So how do the two sets of scores compare? Which group did better?
In order to decide you have to look at the measures of central tendency that you calculated along with the boxplots you created.
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Let's look at some of the different statistical measures for each set of data.
| Measure of Central Tendency | Group 1 | Group 2 |
| Minimum Score | 1600 | 1400 |
| Quartile 1 | 1700 | 1600 |
| Median | 1820 | 1805 |
| Quartile 3 | 1920 | 1960 |
| Maximum Score | 1950 | 2055 |
| Mean | 1780 | 1795 |
| Interquartile Range | 220 | 360 |
| Standard Deviation | 155 | 202.4 |
Question
Which group of students had the higher average SAT score?
Group 1: 1780
Group 2: 1795
Conclusion: Class B had the higher average SAT score.
Group 2: 1795
Conclusion: Class B had the higher average SAT score.
Question
What were the standard deviations of the groups?
Group 1: 155
Group 2: 202
Conclusion: SAT scores for students in group 1 varied less than those in group 2.
Group 2: 202
Conclusion: SAT scores for students in group 1 varied less than those in group 2.
