Question

miami carol city senior high
prof. mr. saunders
student:
course: probability and statistics
date:
quest 1
please answer all questions for full credit. no electronic devices are allowed when taking the quiz.

1. define in your own words the following concepts:

a) statistics
b) data

1. establish differences between population and sample
2. establish differences between qualitative data and quantitative data
3. true and false: age and temperature are quantitative data
4. establish differences between observational study and experiment

solve this equation: -3(4x - 5)=7 - 2(3x - 3)

Explanation:

1. a) Statistics is the science of collecting, analyzing, presenting, and interpreting data.

• b) Data are individual facts, figures, or pieces of information.

1. The population is the entire group of individuals or items of interest, while a sample is a subset of the population selected for study.
2. Qualitative data describes qualities or characteristics and is non - numerical (e.g., colors, opinions). Quantitative data is numerical and can be counted or measured (e.g., heights, ages).
3. The main difference is that in an observational study, researchers observe and record data without interfering, while in an experiment, researchers manipulate one or more variables to observe the effect on another variable.
4. To solve the equation \(-3(4x + 5)= - 7(2x - 3)\):

• First, distribute on both sides: \(-12x-15=-14x + 21\).
• Then, add \(14x\) to both sides: \(-12x+14x-15=-14x + 14x+21\), which simplifies to \(2x-15 = 21\).
• Next, add 15 to both sides: \(2x-15 + 15=21+15\), giving \(2x=36\).
• Finally, divide both sides by 2: \(x = 18\).

Answer:

1. a) The science of data - related processes.

• b) Individual pieces of information.

1. Population is the whole group; sample is a subset.
2. Qualitative is non - numerical; quantitative is numerical.
3. Observational study: no manipulation; experiment: manipulation of variables.
4. \(x = 18\)