from a survey of 120 Grade 8 students about whether they prefer reading fiction or non-fiction, and whether they are in the school book club. In Book Club Not in Book Club Total Prefers Fiction 24 36 60 Prefers Non-Fiction 16 44 60 Total 40 80 120 Calculate the relative frequencies (as percentages) of students who prefer fiction among those in the book club, and among those not in the book club. Do these relative frequencies suggest an association between being in the book club and preferring fiction? Explain.
3. Emma surveyed 200 Grade 8 students to investigate whether there is an association between participating in a sports team and completing daily homework on time. She recorded the results in the two-way frequency table below: | | Homework on Time | Homework Late | Total | |------------------------|------------------|---------------|-------| | On a Sports Team | 77 | 33 | 110 | | Not on a Sports Team | 45 | 45 | 90 | | Total | 122 | 78 | 200 | Calculate the relative frequencies (as percentages) of completing homework on time for students on a sports team and for students not on a sports team. Based on these relative frequencies, does there appear to be an association between being on a sports team and completing homework on time? Explain your reasoning.

…and 1 more problems

1. Emma surveyed 200 students about whether they prefer reading fiction or non-fiction. The two-way table shows the results: | | Fiction | Non-Fiction | Total | |------------|---------|-------------|-------| | Boys | 45 | 55 | 100 | | Girls | 75 | 25 | 100 | | Total | 120 | 80 | 200 | Calculate the relative frequency of girls who prefer fiction, and the relative frequency of boys who prefer fiction. Do these relative frequencies suggest an association between gender and fiction preference? Explain.
2. A survey of 240 students asked if they prefer reading books or watching movies. The results are shown in the two-way table below. Calculate the relative frequency of students who prefer reading books, given that they are in Grade 8. Then determine if there is an association between grade level and preference. | Grade | Prefer Reading | Prefer Movies | Total | |-------|----------------|---------------|-------| | 8 | 36 | 84 | 120 | | 9 | 60 | 60 | 120 | | Total | 96 | 144 | 240 |
3. (2.4 × 10^5) × (3.0 × 10^-2) ÷ (6.0 × 10^1) = ?

…and 3 more problems