Statistical Reports Worksheets Grade 11

1. A right triangle is inscribed in a unit circle such that its hypotenuse is the circle's diameter. If one acute angle measures 30°, and the triangle's vertices are at coordinates (0,0), (1,0), and (x,y) on the circle, what is the exact area of the triangle?
2. log₂(16) + 3cos(0) = ?
3. Noah is evaluating a news report claiming that a new study shows 90% of teenagers prefer Brand X sneakers. The study surveyed 20 teenagers outside a Brand X store. Identify two significant issues with this study's methodology that could invalidate the claim, and explain how each issue affects the reliability of the conclusion.

…and 5 more problems

1. Matiu reads a news report claiming that a new after-school tutoring program improved student grades. The report states: 'In a survey of 8 students who participated in the program, 100% reported an improvement in their math grades. Therefore, the program is effective for all students.' Evaluate the validity of this claim, identifying at least two specific issues with the study's methodology or conclusions.
2. Liam is designing a suspension bridge and needs to model the cable shape. The cable follows a parabolic curve described by the function f(x) = 2x² - 12x + 16, where x represents the horizontal distance from the left tower in meters. Liam needs to find the minimum height of the cable above the water level. At what horizontal distance does this minimum height occur?
3. log₂(64) + cos(π/3) = ?

…and 4 more problems

1. Liam is reading a news article that claims a new study shows 80% of teenagers prefer a particular brand of sneakers. The study surveyed 20 teenagers at a local skate park. Evaluate the validity of the claim made by the study based on the information provided.
2. Mere is reading a news report claiming that a new study shows 85% of high school students prefer online learning over traditional classrooms. The study surveyed 20 students from a single advanced mathematics class at a private school that has fully integrated online learning tools. Evaluate the validity of this claim, identifying potential sources of bias, issues with sample size, and whether the conclusion is justified.
3. A study claims that 61% of students at a high school prefer online learning. The study surveyed 16 students from an advanced mathematics class. Evaluate the validity of this claim.

…and 5 more problems