The box and whisker plot for the data-set is given at the end of the question.
What is a box plot?
It is a plot that focuses the interquartile range of the population, which is the difference between the third and the first quartile, but gives a five number summary of the population, composed by these following measures.
For this problem, we have that:
- The smallest value is of 50, hence the left dot has to be at 50 in your graph.
- The highest value is of 77, hence the right dot has to be at 50 in your graph.
- The data-set has an even cardinality, of 17, hence the median is the 9th element, which is of 65, which means that the middle vertical line should be at 65.
- The first quartile is the median of the first eight elements, hence the mean of the 4th and 5th elements, which are 55 and 57, hence the first quartile is of 56, which means that the left vertical line should be at 56.
- The third quartile is the median of the first eight elements, hence the mean of the 4th and 5th elements of the second half, which are both 71, hence the third quartile is of 71, which means that the right vertical line should be at 71.
The graph at the end gives a vertical version of the box plot.
More can be learned about box plots at https://brainly.com/question/27721471
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