Analyzing and interpreting data Knowledge-Based Practice

Questions

1. 1.

   When analyzing experimental data collected from multiple repeated trials, why do scientists calculate the mean of the measured values?

   • A) To eliminate systematic errors caused by improperly calibrated measuring instruments.
   • B) To reduce the impact of random errors and obtain a more reliable estimate of the true value.
   • C) To increase the intrinsic measurement resolution and precision of the measuring instrument.
   • D) To ensure that the final calculated value matches the accepted theoretical prediction exactly.
2. 2.

   In an investigation where a constant net force is applied to a cart, data show that tripling the mass reduces the acceleration to one-third of its original value. Which graph should be plotted to produce a straight-line relationship that directly confirms this mathematical relationship?

   • A) Acceleration versus mass
   • B) Acceleration versus the square of mass
   • C) Mass versus the square root of acceleration
   • D) Acceleration versus the reciprocal of mass
3. 3.

   In an experiment measuring the mass and volume of several samples of a uniform liquid, a graph of mass on the vertical axis versus volume on the horizontal axis yields a straight line passing through the origin. Which statement correctly describes the relationship between these variables and the physical meaning of the slope of the graph?

   • A) The variables are inversely proportional, and the slope represents the empty container's mass.
   • B) The variables are inversely proportional, and the slope represents the gravitational field strength.
   • C) The variables are directly proportional, and the slope represents the density of the liquid.
   • D) The variables are directly proportional, and the slope represents the total weight of the liquid.

Answers and step-by-step solutions appear after you finish the test.