Question

Data Set A- 7,7,7,9,9,9,10

Data Set B- 4,6,6,6,8,9,9,9,10,10,10

Step 1

1. Create a bar graph that examines a variable or variables in your data set.

Step 2

1. Find the sample mean, median (if it exists) mode for each set of data
2. Next find the sample standard deviations for each set of data
3. Create a box and whisker plot for each variable for each set data
4. Eliminate any outliers from the samples. Redo part 1 for each variable (if necessary, if not explain why). Compare your two sets of results. What happened to your averages? Standard deviations? Etc.
5. Write a brief explanation of what you found in the data.

Step 3

      1.Using the two variables from Step 2 make a scatter plot.

2. Find the equation for the least-squares line, and graph the line on the scatter plot.
3. Find the sample correlation coefficient r and the coefficient of determination r². Is r significant? What criteria did you use to determine if it was significant?
4. What predictions can you make using this data sets? Write a brief explanation of what you found in the data sets

Answer 1

Step 1:

Step 2:

Variable Mean Median Mode
Set A 8.286 9.000 7, 9   
Set B 7.909 9.000 6, 9, 10   

Variable StDev
Set A 1.254
Set B 2.071

There are no outlier present in two sets of data. We see that from box plots, Set A is positively skewed and Set B is negatively skewed. Mean of Set A> Mean of Set B. However median of both sets are same. Standard deviation of set A< Standard deviation of set B and since Mean of Set A> Mean of Set B hence Coefficient of Variation of Set A< Coefficient of Variation of Set B hence Set A is more consistent than Set B.

Step 3: These are not a pair observations (check: no. of observations in set A<no. of observations in set B), so it is not possible do any thing for Step 3.