Reference no: EM132847233
Case 1:
Math and Reading Achievement Scores
The math and reading achievement scores from the National Assessment of Educational Progress for selected states are listed below.
Math Reading
55 61 68 62 62 65 67 67 77 66 77 75
55 51 72 73 68 76 71 72 52 75 78 66
68 79 73 70 66 68 61 69 78 77 78 79
Required Tasks to be solved: Please calculate step by step following the formula.
1. How to Construct a frequency distribution for each data set.
2. How to Construct a histogram for each data set and comment of their shapes.
3. How to Construct a back-to-back stem and leaf plot with the data, and compare the distributions.
4. Compare the distributions with the help of boxplots, and comment on their shapes and skewness.
5. With the help of IQR explain which data is more variable.