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 Pren's data set is 119, the lower quartile is 200, and the upper quartile is 218. These values were determined by sorting the data and calculating the median for each quartile.

First, let's order the data set:

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

Now calculate the necessary values:

  1. Range: Subtract the smallest number (111) from the largest number (230). Range = 230 - 111 = 119.
  2. Lower Quartile (Q1): This is the median of the first half of the data. The first half is 111, 198, 200, 204, 210. The median of this half is 200.
  3. Upper Quartile (Q3): This is the median of the second half of the data. The second half is 211, 216, 218, 224, 230. The median of this half is 218.

Thus, the correct answer is:

  • Range: 119
  • Lower Quartile: 200
  • Upper Quartile: 218

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