What is the Mean Absolute Deviation for Daily High Temperatures in St. Louis?

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SUMMARY

The Mean Absolute Deviation (MAD) for the daily high temperatures in St. Louis, calculated using a 2-day moving average, is definitively 3.20. The daily high temperatures recorded were 92, 91, 94, 95, 96, 88, and 90. The 2-day moving averages computed are 91.5, 92.5, 94.5, 95.5, and 92. The absolute errors derived from these averages are 2.5, 2.5, 1.5, 7.5, and 2, leading to the final MAD calculation of 3.20.

PREREQUISITES
  • Understanding of Mean Absolute Deviation (MAD)
  • Familiarity with moving averages, specifically 2-day moving averages
  • Basic statistical concepts including absolute error
  • Ability to perform arithmetic calculations with a set of numbers
NEXT STEPS
  • Learn how to calculate moving averages in statistical analysis
  • Explore the concept of Mean Absolute Deviation in different contexts
  • Study the implications of absolute error in forecasting
  • Investigate other statistical measures of variability, such as standard deviation
USEFUL FOR

This discussion is beneficial for statisticians, data analysts, and anyone involved in forecasting or analyzing temperature data, particularly those interested in understanding the Mean Absolute Deviation and its applications.

smashedpumpki
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I understand MAD, but I cannot figure out this question. Here's the information.

Daily high temperatures in St. Louis for the last week were as follows: 92, 91, 94, 95, 96, 88,90.
The mean absolute deviation based on a 2-day moving average = 3.20

How in the world is it 3.20? I've tried 100's of combinations to try to repeat this answer, but I can't do it. I'm 100% sure this is the correct answer. Can anyone please show me a step by step walk through on this problem? I've spent all day on this... I know it has to be simple.
 
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I'm getting 4.2 :mad:

How you did the problem?
 
I got it! I finally got some help that really explained what 2-day moving average means. This is a forecasting problem.

Numbers - 92, 91, 94, 95, 96, 88,90
2-Day Averages - 91.5, 92.5, 94.5, 95.5, 92
Absolute Error - 2.5, 2.5, 1.5, 7.5, 2
MAD = 3.2
 

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