In: Statistics and Probability
1-a)What is the difference between an experiment and an observational study?
b)Give an example of an experiment. In your example, what population are you studying?
2-a)Define the mode and median of a set of data points.
b)Construct a set of 5 data points with a mode of 3. Construct a second set of 5 data points with a median of 5. Clearly indicate which set is which.
3)Construct a frequency distribution using 4 classes for the following set of 10 data points. What is the range, and what are the class widths? Include a third column for relative frequency, and a fourth column for cumulative frequency. 2, 3, 5, 7, 8, 9, 10, 11, 12, 13
4)Here is the set of data from the previous page: 2, 3, 5, 7, 8, 9, 10, 11, 12, 13 (a) State the formula for the standard deviation of a data set. Assume that the data set represents a population and not a sample. (b) What is the mean of this data set? State the deviation of each of the 10 data points. Be sure to indicate which deviation corresponds to which data point. (c) What is the sum of the squares of these deviations? (d) What is the standard deviation of this data set? Assume that the 10 points represent the entire population, and not a sample.