Question

To Explain:the expected the mean, median,standard deviation and IQR to change.

Summarizing quantitative data
ANSWERED
asked 2021-03-09
To Explain:the expected the mean, median,standard deviation and IQR to change.

Answers (1)

2021-03-10

\(\begin{array}{|c|c|} \hline 1,4 & 1:5 & 1.7 & 19,29 & 2.3 & 9°6 & 2.6 & 9.6 & 9.8 & 0:9 & 3'1 & 3.2 & 913 & 3.3 & 3.4 & 4.9 & 4.4 & 45 \\ \hline \end{array}\)

Total number of values is odd so median is the \(10^{th}\) value that is 2.8%.
\(Mean=\frac{61.4\%-7.5\%}{19}=2.8\%\)
So new mean is equal to 2.8%
Standard deviation decreases. Las Vegas job growth percentage works as an outlier in the distribution so omitting Las Vegas decreases standard deviation also.
Las Vegas value is last in order data set so omitting it does not change IQR.

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