Question

The box and whisker plots below show two classes' semester grades. Write a paragraph comparing the two sets of data. Be sure to compare the extremes, quartiles, medians, and the different types of ranges.

Answer 1

Answer:

• Interquartile range of data set A is smaller, meaning data set A is more consistent around median than data set B.

Step-by-step explanation:

• A box and whisker plot is a summarized graph summarizing, the five numbers, minimum, lower quartile, median, upper quartile and maximum.
• While the portion covering lower quartile, median and upper quartile appears as a box, minimum and maximum data points show up as whiskers at the two ends (see figure below). Obviously, while its total length indicates range of the data, the size of the box indicates the interquartile range. Let us now try to compare two data sets A and B, whose box and whisker chart is given below.

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From this, we observe that

(1) It is apparent that Data set A has a larger range suggesting that it has the worst and the best of the two.

(2) Further, although data set A has a higher maximum (and lower minimum), data set B has a much higher median than data set A.

(3) Interquartile range of data set A is smaller, meaning data set A is more consistent around the median than data set B.

Answer 2

Data set A has a lower interquartile range, implying that it is more constant around the median than data set B.

The five figures, minimum, lower quartile, median, upper quartile, and maximum, are summarised in a box and whisker plot.

While the lower quartile, median, and higher quartile data points are represented by a box, the minimum and maximum data points are represented by whiskers at the two ends (see figure below). While the entire length of the box reflects the data range, the size of the box indicates the interquartile range. Let's compare two data sets, A and B, using the box and whisker chart shown below.

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From this, we observe that

(1) Data set A appears to have a broader range, indicating that it contains the worst and best of the two.

(2) Furthermore, data set B has a substantially higher median than data set A, despite the fact that data set A has a greater maximum (and lower minimum).

(3) Data set A has a lower interquartile range, implying that it is more constant around the median than data set B.

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