Home > CCA > Chapter 11 > Lesson 11.3.3 > Problem 11-103
Duncan is testing two types of memory chips (
Data Set:
A | B | C | D | E | F | G | H | I | J | K | L | M | N | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Chip W | 130 | 130 | 132 | 132 | 133 | 133 | 133 | 134 | 135 | 135 | 135 | 137 | 137 | 137 |
checksum 1873 | ||||||||||||||
Chip Z | 129 | 131 | 131 | 132 | 132 | 132 | 133 | 133 | 133 | 133 | 134 | 137 | 138 | 140 |
checksum 1868 |
When Duncan is trying to summarize the data, he finds the IQR for chip
is larger, but the standard deviation for chip is larger. Both are measures of spread. How can they be conflicting? Use combination histogram and boxplots in your explanation. The IQR can be seen on the boxplot as the length of the box portion.
Does the boxplot for chiphave a larger box than the boxplot for chip ?
Outliers affect standard deviation, but not the IQR.
Does chiphave more outliers than chip ? Which chip should Duncan recommend to the manufacturer? Justify your choice.
Which chip has a lower average energy use? Is it consistent?
Does each seem to have its benefits and drawbacks?Chip
tends to be more energy efficient. It also has a smaller IQR.
However, it has outliers, so these could indicate a reliability problem.Explore using the eTool below .
Click the link to the right for full version. 11-103 HW eTool