Which box plot represents a set of data that has the least mean absolute deviation?
2 answers:
<h2>Answer with explanation:</h2>
If the box plot or the distribution is spread out then the mean absolute deviations i.e. MAD is high.
and if the box plot is clustered that is the distribution is less spread out that is all the data values are close to the center value then the mean absolute deviation i.e. MAD is small.
From the given four box plot we see that the second box plot is less spread and the data values are close to the mean of the data.
Hence, it will lead to the least Mean absolute deviation.
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<h3>Answer :</h3>
<u>Given</u> :
- 9(m + 5) - 3(m - 2) = 8m + 31
We have to find value of m
➠ 9(m + 5) - 3(m - 2) = 8m + 31
➠ 9m + 45 - 3m + 6 = 8m + 31
➠ 9m - 3m + 45 + 6 = 8m + 31
➠ 6m + 51 = 8m + 31
➠ 51 - 31 = 8m - 6m
➠ 20 = 2m
➠ m = 20/2
➠<u> m = 10</u>
<h3>Hope It Helps!</h3>