Question

You want to compare the numbers of hours spent on recreation each week by teachers and non-teachers in your state. You take 100 random samples of 15 teachers and 100 random samples of 15 non-teachers throughout the state and record the median value of each sample. The double box-and-whisker plot shows the distributions of sample medians. Are the samples likely to be representative of all teachers and non-teachers in your state?

Answer 1

Yes, the samples are likely to be representative of all teachers and non-teachers in the state.

Statistical measure of central tendency

The median, in similarity with the mean is a statistical measure of central tendency.

Since, the double box-and-whisker plot shows the distribution of sample medians, it follows that the samples are likely to be representative of all teachers and non-teachers.

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