In: Statistics and Probability
Need step by step solutions and calculations
The following is a set of data from a sample of 11 items
X: 7 5 8 3 6 0 2 4 9 5 8
Y: 1 5 4 9 8 0 6 2 7 5 4
a. Construct a scatter plot using the sample data.
b. Calculate the mean, median variance and coefficient of variation and z-scores for X.
c. Determine the outliers.
d. Determine the quartiles of X.
e. Construct a box plot and determine the shape of X.
f. Is there a relationship between two variables X and Y? Explain.
g. What is the correlation between X and Y?
h. Approximately (Empirical Rule) how many of the data points in a bell-shaped distribution is within 1 standard deviation of the mean.