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19 votes
Find the deviations from the mean for the set of data: 27, 30, 23, 25, 25.Score2730232525Deviation means for the set of data

User Inuyasha
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1 Answer

26 votes
26 votes
Answer:

The mean deviation for the set of data = 2

Step-by-step explanation:

The given set of data is:

27, 30, 23, 25, 25.

The mean deviation formula for ungrouped data is:


MD=(\sum_^|x-\mu|)/(n)

The sample size, n = 5

The mean, µ = (27 + 30 + 23 + 25 + 25)/5

µ = 130/5

µ = 26


\begin{gathered} \sum_^|x-\mu|=|27-26|+|30-26|+|23-26|+|25-26|+|25-26| \\ \\ \sum_^|x-\mu|=|1|+|4|+|-3|+|-1|+|-1| \\ \\ \sum_^|x-\mu|=1+4+3+1+1 \\ \\ \sum_^|x-\mu|=10 \end{gathered}

The mean deviation is therefore:


\begin{gathered} MD=(\sum_^|x-\mu|)/(n) \\ \\ MD=(10)/(5) \\ \\ MD=2 \end{gathered}

The mean deviation for the set of data = 2

User Ali Navidi
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