High School

Pren recorded this data set, which contains an outlier:

204, 216, 111, 224, 230, 211, 210, 198, 200, 218

What numbers represent the range, lower quartile, and upper quartile?

A. Range: 210.5
Lower quartile: 200
Upper quartile: 218

B. Range: 14
Lower quartile: 111
Upper quartile: 198

C. Range: 119
Lower quartile: 218
Upper quartile: 200

D. Range: 119
Lower quartile: 200
Upper quartile: 218

Answer :

The range of the data set is 119, the lower quartile (Q1) is 200, and the upper quartile (Q3) is 218. This means the correct selection is the one with these values.

To find the correct values, we need to calculate the range, lower quartile (Q1), and upper quartile (Q3) for the data set.

First, sort the data in ascending order: 111, 198, 200, 204, 210, 211, 216, 218, 224, 230.

Range: Calculated as the difference between the maximum and minimum values. Range = 230 - 111 = 119.

Lower Quartile (Q1): The median of the first half of the data set. The first half is 111, 198, 200, 204, 210. Q1 is 200.

Upper Quartile (Q3): The median of the second half of the data set. The second half is 211, 216, 218, 224, 230. Q3 is 218.

So, the correct numbers representing the range, lower quartile, and upper quartile are:

Range: 119

Lower quartile: 200

Upper quartile: 218

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