Listed below are foot lengths in inches for 11 randomly selected people taken in

Question

Listed below are foot lengths in inches for 11 randomly selected people taken in 1988. Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results. Are the statistics representative of the current population of all people? 9.9 8.7 10.1 9.2 9.2 9.9 0.1 9.4 9.1 9.3 10.2 The range of the sample data is (Type an integer or a decimal. Do not round.) The standard deviation of the sample data is (Round to two decimal places as needed.) people inches2 inches. people. The variance of the sample data is (Round to two decimal places as needed.) Are the statistics representative of the current por OA. Since the measurements were made in 15 le? sarily representative of the population today O B. The statistics are representative because te snuaru uevation of the sample data is less than 1 C. The statistics are not representative because a smaller sample is needed to represent the population O D. The statistics are representative because they are taken from a random sample

Explanation / Answer

The range of the sample data = 10.2 - 8.7 = 1.5 inch

Mean = (9.9 + 8.7 + 10.1 + 9.2 + 9.2 + 9.9 + 10.1 + 9.4 + 9.1 + 9.3 + 10.2)/11 = 9.55 inch

The standard deviation of the sample data = Sqrt(((9.9 - 9.55)^2 + (8.7 - 9.55)^2 + (10.1 - 9.55)^2 + (9.2 - 9.55)^2 + (9.2 - 9.55)^2 + (9.9 - 9.55)^2 + (10.1 - 9.55)^2 + (9.4 - 9.55)^2 + (9.1 - 9.55)^2 + (9.3 - 9.55)^2 + (10.2 - 9.55)^2)/10) = 0.50 inch

The variance of the sample data = (0.50)^2 = 0.25 inches^2

Option - D) The statistics are representative because they are taken from a random sample.

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