Question

descriptive statistics data mean 614.38 median 615.00 mode 620.00 standard deviation 78.09 (b) which measure or measures of central tendency are most appropriate for this data set? the mean or the median because these measures are close in value, which suggests the data set is fairly symmetric. the median because the data set is strongly skewed. the mode because the data is integer valued with a very small range. (c) do the measures of central tendency agree? no yes (e) use excel or megastat to sort and standardize the data. what is the z - score for the following rent value? note: round your answer to 2 decimal places. rent value z - score 810 (f) are there unusual data values? no yes (g) using the empirical rule, do you think the data could be from a normal population? no yes

Explanation:

Step1: Recall the formula for z - score

The formula for the z - score is \(z=\frac{x-\mu}{\sigma}\), where \(x\) is the data point, \(\mu\) is the mean, and \(\sigma\) is the standard deviation.

Step2: Substitute the given values into the formula

We are given \(x = 810\), \(\mu=614.38\), and \(\sigma = 78.09\).

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Step3: Calculate the z - score

\(z=\frac{195.62}{78.09}\approx2.50\)

Answer:

\(2.50\)