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Home > CCA > Chapter 11 > Lesson 11.3.3 > Problem 11-103

11-103.
  1. Duncan is testing two types of memory chips (W and Z) for performance and reliability. One test involves a measurement of the maximum electrical current in milliamperes required by the chip when storing and retrieving 14 different data sets. A lower required current means greater energy efficiency. 11-103 HW eTool (Desmos). Homework Help ✎

  2. 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

    1. When Duncan is trying to summarize the data, he finds the IQR for chip W is larger, but the standard deviation for chip Z is larger. Both are measures of spread. How can they be conflicting? Use combination histogram and boxplots in your explanation.

    2. Which chip should Duncan recommend to the manufacturer? Justify your choice.

The IQR can be seen on the boxplot as the length of the box portion.
Does the boxplot for chip Z have a larger box than the boxplot for chip W?
Outliers affect standard deviation, but not the IQR.
Does chip Z have more outliers than chip W?

Which chip has a lower average energy use? Is it consistent?
Does each seem to have its benefits and drawbacks?

Chip Z tends to be more energy efficient. It also has a smaller IQR.
However, it has outliers, so these could indicate a reliability problem.

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