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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.

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 distributi class=

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mathmate

Answer:

Step-by-step explanation:

1. Half of the class got 60 or above, i.e. median mark is 60.

2. The middle half of the class got between 57 and 64% (i.e. the interquartile range is (64-57) = 7

3. The test marks range between 51 and 67%.

anuksha0456

The center of the distribution = 60

The variability of the distribution = 10.5

The spread of the distribution = 16

What is a box-whisker plot?

A box and whisker plot is a graphical representation of the data at hand. It shows us quartiles in the data, that is, it shows what percentage of data lies between what data points.

How do we analyze the given diagram?

The first point in the given data is 51.

The first quartile(Q₁) lies at 57, that is, 25% of the data lies below 57.

The second quartile(Q₂) or the median lies at 60, that is, 50% of data lies below 60.

The third quartile(Q₃) lies at 64, that is, 75% of data lies below 64.

The endpoint in the given data is 67.

How do we infer these data?

The center is the Second Quartile(Q₂) or the Median = 60

The variability of the distribution is 1.5 times its interquartile range, that is, 1.5*(Q₃ - Q₁) = 1.5*(64-57) = 1.5 * 7 = 10.5

The spread of the distribution is its range, that is, the endpoint - start point. = 67 - 51 = 16.

Learn more about Box and Whisker plot at

https://brainly.com/question/12343132

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