jasminecoronetti44
26.07.2019 •
Mathematics
The data show the average monthly temperatures for two cities over a 6-month period. city 1: {20, 24, 40, 63, 76, 89} city 2: {41, 50, 58, 62, 72, 83} what does the mean absolute deviation (mad) of the data sets tell you about the temperatures over the 6-month period? select from the drop-down menus to correctly answer the question. the mad for city 2 is the mad for city 1, which means the average monthly temperatures of city 2 vary the average monthly temperatures for city 1.
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Ответ:
The MAD of city 2 is less than the MAD for city 1, which means the average monthly temperature of city 2 vary less than the average monthly temperatures for City 1.
Step-by-step explanation:
For comparing the mean absolute deviations of both data sets we have to calculate the mean absolute deviation for both data sets first,
So for city 1:
Now to calculate the mean deviations mean will be subtracted from each data value. (Note: The minus sign is ignored as the deviation is the distance of value from the mean and it cannot be negative. For this purpose absolute is used)
The deviations will be added then.
So the mean absolute deviation for city 1 is 24 ..
For city 2:
Now to calculate the mean deviations mean will be subtracted from each data value. (Note: The minus sign is ignored)
The deviations will be added then.
So the MAD for city 2 is 11.33 ..
So,
The MAD of city 2 is less than the MAD for city 1, which means the average monthly temperature of city 2 vary less than the average monthly temperatures for City 1.
Ответ:
The MAD for City 2 is less than the MAD for City 1, which means the average monthly temperatures of City 2 vary less than the average monthly temperatures for City 1.
Step-by-step explanation:
The given data sets are
City 1 : {20, 24, 40, 63, 76, 89}
City 2 : {41, 50, 58, 62, 72, 83}
Formula for mean:
Mean of city 1 is
Mean of city 2 is
Formula for mean absolute deviation:
where, μ is the mean of data.
MAD for City 1:
MAD for City 2
From the above calculation we get 24 > 11.33 or MAD of city 1 > MAD of city 2.
The MAD for City 2 is less than the MAD for City 1, which means the average monthly temperatures of City 2 vary less than the average monthly temperatures for City 1.
Ответ:
Answer is in the photo. I couldn't attach it here, but uploaded it to a file hosting. link below! Good Luck!
cutt.ly/4zZs6GM