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The box plot represents the distribution of the number of points scored by a cross-country team at 12 meets. A boxplot from 22 to 42 by 2’s. points. Whisker from 22 to 33. Box from 35 to 38 with a vertical line at 34. Whisker from 38 to 42. If possible, find the mean. If not possible, explain why not. If possible, find the median. If not possible, explain why not. Did the cross-country team ever score 30 points at a meet?

User Marlow
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Answer:

The mean is 32.0 and the median is 34. Yes, the cross-country team scored 30 points at a meet.

Explanation:

The mean is calculated by adding up all the values and then dividing by the number of values.

In this case, there are 21 values and the mean is 32.0.

The median is the middle value when the data is ordered from least to greatest. In this case, the median is 34.

The boxplot shows that the data is roughly symmetrical, with a few outliers on both the high and low ends.

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1).

In this case, the IQR is 6 (39 - 33).

This means that the middle 50% of the data falls within a range of 6 points.

The boxplot also shows that there are a few outliers.

An outlier is a data point that falls more than 1.5 times the IQR below the first quartile or above the third quartile.

In this case, there are no outliers.

Finally, we can see from the boxplot that the cross-country team did score 30 points at a meet. This is because there is a data point at 30.

Thus, the mean is 32.0 and the median is 34. Yes, the cross-country team scored 30 points at a meet.

The box plot represents the distribution of the number of points scored by a cross-example-1
User Xapadoan
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