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Hui recorded the temperature at the same time each day for one month.

He found that the MAD for his data set was 4.3. What does this information tell you about the temperatures that Hui recorded?

Choose True or False for each statement.

The lowest temperature varied only 4.3 degrees from the mean temperature.

True/false



On most days the temperature varied about 4.3 degrees from the mean temperature.

Choose...



No temperature varied more than 4.3 degrees from the mean temperature.

Choose...



The highest temperature varied about 4.3 degrees from the lowest temperature.

Choose...

User Daj
by
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2 Answers

3 votes

Answer:

a c e

Explanation:

User Cantlin
by
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4 votes

Answer:

The only true statement is statement 2.

On most days the temperature varied about 4.3 degrees from the mean temperature.

Explanation:

The MAD is known as the Mean Absolute Deviation for any given dataset.

The absolute deviation is a measure of dispersion which quantifies the spread of the variables in the dataset from the mean.

It gives the only the positive value of the deviations of each variable from the mean.

The mean absolute deviation now signifies the average of the sum of all of these positive deviations of each variable from the mean.

Hence, the MAD value only gives how much the variables will varubfrom the mean on average.

Looking at the statements, it is evident that the MAD temperature value of 4.3 doesn't directly give the maximum or minimum variation from the mean temperature or the highest variation from the mean, rather it does show that 'On most days the temperature varied about 4.3 degrees from the mean temperature'.

Hope this Helps!!!

User Ali Asjad
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4.3k points