Question

This box plot shows scores on a recent math test in a sixth-grade class. Identify at least three things that you can infer from the box plot about the distribution’s center, variability, and spread.

a) The median, range, and interquartile range.
b) The mean, standard deviation, and variance.
c) The mode, minimum, and maximum values.
d) The skewness, kurtosis, and quartiles.

Answer 1

A box plot can provide information on the median, range, interquartile range, and skewness of a dataset, indicating the distribution's center, variability, spread, and asymmetry.

Step-by-step explanation:

Understanding Box Plots

When analyzing a box plot, there are several key pieces of information we can gather about the distribution of data such as the center, variability, and spread.

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By studying the box plot, we see that the bottom 25% of scores include Ds and Fs, while the middle 50% (within the IQR) are Ds, Cs, and Bs. Furthermore, a large number of grades are As and Bs, as deduced from the long left whisker and upper half of the data.