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Calculate the sample variance of data

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A research hospital is interested in reducing the length of stay for patients admitted with pneumonia. Investigators followed 10 patients recently admitted to this hospital with pneumonia, and the length of stay for these patients is provided below:

12, 7, 6, 5, 24, 3, 7, 7, 3, 6

a) Calculate the mean.

b) Determine the mode.

c) Determine the median.

d) Determine Q1 and Q3.

e) Calculate the sample variance of this data.

f) Calculate the sample standard deviation of this data.

g) Calculate the interquartile range.

h) Calculate Tukey's fences. Show work.

i) Are there any outliers in this data?

j) Is the mean or median a better measure of central tendency for the estimated length of hospital stay for patients admitted with pneumonia? Explain.

Reference no: EM132855970

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