Categorical Data Worksheets Grade 11

1. Sophia surveyed 56 students about their preferred type of movie and whether they prefer watching alone or with friends. The results are: 11 prefer Action and Alone, 6 prefer Action and With Friends, 16 prefer Comedy and Alone, 9 prefer Comedy and With Friends, 8 prefer Drama and Alone, and 6 prefer Drama and With Friends. Create a two-way frequency table summarizing this categorical data.
2. Ava surveyed 42 students about their favorite subject and extracurricular activity. The results showed: 12 students like Math and Sports, 8 like Math and Arts, 7 like Science and Sports, 9 like Science and Arts, 4 like English and Sports, and 2 like English and Arts. Create a two-way frequency table summarizing this data.
3. Kaia surveyed 49 students at her school about their preferred method of physical activity and their year level. The results are as follows: 13 Year 11 students prefer team sports, 7 Year 11 students prefer individual sports, and 5 Year 11 students prefer no activity. For Year 12 students, 9 prefer team sports, 11 prefer individual sports, and 4 prefer no activity. Organize this data into a two-way frequency table summarizing the counts of students by year level and preferred activity type. What is the total number of students who prefer individual sports?

…and 3 more problems

1. Tane surveyed 60 students about their preferred type of music and whether they play an instrument. The results are: 15 play an instrument and prefer Rock, 12 play an instrument and prefer Pop, 9 play an instrument and prefer Jazz, 10 do not play an instrument and prefer Rock, 8 do not play an instrument and prefer Pop, and 6 do not play an instrument and prefer Jazz. Create a two-way frequency table summarizing this categorical data.
2. A medical researcher is studying the effectiveness of a new drug for reducing cholesterol levels. In a clinical trial with 180 patients, the mean reduction in LDL cholesterol was 28.4 mg/dL with a standard deviation of 7.2 mg/dL. The researcher wants to test if this reduction is significantly greater than the standard treatment's average reduction of 25 mg/dL. Using a significance level of α = 0.01, calculate the test statistic and determine whether there is sufficient evidence to support the claim that the new drug provides a greater reduction than the standard treatment.
3. A survey was conducted at a high school to determine students' preferred music genre and their favorite subject. The data is summarized in the following two-way table: | | Math | English | Science | |--------------|------|---------|---------| | Rock | 15 | 9 | 21 | | Pop | 11 | 25 | 13 | | Hip-Hop | 7 | 17 | 19 | Complete the two-way frequency table by calculating the row totals, column totals, and the grand total. Then, based on the completed table, how many students prefer Pop music and also chose English as their favorite subject?

…and 2 more problems

1. Sophia surveyed students about their favorite music genres and created this two-way table showing preferences by gender: Music Genre Preferences Rock Hip-Hop Classical Total Male 12 8 5 25 Female 7 11 9 27 Total 19 19 14 52 What is the frequency of female students who prefer Classical music?
2. Ava surveyed 61 students at her school about their preferred method of communication and their grade level. The results are shown in the following bar chart description: For Grade 11 students, 16 prefer text, 11 prefer email, and 6 prefer phone. For Grade 12 students, 21 prefer text, 4 prefer email, and 3 prefer phone. Create a two-way frequency table summarizing the data by grade level and preferred communication method.
3. Ava surveyed 116 students at her school about their preferred method of exercise and their grade level. She found that 36 students preferred running, 41 preferred swimming, and 39 preferred cycling. Among the 56 juniors, 11 preferred running, 16 preferred swimming, and the rest preferred cycling. Among the seniors, 26 preferred cycling. Organize this data into a two-way frequency table with grade level (junior, senior) as rows and exercise preference (running, swimming, cycling) as columns. Then, determine how many seniors preferred running.

…and 3 more problems