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These are unsorted hourly wages in dollar of nine individuals: 74 34 28 42 21 23 19 78 36 Report measurement units where appropriate. Compute
These are unsorted hourly wages in dollar of nine individuals:
- 74
- 34
- 28
- 42
- 21
- 23
- 19
- 78
- 36
Report measurement units where appropriate.
- Compute the sample mean
- Compute the three quartiles and the IQR
- Interpret Q1
- Compute the standard deviation (provide all computation details).
- Using the empirical rule, make sense of what you find for the mean and standard deviation. (Hint: compute an interval whose bounds are given by the mean plus and minus 2 standard deviations)
- Use the IQR to detect outliers (hint: compute an interval whose bounds are Q1-1.5IQR and Q3+1.5IQR). Do you find any outlier?
- For all statistics computed above, describe which are location and which are dispersion measures.
- For all statistics computed above, describe which are robust to outliers and why.
- Report and interpret the z-score of the first individual in the sample (whose wage is 74 dollars/hour).
- Which observation will have the largest z-score?
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