Math statistics test answers

1 answer

1. Describe the difference between a population and a sample.
- A population refers to the entire group of individuals or objects that we are interested in studying, while a sample is a subset of the population that is selected to represent the population.

2. What is the difference between descriptive and inferential statistics?
- Descriptive statistics involve summarizing and describing the data that has been collected, while inferential statistics involve making inferences and predictions about a population based on sample data.

3. What is the mean of a data set?
- The mean of a data set is the average value, calculated by adding up all the values in the data set and dividing by the number of values.

4. What is the median of a data set?
- The median of a data set is the middle value when the values are ordered from least to greatest. If there is an even number of values, the median is the average of the two middle values.

5. What is the mode of a data set?
- The mode of a data set is the value that appears most frequently.

6. What is the range of a data set?
- The range of a data set is the difference between the highest and lowest values in the data set.

7. What is standard deviation?
- Standard deviation is a measure of how spread out the values in a data set are. It is calculated by taking the square root of the variance.

8. What is a z-score?
- A z-score is a measure of how many standard deviations a particular value is from the mean of the data set. It is calculated by subtracting the mean from the value and dividing by the standard deviation.

9. What is the difference between correlation and causation?
- Correlation refers to a relationship between two variables, while causation implies that one variable directly causes changes in another variable.

10. What is a hypothesis test?
- A hypothesis test is a statistical method used to determine whether there is enough evidence to reject a null hypothesis in favor of an alternative hypothesis.