Question

The distribution for a population of measurements is presented in the histogram below. The mean is 3.2 and the standard deviation is 2. Suppose that five students each take a sample of ten values from the population and each student calculates the sample mean for his or her ten data values. The students draw a dotplot of their five sample means on the classroom board so that they can compare them. Which of the dotplots a -c do you think is the most plausible for the one they drew on the board? 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 0.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 6 8 10 Dotplot a. Dotplot b. Dotplot c.

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Answer #1

From the graph it is clear that the most of data are concentrated on observation values "3-4" and the graph is right skewd (positive skewed) and mean is 3.2 and standard deviation is 2 also. (i. e. The most of data lies between( :sigma ).

So option (c) dotplot c is correct

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