Categorical Data Worksheets Grade 11

1. Liam surveyed 63 students about their preferred outdoor activity. 21 chose hiking, 17 chose cycling, 13 chose kayaking, and 12 chose rock climbing. Create a frequency table summarizing this categorical data.
2. 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?
3. Mason surveyed 84 students about their favorite type of music and whether they play an instrument. The results are: 22 play an instrument and prefer Rock, 14 play an instrument and prefer Pop, 10 do not play an instrument and prefer Rock, 18 do not play an instrument and prefer Pop, 8 play an instrument and prefer Jazz, 12 do not play an instrument and prefer Jazz. Create a two-way frequency table summarizing this categorical data.

…and 3 more problems

1. 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.
2. A circle is inscribed in a right triangle with legs measuring 8 cm and 15 cm. The circle is tangent to all three sides of the triangle. What is the radius of the inscribed circle?
3. Hana surveyed 36 students about their preferred learning method: 14 prefer visual, 12 prefer auditory, 10 prefer kinesthetic. Create a frequency table summarizing this categorical data.

…and 4 more problems

1. Aroha surveyed students about their favorite sport. Results: 15 soccer, 11 basketball, 9 rugby, 13 cricket, 7 tennis. Create a frequency table and find the total number of students surveyed.
2. A pharmaceutical company is testing a new drug and claims it reduces recovery time from a certain illness. In a clinical trial with 120 patients, the mean recovery time was 8.2 days with a standard deviation of 1.5 days. The company wants to test the hypothesis that the mean recovery time is less than the standard treatment's 9 days at a 5% significance level. Calculate the test statistic for this hypothesis test and determine if there is sufficient evidence to reject the null hypothesis.
3. A pharmaceutical company is testing a new drug and claims it reduces recovery time from a certain illness. In a clinical trial with 250 patients, the mean recovery time was 38.2 hours with a standard deviation of 6.5 hours. The company wants to test if this is significantly different from the standard treatment's mean recovery time of 40 hours at a 5% significance level. What is the calculated test statistic for this hypothesis test?

…and 3 more problems