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?
What can you conclude from the double box-and-whisker plot? Explain.

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Solution

Median of Non-Teachers = $7$
Median of Teachers = $5$
Final Answer: Yes, the samples are likely to be representative of all teachers and non-teachers in your state because it has been given in the question.
The number of hours spent by Non-teachers is more than the teachers.

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Median of Non-Teachers = 7Median of Teachers = 5Final Answer: Yes, the samples are likely to be representative of all teachers and non-teachers in your state because it has been given in the question.The number of hours spent by Non-teachers is more than the teachers.

Median of Non-Teachers = $7$
Median of Teachers = $5$
Final Answer: Yes, the samples are likely to be representative of all teachers and non-teachers in your state because it has been given in the question.
The number of hours spent by Non-teachers is more than the teachers.